Pith Number

pith:4E3SOJ5E

pith:2018:4E3SOJ5ENRBWVRNCDTHU6LN56C

not attested not anchored not stored refs pending

Local interactions promote cooperation in cooperator-defector systems

Nicolas Lanchier

arxiv:1805.06421 v1 · 2018-05-16 · 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{4E3SOJ5ENRBWVRNCDTHU6LN56C}

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	2026-05-18T00:15:47.811925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1372727a46c436ac5a21ccf4f2dbdf091836873b66c8af10edd62269ea41974

Aliases

arxiv: 1805.06421 · arxiv_version: 1805.06421v1 · doi: 10.48550/arxiv.1805.06421 · pith_short_12: 4E3SOJ5ENRBW · pith_short_16: 4E3SOJ5ENRBWVRNC · pith_short_8: 4E3SOJ5E

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/4E3SOJ5ENRBWVRNCDTHU6LN56C \
  | 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: e1372727a46c436ac5a21ccf4f2dbdf091836873b66c8af10edd62269ea41974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b53241e314ce22324599a785cd1938d913b5bd135cc7a5822c3992585c931a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-16T16:49:59Z",
    "title_canon_sha256": "9e9132722268ff1b5226689a11516b66a7af65f7a8d7624bd56d3ac8dc7f3f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06421",
    "kind": "arxiv",
    "version": 1
  }
}