Pith Number

pith:3G4V2XKX

pith:2025:3G4V2XKXCZ6BZJB5C5TECCRBJG

not attested not anchored not stored refs pending

Evolutionary dynamics of continuous public goods games in structured populations

Attila Szolnoki, Duozi Lin, Jing Luo, Xiaojie Chen

arxiv:2504.06769 v1 · 2025-04-09 · physics.soc-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{3G4V2XKXCZ6BZJB5C5TECCRBJG}

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	2026-07-05T10:46:45.574767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b95d5d57167c1ca43d1766410a2149a1649a15dacb2c2c215afd6cb573bc7e

Aliases

arxiv: 2504.06769 · arxiv_version: 2504.06769v1 · doi: 10.48550/arxiv.2504.06769 · pith_short_12: 3G4V2XKXCZ6B · pith_short_16: 3G4V2XKXCZ6BZJB5 · pith_short_8: 3G4V2XKX

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/3G4V2XKXCZ6BZJB5C5TECCRBJG \
  | 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: d9b95d5d57167c1ca43d1766410a2149a1649a15dacb2c2c215afd6cb573bc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e44189c79cc2f5d8328a74e16fbe8e145045388764d3d2c2f545e3f5ed3c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-04-09T10:47:05Z",
    "title_canon_sha256": "f48ebaf820d3381160b9ba440cfe5ca0da896b07d17cf640f7d1c4afb1039897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06769",
    "kind": "arxiv",
    "version": 1
  }
}