Pith Number

pith:36P2TUJT

pith:2011:36P2TUJTJDBE3TIPCIJ5L6S6GJ

not attested not anchored not stored refs pending

Avoidance Coupling

Alexander E. Holroyd, David B. Wilson, James Martin, Omer Angel, Peter Winkler

arxiv:1112.3304 v2 · 2011-12-14 · 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{36P2TUJTJDBE3TIPCIJ5L6S6GJ}

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	2026-05-18T03:18:51.913260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9fa9d13348c24dcd0f1213d5fa5e3254e674a9a85db5e02dd0d199f5016cd3

Aliases

arxiv: 1112.3304 · arxiv_version: 1112.3304v2 · doi: 10.48550/arxiv.1112.3304 · pith_short_12: 36P2TUJTJDBE · pith_short_16: 36P2TUJTJDBE3TIP · pith_short_8: 36P2TUJT

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/36P2TUJTJDBE3TIPCIJ5L6S6GJ \
  | 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: df9fa9d13348c24dcd0f1213d5fa5e3254e674a9a85db5e02dd0d199f5016cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f7699b03f24345a286dabaaf0816f6e0b75a5b2437f9e86756dfc148d71c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-14T19:03:15Z",
    "title_canon_sha256": "3142c720d6fc5d7395eecb6d27e355849da43810243035aeaf53b32db336209a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3304",
    "kind": "arxiv",
    "version": 2
  }
}