Pith Number

pith:FD4BOHEY

pith:2015:FD4BOHEYYLB2ZA4GVN45N4KKHX

not attested not anchored not stored refs pending

Fast Factorization of Cartesian products of Hypergraphs

Florian Lehner, Marc Hellmuth

arxiv:1508.07181 v1 · 2015-08-28 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD4BOHEYYLB2ZA4GVN45N4KKHX}

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	2026-05-18T01:34:36.665003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f8171c98c2c3ac8386ab79d6f14a3df3abf80847c28dbac342a30cf140720f

Aliases

arxiv: 1508.07181 · arxiv_version: 1508.07181v1 · doi: 10.48550/arxiv.1508.07181 · pith_short_12: FD4BOHEYYLB2 · pith_short_16: FD4BOHEYYLB2ZA4G · pith_short_8: FD4BOHEY

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/FD4BOHEYYLB2ZA4GVN45N4KKHX \
  | 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: 28f8171c98c2c3ac8386ab79d6f14a3df3abf80847c28dbac342a30cf140720f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4a3116b08d41b124af6c3076968ccd058d13299d27202a7979dfd743fd9e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-08-28T12:32:56Z",
    "title_canon_sha256": "e0d267d8afaff74abc91325fed9b24673ea09182f1ffe170ab39113858873808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07181",
    "kind": "arxiv",
    "version": 1
  }
}