Pith Number

pith:ID64CHUE

pith:2015:ID64CHUEKALOM6L2YDG4IWNF4K

not attested not anchored not stored refs pending

Smale Strategies for Network Prisoner's Dilemma Games

Kashi Behrstock, Michel Bena\"im, Morris W. Hirsch

arxiv:1503.08481 v1 · 2015-03-29 · math.OC · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID64CHUEKALOM6L2YDG4IWNF4K}

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	2026-05-18T01:17:33.186916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fdc11e845016e6797ac0cdc459a5e2b1f16c8664df2b15e573a9a138f9e45b

Aliases

arxiv: 1503.08481 · arxiv_version: 1503.08481v1 · doi: 10.48550/arxiv.1503.08481 · pith_short_12: ID64CHUEKALO · pith_short_16: ID64CHUEKALOM6L2 · pith_short_8: ID64CHUE

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/ID64CHUEKALOM6L2YDG4IWNF4K \
  | 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: 40fdc11e845016e6797ac0cdc459a5e2b1f16c8664df2b15e573a9a138f9e45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35405011eb19469986ea08f23dba32d6853e9d3829421045ef8f336e8dd9d711",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-29T19:10:46Z",
    "title_canon_sha256": "db6e5268cdc579298f81d2034e7bfc2450c5e4c1120832bbc8b14917498d59d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08481",
    "kind": "arxiv",
    "version": 1
  }
}