Pith Number

pith:F6UDYMZA

pith:2013:F6UDYMZAZJTC4OB6HZC74EP5WD

not attested not anchored not stored refs pending

Domination Polynomials of Graph Products

James Preen, Peter Tittmann, Tomer Kotek

arxiv:1305.1475 v2 · 2013-05-07 · 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{F6UDYMZAZJTC4OB6HZC74EP5WD}

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	2026-05-18T03:03:56.797596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa83c3320ca662e383e3e45fe11fdb0da477b852fe2b410b4d8ea7f0c76f662

Aliases

arxiv: 1305.1475 · arxiv_version: 1305.1475v2 · doi: 10.48550/arxiv.1305.1475 · pith_short_12: F6UDYMZAZJTC · pith_short_16: F6UDYMZAZJTC4OB6 · pith_short_8: F6UDYMZA

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/F6UDYMZAZJTC4OB6HZC74EP5WD \
  | 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: 2fa83c3320ca662e383e3e45fe11fdb0da477b852fe2b410b4d8ea7f0c76f662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9f150b8faa6bce737585fb3ee3d7934eecb03a33ea12599c94c63699485ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-07T11:41:20Z",
    "title_canon_sha256": "4eac6f1319174640e9c859a08a4f70040455fbb02a9fe1fc2ffc19cac446d10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1475",
    "kind": "arxiv",
    "version": 2
  }
}