Pith Number

pith:V3BQMYY6

pith:2012:V3BQMYY67AAOF4UIABKHPVDRVG

not attested not anchored not stored refs pending

The no-three-in-line problem on a torus

Andrew Groot, Bart Snapp, Deven Pandya, Jim Fowler

arxiv:1203.6604 v1 · 2012-03-29 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3BQMYY67AAOF4UIABKHPVDRVG}

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.

Cited by

1 paper in Pith

No-three-in-line sets on the checkerboard grid

Receipt and verification

First computed	2026-05-18T03:59:02.071368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec306631ef800e2f288005477d471a997d85c998811254249369ab80df2e55e

Aliases

arxiv: 1203.6604 · arxiv_version: 1203.6604v1 · doi: 10.48550/arxiv.1203.6604 · pith_short_12: V3BQMYY67AAO · pith_short_16: V3BQMYY67AAOF4UI · pith_short_8: V3BQMYY6

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/V3BQMYY67AAOF4UIABKHPVDRVG \
  | 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: aec306631ef800e2f288005477d471a997d85c998811254249369ab80df2e55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b64f95b2ff46979e31565ac9a05f0e775934cc9c6cf6e71b22e198c479e7261",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-29T17:41:02Z",
    "title_canon_sha256": "2e4bcfb870c65733e908045c62030f61577660f264a64c7092e48588e89d1af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6604",
    "kind": "arxiv",
    "version": 1
  }
}