Pith Number

pith:3FNNXA2T

pith:2010:3FNNXA2TGNXSH2NCPEB6BQAOFG

not attested not anchored not stored refs pending

Stochastic Minority on Graphs

Damien Regnault, Eric Thierry1, Jean-Baptiste Rouquier

arxiv:1011.5119 v1 · 2010-11-23 · nlin.CG · cs.DC · cs.DM · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FNNXA2TGNXSH2NCPEB6BQAOFG}

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	2026-05-18T04:34:54.777700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95adb8353336f23e9a27903e0c00e29af3b08bb92c351f744c5ea768554d8ef

Aliases

arxiv: 1011.5119 · arxiv_version: 1011.5119v1 · doi: 10.48550/arxiv.1011.5119 · pith_short_12: 3FNNXA2TGNXS · pith_short_16: 3FNNXA2TGNXSH2NC · pith_short_8: 3FNNXA2T

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/3FNNXA2TGNXSH2NCPEB6BQAOFG \
  | 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: d95adb8353336f23e9a27903e0c00e29af3b08bb92c351f744c5ea768554d8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7091a1385ba6f36717980b5399de744325fba465b877e4905ba19a6f6cb01a7a",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.DM",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2010-11-23T14:47:11Z",
    "title_canon_sha256": "f4423b2006d71a86602e7ba2223f489ffaa4cd8cc8289c91067bcaca8dba8aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5119",
    "kind": "arxiv",
    "version": 1
  }
}