Pith Number

pith:GZYU3IHB

pith:2015:GZYU3IHBKWNZC6CDYQRYRB3NS5

not attested not anchored not stored refs pending

Co-Utility: Self-Enforcing Protocols without Coordination Mechanisms

Jordi Soria-Comas, Josep Domingo-Ferrer, Oana Ciobotaru

arxiv:1503.02563 v1 · 2015-03-09 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZYU3IHBKWNZC6CDYQRYRB3NS5}

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	2026-05-18T00:57:50.929027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36714da0e1559b917843c42388876d975259585b68302aad35f5b332339385d5

Aliases

arxiv: 1503.02563 · arxiv_version: 1503.02563v1 · doi: 10.48550/arxiv.1503.02563 · pith_short_12: GZYU3IHBKWNZ · pith_short_16: GZYU3IHBKWNZC6CD · pith_short_8: GZYU3IHB

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/GZYU3IHBKWNZC6CDYQRYRB3NS5 \
  | 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: 36714da0e1559b917843c42388876d975259585b68302aad35f5b332339385d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac1e8c9e9d10096e216fe8c8ed4b6d31221cd86370c5459fb7b8261b4fdd37f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-09T17:18:55Z",
    "title_canon_sha256": "67abe003331ba0d5990696c8881248a2cc333260d90e4923bc967d827f5fe8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02563",
    "kind": "arxiv",
    "version": 1
  }
}