Pith Number

pith:P2YIV2AB

pith:2010:P2YIV2AB2I6JTIJK6V7XHEOXUR

not attested not anchored not stored refs pending

Evolutionary game theory in growing populations

Anna Melbinger, Erwin Frey, Jonas Cremer

arxiv:1010.3845 v1 · 2010-10-19 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2YIV2AB2I6JTIJK6V7XHEOXUR}

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	2026-05-18T04:39:07.446796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb08ae801d23c99a12af57f7391d7a474ae7a23a655ed721b889eebbb6fb241

Aliases

arxiv: 1010.3845 · arxiv_version: 1010.3845v1 · doi: 10.48550/arxiv.1010.3845 · pith_short_12: P2YIV2AB2I6J · pith_short_16: P2YIV2AB2I6JTIJK · pith_short_8: P2YIV2AB

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/P2YIV2AB2I6JTIJK6V7XHEOXUR \
  | 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: 7eb08ae801d23c99a12af57f7391d7a474ae7a23a655ed721b889eebbb6fb241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73be409c9a23404cc1e67d05e5412de181fba5358dcafaca98430985c91f51fd",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2010-10-19T10:19:13Z",
    "title_canon_sha256": "ad34e5d9b4d0fb56486a4e92f549d2bf43c518dab10b30741f91c745fa84f289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3845",
    "kind": "arxiv",
    "version": 1
  }
}