Pith Number

pith:XVNB7PNZ

pith:2013:XVNB7PNZKNTT2UTEAQPR37R6YD

not attested not anchored not stored refs pending

Learning Equilibria of Games via Payoff Queries

John Fearnley, Martin Gairing, Paul Goldberg, Rahul Savani

arxiv:1302.3116 v4 · 2013-02-13 · 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{XVNB7PNZKNTT2UTEAQPR37R6YD}

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	2026-05-18T02:59:18.635047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5a1fbdb953673d5264041f1dfe3ec0dca89bee3693a5a1a9de6f32670a10b1

Aliases

arxiv: 1302.3116 · arxiv_version: 1302.3116v4 · doi: 10.48550/arxiv.1302.3116 · pith_short_12: XVNB7PNZKNTT · pith_short_16: XVNB7PNZKNTT2UTE · pith_short_8: XVNB7PNZ

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/XVNB7PNZKNTT2UTEAQPR37R6YD \
  | 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: bd5a1fbdb953673d5264041f1dfe3ec0dca89bee3693a5a1a9de6f32670a10b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7be42b48e294aa474c1deda0e0731f1ca84d927b7219285c9a495629e2b4329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-02-13T14:29:13Z",
    "title_canon_sha256": "85eaac528b68ee24c9daa71bbed778ca697ba5a22f2fe9f334198b749811d546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3116",
    "kind": "arxiv",
    "version": 4
  }
}