Pith Number

pith:GG4MQEEC

pith:2014:GG4MQEECITZQOHAJHMT5I5EBLL

not attested not anchored not stored refs pending

Statistical mechanics of random geometric graphs: Geometry-induced first order phase transition

Ginestra Bianconi, Massimo Ostilli

arxiv:1412.0756 v2 · 2014-12-02 · cond-mat.dis-nn · cond-mat.stat-mech · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG4MQEECITZQOHAJHMT5I5EBLL}

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	2026-05-18T02:17:51.620562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b8c8108244f3071c093b27d474815ae7dfdb84142d0b736840ce256d9ad206

Aliases

arxiv: 1412.0756 · arxiv_version: 1412.0756v2 · doi: 10.48550/arxiv.1412.0756 · pith_short_12: GG4MQEECITZQ · pith_short_16: GG4MQEECITZQOHAJ · pith_short_8: GG4MQEEC

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/GG4MQEECITZQOHAJHMT5I5EBLL \
  | 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: 31b8c8108244f3071c093b27d474815ae7dfdb84142d0b736840ce256d9ad206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f3b55970022b9cfaa6eea0a5f49d54c1225131473b9ea12945c4ddd61cfe33d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2014-12-02T01:36:33Z",
    "title_canon_sha256": "241752f37f56ad4b8672df9cce81cb7a803948419f67bbed26d49bea67e1b24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0756",
    "kind": "arxiv",
    "version": 2
  }
}