Pith Number

pith:QD3UVUOK

pith:2015:QD3UVUOKQLY67L3PWTVQNRZ3K4

not attested not anchored not stored refs pending

Limit Cycles Sparked by Mutation in the Repeated Prisoner's Dilemma

Danielle F. P. Toupo, David G. Rand, Steven H. Strogatz

arxiv:1501.05715 v2 · 2015-01-23 · math.DS · 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{QD3UVUOKQLY67L3PWTVQNRZ3K4}

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	2026-05-18T01:41:09.113174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f74ad1ca82f1efaf6fb4eb06c73b5735166d869fa27a5bf2e8eb2c847377f7

Aliases

arxiv: 1501.05715 · arxiv_version: 1501.05715v2 · doi: 10.48550/arxiv.1501.05715 · pith_short_12: QD3UVUOKQLY6 · pith_short_16: QD3UVUOKQLY67L3P · pith_short_8: QD3UVUOK

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/QD3UVUOKQLY67L3PWTVQNRZ3K4 \
  | 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: 80f74ad1ca82f1efaf6fb4eb06c73b5735166d869fa27a5bf2e8eb2c847377f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661e85035bcf8256faafb7d180548216814909bcc8a57e0bc9f3a029c0856107",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-23T05:10:07Z",
    "title_canon_sha256": "d6b915029b1b9c05fa97cee2477846fd104eea36bb36815ef2015d116963fed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05715",
    "kind": "arxiv",
    "version": 2
  }
}