Pith Number

pith:ZRH26FQB

pith:2025:ZRH26FQBCHBNJV2WETLDVI25GK

not attested not anchored not stored refs pending

Maker-Maker games of rank 4 are PSPACE-complete

Florian Galliot, Jonas S\'enizergues

arxiv:2504.14256 v1 · 2025-04-19 · cs.DM · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRH26FQBCHBNJV2WETLDVI25GK}

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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.

Cited by

1 paper in Pith

4-uniform Maker-Breaker and Maker-Maker games are PSPACE-complete

Receipt and verification

First computed	2026-07-05T10:51:40.718245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4faf160111c2d4d75624d63aa35d32a1eaa1116f0ea934621e92afc135c971

Aliases

arxiv: 2504.14256 · arxiv_version: 2504.14256v1 · doi: 10.48550/arxiv.2504.14256 · pith_short_12: ZRH26FQBCHBN · pith_short_16: ZRH26FQBCHBNJV2W · pith_short_8: ZRH26FQB

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/ZRH26FQBCHBNJV2WETLDVI25GK \
  | 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: cc4faf160111c2d4d75624d63aa35d32a1eaa1116f0ea934621e92afc135c971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49786a97a745b2a50c19fd31d0e7a66703cc7af8684b5f7349a1c7b0eeb4c773",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-04-19T10:20:40Z",
    "title_canon_sha256": "7d6966aab45fd8b3f039908da503c717d6193417dcaacf8d4f99573c0740c239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14256",
    "kind": "arxiv",
    "version": 1
  }
}