Pith Number

pith:HX3JXVHI

pith:2014:HX3JXVHIIEPHKMUKXHMWDISXPZ

not attested not anchored not stored refs pending

A four-person chess-like game without Nash equilibria in pure stationary strategies

Vladimir Gurvich, Vladimir Oudalov

arxiv:1411.0349 v1 · 2014-11-03 · math.CO · 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{HX3JXVHIIEPHKMUKXHMWDISXPZ}

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	2026-05-18T02:38:51.937574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df69bd4e8411e75328ab9d961a2577e7fca4f41b2347c01a878305d0ef8cc16

Aliases

arxiv: 1411.0349 · arxiv_version: 1411.0349v1 · doi: 10.48550/arxiv.1411.0349 · pith_short_12: HX3JXVHIIEPH · pith_short_16: HX3JXVHIIEPHKMUK · pith_short_8: HX3JXVHI

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/HX3JXVHIIEPHKMUKXHMWDISXPZ \
  | 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: 3df69bd4e8411e75328ab9d961a2577e7fca4f41b2347c01a878305d0ef8cc16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994b66162e6e31cfa5db34003fe8c92d4383d410d41df5841b86336a46214d75",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-03T03:07:33Z",
    "title_canon_sha256": "69f06d7948dfda0c0c73ecf18f41f148e482d3d5e7e5221090628e30e7a95d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0349",
    "kind": "arxiv",
    "version": 1
  }
}