pith. sign in
Pith Number

pith:4HJGVPWB

pith:2012:4HJGVPWBD4XSYGHZT2CQX7BYZI
not attested not anchored not stored refs pending

Mixing times in evolutionary game dynamics

Andrew J. Black, Arne Traulsen, Tobias Galla

arxiv:1204.0608 v1 · 2012-04-03 · q-bio.PE · cond-mat.stat-mech · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4HJGVPWBD4XSYGHZT2CQX7BYZI}

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 2026-05-18T01:57:57.780728Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1d26abec11f2f2c18f99e850bfc38ca2bffb3b99db0ab2af7f14bb2f22c3c3d

Aliases

arxiv: 1204.0608 · arxiv_version: 1204.0608v1 · doi: 10.48550/arxiv.1204.0608 · pith_short_12: 4HJGVPWBD4XS · pith_short_16: 4HJGVPWBD4XSYGHZ · pith_short_8: 4HJGVPWB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HJGVPWBD4XSYGHZT2CQX7BYZI \
  | 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: e1d26abec11f2f2c18f99e850bfc38ca2bffb3b99db0ab2af7f14bb2f22c3c3d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e0d3d3807c1ddfc645fa5f5e849d2de52d9f7668e77aac024a01ead857aed0c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-04-03T07:04:54Z",
    "title_canon_sha256": "609af79e9599a4b61e1ace13b07385455fff9eb3788b9efd3855430dbd5b34f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0608",
    "kind": "arxiv",
    "version": 1
  }
}