pith. sign in
Pith Number

pith:DRYYTD76

pith:2012:DRYYTD7645G2FJQXJBK4UURKYS
not attested not anchored not stored refs pending

Punishment in Public Goods games leads to meta-stable phase transitions and hysteresis

Arend Hintze, Christoph Adami

arxiv:1210.5233 v4 · 2012-10-18 · q-bio.PE · nlin.AO · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DRYYTD7645G2FJQXJBK4UURKYS}

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 2026-05-18T01:55:43.487428Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c71898ffee74da2a6174855ca522ac489c8af04c0cf8886eb17d412ffdfb419

Aliases

arxiv: 1210.5233 · arxiv_version: 1210.5233v4 · doi: 10.48550/arxiv.1210.5233 · pith_short_12: DRYYTD7645G2 · pith_short_16: DRYYTD7645G2FJQX · pith_short_8: DRYYTD76
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DRYYTD7645G2FJQXJBK4UURKYS \
  | 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: 1c71898ffee74da2a6174855ca522ac489c8af04c0cf8886eb17d412ffdfb419
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e71cc7d0dddeeab6495fe0e0a9c945d7396a0a9d1489bbadb750e61291cbbf38",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-10-18T19:52:56Z",
    "title_canon_sha256": "764393ed04fba3c3b89bedc826fcab328b0bcc834a96055ae39efe470134b97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5233",
    "kind": "arxiv",
    "version": 4
  }
}