Pith Number

pith:A54KHPWR

pith:2013:A54KHPWRUFCUM7K2DMM4NXQZJF

not attested not anchored not stored refs pending

Nest graphs and minimal complete symmetry groups for magic Sudoku variants

Elizabeth Arnold, John Lorch, Laura Taalman, Rebecca Field, Stephen Lucas

arxiv:1302.5673 v1 · 2013-02-22 · 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{A54KHPWRUFCUM7K2DMM4NXQZJF}

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	2026-05-18T03:32:46.134772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0778a3bed1a145467d5a1b19c6de1949711ff8147cb62e1e9cef864cffed6ee8

Aliases

arxiv: 1302.5673 · arxiv_version: 1302.5673v1 · doi: 10.48550/arxiv.1302.5673 · pith_short_12: A54KHPWRUFCU · pith_short_16: A54KHPWRUFCUM7K2 · pith_short_8: A54KHPWR

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/A54KHPWRUFCUM7K2DMM4NXQZJF \
  | 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: 0778a3bed1a145467d5a1b19c6de1949711ff8147cb62e1e9cef864cffed6ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19502255c7bcd3512550c05575c352a8afd4b27331c20b0099f0b2d6ff059d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-22T18:50:00Z",
    "title_canon_sha256": "01fe3d2927a4b98dbe5d0667a3c3680568198d4528c54fe51b765f55deae0812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5673",
    "kind": "arxiv",
    "version": 1
  }
}