Pith Number

pith:ZUDHHUZ2

pith:2012:ZUDHHUZ2LVREYVJP2YMVMSWVAY

not attested not anchored not stored refs pending

Mean-field analysis of the majority-vote model broken-ergodicity steady state

Jose F. Fontanari, Paulo F. C. Tilles

arxiv:1203.0162 v2 · 2012-03-01 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUDHHUZ2LVREYVJP2YMVMSWVAY}

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	2026-05-18T03:50:25.381955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0673d33a5d624c552fd619564ad50600723a8baba50ba91bbc70407786a8ec

Aliases

arxiv: 1203.0162 · arxiv_version: 1203.0162v2 · doi: 10.48550/arxiv.1203.0162 · pith_short_12: ZUDHHUZ2LVRE · pith_short_16: ZUDHHUZ2LVREYVJP · pith_short_8: ZUDHHUZ2

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/ZUDHHUZ2LVREYVJP2YMVMSWVAY \
  | 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: cd0673d33a5d624c552fd619564ad50600723a8baba50ba91bbc70407786a8ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e28b98fff9f6a256dc7d377458f9e0633d4bc8ddd5a8c0a6f4227faac01feab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-03-01T12:02:01Z",
    "title_canon_sha256": "a40cc97824c8cd57c1cb5685c5a9f697493592dc5b32ce8975a01306a7364e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0162",
    "kind": "arxiv",
    "version": 2
  }
}