Pith Number

pith:5PIP4JPK

pith:2015:5PIP4JPK3DVWUGX7G772JDVWSW

not attested not anchored not stored refs pending

The effect of recurrent mutations on genetic diversity in a large population of varying size

Charline Smadi

arxiv:1511.03538 v2 · 2015-11-11 · 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{5PIP4JPK3DVWUGX7G772JDVWSW}

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	2026-05-18T00:56:46.617369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd0fe25ead8eb6a1aff37ffa48eb695bac00ca9bc12f7cdfc9006f310208dac

Aliases

arxiv: 1511.03538 · arxiv_version: 1511.03538v2 · doi: 10.48550/arxiv.1511.03538 · pith_short_12: 5PIP4JPK3DVW · pith_short_16: 5PIP4JPK3DVWUGX7 · pith_short_8: 5PIP4JPK

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/5PIP4JPK3DVWUGX7G772JDVWSW \
  | 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: ebd0fe25ead8eb6a1aff37ffa48eb695bac00ca9bc12f7cdfc9006f310208dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e497d91bf29556cde8360a59f78a6266e55146cb897c02f3784d96d5c0d98e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-11T15:43:34Z",
    "title_canon_sha256": "69dcd5cda51173c34ad18ffb1449d7149a332f56deb150053050111eda74352e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03538",
    "kind": "arxiv",
    "version": 2
  }
}