Pith Number

pith:CFCEPLA6

pith:2012:CFCEPLA65LL4KZMG6GIXGRCM5V

not attested not anchored not stored refs pending

Martin Gardner's minimum no-3-in-a-line problem

Alec S. Cooper, Gregory S. Warrington, John R. Schmitt, Oleg Pikhurko

arxiv:1206.5350 v2 · 2012-06-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFCEPLA65LL4KZMG6GIXGRCM5V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:56:58.581879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114447ac1eead7c56586f19173444ced6029e498a240a232560983884584052e

Aliases

arxiv: 1206.5350 · arxiv_version: 1206.5350v2 · doi: 10.48550/arxiv.1206.5350 · pith_short_12: CFCEPLA65LL4 · pith_short_16: CFCEPLA65LL4KZMG · pith_short_8: CFCEPLA6

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/CFCEPLA65LL4KZMG6GIXGRCM5V \
  | 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: 114447ac1eead7c56586f19173444ced6029e498a240a232560983884584052e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be82a6b6189df7bbc737f3040e6ed3bcd2df4d8edcf8479949917d9de8de421f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-23T01:44:35Z",
    "title_canon_sha256": "c754f4a7d9f35fe8973c1801f7dc07c006b0ac0ec5a4feeb247466055f8fed30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5350",
    "kind": "arxiv",
    "version": 2
  }
}