Pith Number

pith:KHMZXFZB

pith:2015:KHMZXFZBGFKKRWO65FWWQ2AUSU

not attested not anchored not stored refs pending

Random-Player Maker-Breaker games

Gal Kronenberg, Michael Krivelevich

arxiv:1502.00445 v3 · 2015-02-02 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHMZXFZBGFKKRWO65FWWQ2AUSU}

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	2026-05-18T01:19:12.412371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d99b97213154a8d9dee96d686814952641d8e5f3be90ef3e37d39cd443e461

Aliases

arxiv: 1502.00445 · arxiv_version: 1502.00445v3 · doi: 10.48550/arxiv.1502.00445 · pith_short_12: KHMZXFZBGFKK · pith_short_16: KHMZXFZBGFKKRWO6 · pith_short_8: KHMZXFZB

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/KHMZXFZBGFKKRWO65FWWQ2AUSU \
  | 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: 51d99b97213154a8d9dee96d686814952641d8e5f3be90ef3e37d39cd443e461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11c65cf34794ccf6a7939c9bc7f884216265c4d1d0a0acf6c202913ec761459",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-02T11:57:07Z",
    "title_canon_sha256": "b9a59a541ad9eff2b4a5b55d6d8ba00161ca9bc3cb1b0fa1f99876d6bdfed9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00445",
    "kind": "arxiv",
    "version": 3
  }
}