Pith Number

pith:YHECHQEJ

pith:2010:YHECHQEJWJH7AAD3LN32S23MG3

not attested not anchored not stored refs pending

Hitting time results for Maker-Breaker games

Asaf Ferber, Dan Hefetz, Michael Krivelevich, Sonny Ben-Shimon

arxiv:1008.1865 v1 · 2010-08-11 · math.CO · cs.DM · 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{YHECHQEJWJH7AAD3LN32S23MG3}

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	2026-05-18T03:03:21.620040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c823c089b24ff0007b5b77a96b6c36f722952586f32e7ec541935e8cfe238f

Aliases

arxiv: 1008.1865 · arxiv_version: 1008.1865v1 · doi: 10.48550/arxiv.1008.1865 · pith_short_12: YHECHQEJWJH7 · pith_short_16: YHECHQEJWJH7AAD3 · pith_short_8: YHECHQEJ

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/YHECHQEJWJH7AAD3LN32S23MG3 \
  | 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: c1c823c089b24ff0007b5b77a96b6c36f722952586f32e7ec541935e8cfe238f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e906b1bd2b7b12a573a8a0cde9290bde725a1b11793b2a53cbe88c7dfd11f05d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-11T09:29:38Z",
    "title_canon_sha256": "dc7dd7dba944c009017b9647bc9fa490e6a8ed27f16bc4ee6bd9a1482149aa8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1865",
    "kind": "arxiv",
    "version": 1
  }
}