Pith Number

pith:7YICCYOY

pith:2014:7YICCYOY6HEFGCXD7JY6WUD3IT

not attested not anchored not stored refs pending

Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs

Itai Benjamini, Li-Yang Tan, Omer Tamuz, Ryan O'Donnell, Siu-on Chan

arxiv:1405.2486 v1 · 2014-05-11 · math.PR · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YICCYOY6HEFGCXD7JY6WUD3IT}

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	2026-05-18T00:17:55.613780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe102161d8f1c8530ae3fa71eb507b44e177789f2dad44c075835ee4533a7ebc

Aliases

arxiv: 1405.2486 · arxiv_version: 1405.2486v1 · doi: 10.48550/arxiv.1405.2486 · pith_short_12: 7YICCYOY6HEF · pith_short_16: 7YICCYOY6HEFGCXD · pith_short_8: 7YICCYOY

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/7YICCYOY6HEFGCXD7JY6WUD3IT \
  | 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: fe102161d8f1c8530ae3fa71eb507b44e177789f2dad44c075835ee4533a7ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcb2bf7794a7608a680d48c505d316b7c2495d4b0e3224d7841de8591bfddc7",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-11T01:24:22Z",
    "title_canon_sha256": "dd778344e541b52b230a9e4cbef44fff951592ce3dea9ea486a18cad272ddfae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2486",
    "kind": "arxiv",
    "version": 1
  }
}