Pith Number

pith:4EXAGH5S

pith:2012:4EXAGH5SVWOYYMCCWLPRF5ESGD

not attested not anchored not stored refs pending

Rainbow domination in the lexicographic product of graphs

Aleksandra Tepeh, Douglas F. Rall, Tadeja Kraner Sumenjak

arxiv:1210.0514 v2 · 2012-10-01 · 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{4EXAGH5SVWOYYMCCWLPRF5ESGD}

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	2026-05-18T03:31:06.591554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12e031fb2ad9d8c3042b2df12f49230ca2b3af33d394984e5ad824ff55eb791

Aliases

arxiv: 1210.0514 · arxiv_version: 1210.0514v2 · doi: 10.48550/arxiv.1210.0514 · pith_short_12: 4EXAGH5SVWOY · pith_short_16: 4EXAGH5SVWOYYMCC · pith_short_8: 4EXAGH5S

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/4EXAGH5SVWOYYMCCWLPRF5ESGD \
  | 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: e12e031fb2ad9d8c3042b2df12f49230ca2b3af33d394984e5ad824ff55eb791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e7bf41692b53a0748d0d1228a37bb52f13606564e22c1775cad8526310e00f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-01T19:23:28Z",
    "title_canon_sha256": "5cbc9998aadf15ec532b64d47bb45b5a746e6e062e3a29849b918b85ec1f4f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0514",
    "kind": "arxiv",
    "version": 2
  }
}