Pith Number

pith:6MORJQRF

pith:2011:6MORJQRF3QTWRG6VD423FTB6X2

not attested not anchored not stored refs pending

Invasion by rare mutants in a spatial two-type Fisher-Wright system with selection

Andreas Greven, Donald A. Dawson

arxiv:1104.0253 v1 · 2011-04-01 · 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{6MORJQRF3QTWRG6VD423FTB6X2}

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	2026-05-18T04:25:04.352725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f31d14c225dc27689bd51f35b2cc3ebeb191977d370098a53802d5b117df4c57

Aliases

arxiv: 1104.0253 · arxiv_version: 1104.0253v1 · doi: 10.48550/arxiv.1104.0253 · pith_short_12: 6MORJQRF3QTW · pith_short_16: 6MORJQRF3QTWRG6V · pith_short_8: 6MORJQRF

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/6MORJQRF3QTWRG6VD423FTB6X2 \
  | 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: f31d14c225dc27689bd51f35b2cc3ebeb191977d370098a53802d5b117df4c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c56d0a771201797a68caa3bd80127b3bc3ad9c359d9dd06a9295ce5e8a5dd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-01T20:41:12Z",
    "title_canon_sha256": "206d62f30da8968546762c590e4ed4c0a32b9b84b7d665e184170e181360705b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0253",
    "kind": "arxiv",
    "version": 1
  }
}