Pith Number

pith:3PJMMUTY

pith:2014:3PJMMUTY7MG7RMSOFYRQYP27ZH

not attested not anchored not stored refs pending

Efficient winning strategies in random-turn Maker-Breaker games

Asaf Ferber, Gal Kronenberg, Michael Krivelevich

arxiv:1408.5684 v1 · 2014-08-25 · 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{3PJMMUTY7MG7RMSOFYRQYP27ZH}

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	2026-05-18T02:44:24.492924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd2c65278fb0df8b24e2e230c3f5fc9dce3b3fe3ac2c2e2d100c729d46412c9

Aliases

arxiv: 1408.5684 · arxiv_version: 1408.5684v1 · doi: 10.48550/arxiv.1408.5684 · pith_short_12: 3PJMMUTY7MG7 · pith_short_16: 3PJMMUTY7MG7RMSO · pith_short_8: 3PJMMUTY

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/3PJMMUTY7MG7RMSOFYRQYP27ZH \
  | 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: dbd2c65278fb0df8b24e2e230c3f5fc9dce3b3fe3ac2c2e2d100c729d46412c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb5ec76e2c01ff8ecf07102cf50d19a0546e85cb251c0b52f129c9fe73b2431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T08:56:19Z",
    "title_canon_sha256": "93ee42b8c2c044e31d5f925634b63442dbe02fef9cd6f9d342cd2f27779a1aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5684",
    "kind": "arxiv",
    "version": 1
  }
}