Pith Number

pith:JNEBZMNQ

pith:2015:JNEBZMNQIPYSRT4NHJG5CQ7CNH

not attested not anchored not stored refs pending

Random intersection graphs and their applications in security, wireless communication, and social networks

Jun Zhao, Osman Ya\u{g}an, Virgil Gligor

arxiv:1504.03161 v1 · 2015-02-11 · cs.DM · cs.CR · cs.SI · math.CO · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNEBZMNQIPYSRT4NHJG5CQ7CNH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:18:59.009240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b481cb1b043f128cf8d3a4dd143e269ebfac215d5080a012d02bae7e5fc9541

Aliases

arxiv: 1504.03161 · arxiv_version: 1504.03161v1 · doi: 10.48550/arxiv.1504.03161 · pith_short_12: JNEBZMNQIPYS · pith_short_16: JNEBZMNQIPYSRT4N · pith_short_8: JNEBZMNQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JNEBZMNQIPYSRT4NHJG5CQ7CNH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4b481cb1b043f128cf8d3a4dd143e269ebfac215d5080a012d02bae7e5fc9541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c152dcaeed3b8c4d7c6da9c06183036d21116655d9e8a04f633eead8a29f7817",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.SI",
      "math.CO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-02-11T09:37:09Z",
    "title_canon_sha256": "b9c0a1d03602796b871dbe58b4243f6135216b23219d7fae992c5babddd0832f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03161",
    "kind": "arxiv",
    "version": 1
  }
}