I was curious as about this as well, so I made a small program to show the structure of the tokens array:
This program:
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include <string.h>
#include "jsmn.h"
jsmntok_t t[512];
char jsonStr[512*1024];
int main()
{
  size_t pos = 0;
  int    c;
  while ((c = getchar()) != EOF)
  {
    jsonStr[pos] = c;
    ++pos;
    if (pos == sizeof(jsonStr)) break;
  }
  jsonStr[pos] = 0;
  jsmn_parser p;
  jsmn_init(&p);
  int tCount = jsmn_parse(&p, jsonStr, strlen(jsonStr), t, sizeof(t)/sizeof(*t));
  for (int i = 0; i != tCount; ++i)
  {
    jsmntok_t *token = t + i;
    char * type = 0;
    switch (token->type)
    {
      case JSMN_PRIMITIVE:
        type = "PRIMITIVE";
        break;
      case JSMN_OBJECT:
        type = "OBJECT";
        break;
      case JSMN_ARRAY:
        type = "ARRAY";
        break;
      case JSMN_STRING:
        type = "STRING";
        break;
      default:
        type = "UNDEF";
    }
#ifdef JSMN_PARENT_LINKS
    printf("node: %4d, %9s, parent: %4d, children: %5d, data:\n%.*s, \n", i, type, token->parent, token->size, token->end-token->start, jsonStr+token->start);
#else
    printf("node: %4d, %9s, children: %5d, data:\n%.*s, \n", i, type, token->size, token->end-token->start, jsonStr+token->start);
#endif
  }
}
prints this json (taken from: https://en.wikipedia.org/wiki/JSON):
{
  "firstName": "John",
  "lastName": "Smith",
  "isAlive": true,
  "age": 25,
  "address": {
    "streetAddress": "21 2nd Street",
    "city": "New York",
    "state": "NY",
    "postalCode": "10021-3100"
  },
  "phoneNumbers": [
    {
      "type": "home",
      "number": "212 555-1234"
    },
    {
      "type": "office",
      "number": "646 555-4567"
    },
    {
      "type": "mobile",
      "number": "123 456-7890"
    }
  ],
  "children": [],
  "spouse": null
}
as:
node:    0,    OBJECT, parent:   -1, children:     8, data:
{
  "firstName": "John",
  "lastName": "Smith",
  "isAlive": true,
  "age": 25,
  "address": {
    "streetAddress": "21 2nd Street",
    "city": "New York",
    "state": "NY",
    "postalCode": "10021-3100"
  },
  "phoneNumbers": [
    {
      "type": "home",
      "number": "212 555-1234"
    },
    {
      "type": "office",
      "number": "646 555-4567"
    },
    {
      "type": "mobile",
      "number": "123 456-7890"
    }
  ],
  "children": [],
  "spouse": null
},
node:    1,    STRING, parent:    0, children:     1, data:
firstName,
node:    2,    STRING, parent:    1, children:     0, data:
John,
node:    3,    STRING, parent:    0, children:     1, data:
lastName,
node:    4,    STRING, parent:    3, children:     0, data:
Smith,
node:    5,    STRING, parent:    0, children:     1, data:
isAlive,
node:    6, PRIMITIVE, parent:    5, children:     0, data:
true,
node:    7,    STRING, parent:    0, children:     1, data:
age,
node:    8, PRIMITIVE, parent:    7, children:     0, data:
25,
node:    9,    STRING, parent:    0, children:     1, data:
address,
node:   10,    OBJECT, parent:    9, children:     4, data:
{
    "streetAddress": "21 2nd Street",
    "city": "New York",
    "state": "NY",
    "postalCode": "10021-3100"
  },
node:   11,    STRING, parent:   10, children:     1, data:
streetAddress,
node:   12,    STRING, parent:   11, children:     0, data:
21 2nd Street,
node:   13,    STRING, parent:   10, children:     1, data:
city,
node:   14,    STRING, parent:   13, children:     0, data:
New York,
node:   15,    STRING, parent:   10, children:     1, data:
state,
node:   16,    STRING, parent:   15, children:     0, data:
NY,
node:   17,    STRING, parent:   10, children:     1, data:
postalCode,
node:   18,    STRING, parent:   17, children:     0, data:
10021-3100,
node:   19,    STRING, parent:    0, children:     1, data:
phoneNumbers,
node:   20,     ARRAY, parent:   19, children:     3, data:
[
    {
      "type": "home",
      "number": "212 555-1234"
    },
    {
      "type": "office",
      "number": "646 555-4567"
    },
    {
      "type": "mobile",
      "number": "123 456-7890"
    }
  ],
node:   21,    OBJECT, parent:   20, children:     2, data:
{
      "type": "home",
      "number": "212 555-1234"
    },
node:   22,    STRING, parent:   21, children:     1, data:
type,
node:   23,    STRING, parent:   22, children:     0, data:
home,
node:   24,    STRING, parent:   21, children:     1, data:
number,
node:   25,    STRING, parent:   24, children:     0, data:
212 555-1234,
node:   26,    OBJECT, parent:   20, children:     2, data:
{
      "type": "office",
      "number": "646 555-4567"
    },
node:   27,    STRING, parent:   26, children:     1, data:
type,
node:   28,    STRING, parent:   27, children:     0, data:
office,
node:   29,    STRING, parent:   26, children:     1, data:
number,
node:   30,    STRING, parent:   29, children:     0, data:
646 555-4567,
node:   31,    OBJECT, parent:   20, children:     2, data:
{
      "type": "mobile",
      "number": "123 456-7890"
    },
node:   32,    STRING, parent:   31, children:     1, data:
type,
node:   33,    STRING, parent:   32, children:     0, data:
mobile,
node:   34,    STRING, parent:   31, children:     1, data:
number,
node:   35,    STRING, parent:   34, children:     0, data:
123 456-7890,
node:   36,    STRING, parent:    0, children:     1, data:
children,
node:   37,     ARRAY, parent:   36, children:     0, data:
[],
node:   38,    STRING, parent:    0, children:     1, data:
spouse,
node:   39, PRIMITIVE, parent:   38, children:     0, data:
null,