Pith Number

pith:YMPO7ANA

pith:2013:YMPO7ANA3ZNHXLYPHYLXVYVGE4

not attested not anchored not stored refs pending

Formal properties of the probability of fixation: identities, inequalities and approximations

Charles L. Epstein, David M. McCandlish, Joshua B. Plotkin

arxiv:1312.1673 v4 · 2013-12-05 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMPO7ANA3ZNHXLYPHYLXVYVGE4}

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	2026-05-18T02:25:26.682431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31eef81a0de5a7baf0f3e177ae2a6270b6ab8f197a9cd245fddbdbd5dfd94ff

Aliases

arxiv: 1312.1673 · arxiv_version: 1312.1673v4 · doi: 10.48550/arxiv.1312.1673 · pith_short_12: YMPO7ANA3ZNH · pith_short_16: YMPO7ANA3ZNHXLYP · pith_short_8: YMPO7ANA

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/YMPO7ANA3ZNHXLYPHYLXVYVGE4 \
  | 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: c31eef81a0de5a7baf0f3e177ae2a6270b6ab8f197a9cd245fddbdbd5dfd94ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc6b963e5921e93206e475c19a33db1d1bcea43abb8bdd0108ac15bb4173997",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-12-05T20:27:01Z",
    "title_canon_sha256": "b4e79e99ee4008228462027573eb710f1d7e363a6064e158bbf5841b76c385bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1673",
    "kind": "arxiv",
    "version": 4
  }
}