Pith Number

pith:BHNT765J

pith:2014:BHNT765JLVLXTJNM3MP4FU2ML3

not attested not anchored not stored refs pending

On the Complexity of the Mis\`ere Version of Three Games Played on Graphs

Gabriel Renault, Simon Schmidt

arxiv:1401.0400 v2 · 2014-01-02 · cs.DM · 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{BHNT765JLVLXTJNM3MP4FU2ML3}

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	2026-05-18T02:17:12.415728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09db3ffba95d5779a5acdb1fc2d34c5efee6029167883c2e115fd1bb422af4f1

Aliases

arxiv: 1401.0400 · arxiv_version: 1401.0400v2 · doi: 10.48550/arxiv.1401.0400 · pith_short_12: BHNT765JLVLX · pith_short_16: BHNT765JLVLXTJNM · pith_short_8: BHNT765J

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/BHNT765JLVLXTJNM3MP4FU2ML3 \
  | 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: 09db3ffba95d5779a5acdb1fc2d34c5efee6029167883c2e115fd1bb422af4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fab3951ade1ef8d3fe7cdce3eb6cfde75e75a2e3cf6313b775c494e94a7a387",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-02T09:43:40Z",
    "title_canon_sha256": "70d32269d5529bb63e5028f67416a2ab1c12d7edda7b3b8d670159a9e409344e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0400",
    "kind": "arxiv",
    "version": 2
  }
}