Pith Number

pith:VSXWBJWI

pith:2013:VSXWBJWIQ5ME6C6MAXVIVHQFHN

not attested not anchored not stored refs pending

Ergodic Inequality of Three Population Genetic Models

Youzhou Zhou

arxiv:1307.0883 v2 · 2013-07-03 · 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{VSXWBJWIQ5ME6C6MAXVIVHQFHN}

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	2026-05-18T03:06:44.488629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acaf60a6c887584f0bcc05ea8a9e053b69f5c65f1c73f7d7402b5429f20a939b

Aliases

arxiv: 1307.0883 · arxiv_version: 1307.0883v2 · doi: 10.48550/arxiv.1307.0883 · pith_short_12: VSXWBJWIQ5ME · pith_short_16: VSXWBJWIQ5ME6C6M · pith_short_8: VSXWBJWI

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/VSXWBJWIQ5ME6C6MAXVIVHQFHN \
  | 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: acaf60a6c887584f0bcc05ea8a9e053b69f5c65f1c73f7d7402b5429f20a939b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a234e3086bfb3c4639a62d51a3314b9afba67c52b23cf44157fce4053f112e8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-03T00:00:50Z",
    "title_canon_sha256": "3042d18e2c7c3b7fc432ed844acb1eaac2ea6038780d5c962d9c9597db5378de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0883",
    "kind": "arxiv",
    "version": 2
  }
}