Pith Number

pith:U3HPKRFA

pith:2013:U3HPKRFADT6FVS2NBM7TQZSZ55

not attested not anchored not stored refs pending

Muller's ratchet clicks in finite time

Etienne Pardoux, Julien Audiffren

arxiv:1303.2037 v1 · 2013-03-08 · 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{U3HPKRFADT6FVS2NBM7TQZSZ55}

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	2026-05-18T02:42:29.072969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6cef544a01cfc5acb4d0b3f386659ef4972c4709b1765ab26f0dcdde01dabd2

Aliases

arxiv: 1303.2037 · arxiv_version: 1303.2037v1 · doi: 10.48550/arxiv.1303.2037 · pith_short_12: U3HPKRFADT6F · pith_short_16: U3HPKRFADT6FVS2N · pith_short_8: U3HPKRFA

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/U3HPKRFADT6FVS2NBM7TQZSZ55 \
  | 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: a6cef544a01cfc5acb4d0b3f386659ef4972c4709b1765ab26f0dcdde01dabd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7982cecd56b4284f93522c281d7c3602bcb5407ae11ee66ae1b7997bd37d42fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-08T16:03:40Z",
    "title_canon_sha256": "5932a4f8392032702e4eeb8cf43e7855545d349175726c52261ffcbcdb83d31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2037",
    "kind": "arxiv",
    "version": 1
  }
}