Pith Number

pith:HAT32T25

pith:2012:HAT32T257QDVKQJILB73PLOIDI

not attested not anchored not stored refs pending

Can Selfish Groups be Self-Enforcing?

Augustin Chaintreau, Dorian Mazauric, Guillaume Ducoffe

arxiv:1212.3782 v4 · 2012-12-16 · cs.DM · cs.GT · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAT32T257QDVKQJILB73PLOIDI}

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	2026-05-18T02:59:18.687076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3827bd4f5dfc07554128587fb7adc81a15d18206d713f7d26a3487c0efff89e6

Aliases

arxiv: 1212.3782 · arxiv_version: 1212.3782v4 · doi: 10.48550/arxiv.1212.3782 · pith_short_12: HAT32T257QDV · pith_short_16: HAT32T257QDVKQJI · pith_short_8: HAT32T25

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/HAT32T257QDVKQJILB73PLOIDI \
  | 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: 3827bd4f5dfc07554128587fb7adc81a15d18206d713f7d26a3487c0efff89e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0793a558b0e1b588c63a97376afa36a3444914470cafe803846a419d615da1a9",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-12-16T12:09:47Z",
    "title_canon_sha256": "0934075b336828e4d8d88a5c11cbc07cd606f9390ed0ac3c634844312e8d1f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3782",
    "kind": "arxiv",
    "version": 4
  }
}