Pith Number

pith:JOQX3NQO

pith:2011:JOQX3NQO2AAH3H4FX3IQQVSVZF

not attested not anchored not stored refs pending

Phase transition in the detection of modules in sparse networks

Aurelien Decelle, Cristopher Moore, Florent Krzakala, Lenka Zdeborov\'a

arxiv:1102.1182 v1 · 2011-02-06 · cond-mat.stat-mech · cs.LG · cs.SI · 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{JOQX3NQO2AAH3H4FX3IQQVSVZF}

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	2026-05-18T04:16:22.640490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba17db60ed0007d9f85bed1085655c9784ee3db95a74a955252191a39d61c4d

Aliases

arxiv: 1102.1182 · arxiv_version: 1102.1182v1 · doi: 10.48550/arxiv.1102.1182 · pith_short_12: JOQX3NQO2AAH · pith_short_16: JOQX3NQO2AAH3H4F · pith_short_8: JOQX3NQO

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/JOQX3NQO2AAH3H4FX3IQQVSVZF \
  | 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: 4ba17db60ed0007d9f85bed1085655c9784ee3db95a74a955252191a39d61c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca5ecde6013dcadafc79c45ddc0569b05471a35f12c7b721745a755e38dd6e1",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-06T18:43:03Z",
    "title_canon_sha256": "e28630067d995265ec17ffe101d154b92f1d5c2138c38046f75ef0f9a3fed933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1182",
    "kind": "arxiv",
    "version": 1
  }
}