Pith Number

pith:CZAHIW2C

pith:2018:CZAHIW2CTQKZRAVNMYNRA4N35Y

not attested not anchored not stored refs pending

Best play in Dots and Boxes endgames

Daniel Allcock

arxiv:1811.10747 v2 · 2018-11-26 · 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{CZAHIW2CTQKZRAVNMYNRA4N35Y}

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	2026-05-17T23:40:34.031935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1640745b429c159882ad661b1071bbee1b7b8b88e7bc2038f8081777cec796d1

Aliases

arxiv: 1811.10747 · arxiv_version: 1811.10747v2 · doi: 10.48550/arxiv.1811.10747 · pith_short_12: CZAHIW2CTQKZ · pith_short_16: CZAHIW2CTQKZRAVN · pith_short_8: CZAHIW2C

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/CZAHIW2CTQKZRAVNMYNRA4N35Y \
  | 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: 1640745b429c159882ad661b1071bbee1b7b8b88e7bc2038f8081777cec796d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2d7da352554cd48e0579d362023712634dd1824166b1e681a89b4194f5f9a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-26T23:52:17Z",
    "title_canon_sha256": "829e6c47134b4677a830c2ef915265375b36aa02e04e4de8111f2d5bc8b9b799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10747",
    "kind": "arxiv",
    "version": 2
  }
}