Pith Number

pith:5JQE7KWS

pith:2018:5JQE7KWSU6ZIVPFN3BGEOZ47IX

not attested not anchored not stored refs pending

Example of a finite game with no Berge equilibria at all

Jaroslaw Pykacz, Pawel Bytner, Piotr Frackiewicz

arxiv:1807.05821 v1 · 2018-07-16 · 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{5JQE7KWSU6ZIVPFN3BGEOZ47IX}

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	2026-05-18T00:10:42.488179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea604faad2a7b28abcadd84c47679f45eda581fabd5770803d0917d14f815756

Aliases

arxiv: 1807.05821 · arxiv_version: 1807.05821v1 · doi: 10.48550/arxiv.1807.05821 · pith_short_12: 5JQE7KWSU6ZI · pith_short_16: 5JQE7KWSU6ZIVPFN · pith_short_8: 5JQE7KWS

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/5JQE7KWSU6ZIVPFN3BGEOZ47IX \
  | 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: ea604faad2a7b28abcadd84c47679f45eda581fabd5770803d0917d14f815756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f1f3610c5fdcc0ec6b0284757e89a60b7e39e4dc84fe40b5a0d3650fb553d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-07-16T12:35:45Z",
    "title_canon_sha256": "bedc07e7395b0a8aa7407add89653e0c1b146fe7704eec05c1f82439d1868ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05821",
    "kind": "arxiv",
    "version": 1
  }
}