Pith Number

pith:4L7SYP2C

pith:2010:4L7SYP2CPAWYH3TLAYV26EMMPV

not attested not anchored not stored refs pending

Stochastic Flips on Two-letter Words

Damien Regnault, Olivier Bodini, Thomas Fernique

arxiv:1010.1086 v1 · 2010-10-06 · math.PR · cond-mat.stat-mech · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L7SYP2CPAWYH3TLAYV26EMMPV}

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	2026-05-18T04:39:49.861887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ff2c3f42782d83ee6b062baf118c7d7968a2324c421af44f776109f9cf13d6

Aliases

arxiv: 1010.1086 · arxiv_version: 1010.1086v1 · doi: 10.48550/arxiv.1010.1086 · pith_short_12: 4L7SYP2CPAWY · pith_short_16: 4L7SYP2CPAWYH3TL · pith_short_8: 4L7SYP2C

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/4L7SYP2CPAWYH3TLAYV26EMMPV \
  | 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: e2ff2c3f42782d83ee6b062baf118c7d7968a2324c421af44f776109f9cf13d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822232de2156310e2825a201e61915af45b9d0ef0b848649d61dfcc4c7f1e828",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-06T08:24:53Z",
    "title_canon_sha256": "c2d4affac94a8ae8ee7ab6feae09267e454323a6811465608dcae8f94bab5006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1086",
    "kind": "arxiv",
    "version": 1
  }
}