Pith Number

pith:3DQQQM4D

pith:2011:3DQQQM4DFBCI3F5UGLIANTCPSC

not attested not anchored not stored refs pending

An analogue of Ryser's Theorem for partial Sudoku squares

A. J. W. Hilton, E. R. Vaughan, P. J. Cameron

arxiv:1107.2634 v2 · 2011-07-13 · 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{3DQQQM4DFBCI3F5UGLIANTCPSC}

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	2026-05-18T04:18:15.886190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e108338328448d97b432d006cc4f909212795ad0d27a309c48db86316a7b73

Aliases

arxiv: 1107.2634 · arxiv_version: 1107.2634v2 · doi: 10.48550/arxiv.1107.2634 · pith_short_12: 3DQQQM4DFBCI · pith_short_16: 3DQQQM4DFBCI3F5U · pith_short_8: 3DQQQM4D

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/3DQQQM4DFBCI3F5UGLIANTCPSC \
  | 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: d8e108338328448d97b432d006cc4f909212795ad0d27a309c48db86316a7b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e4889e165287d0ef8521d0f8082116b92bbcb9be4341973e3d3f84e8227129",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-13T19:24:14Z",
    "title_canon_sha256": "de64f3a9212835ceca685e928df0332302f26e065c6762f31519747af452259a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2634",
    "kind": "arxiv",
    "version": 2
  }
}