Pith Number

pith:JLDYOZSI

pith:2013:JLDYOZSI2P6BAOLQBKQ4BDC6A2

not attested not anchored not stored refs pending

Strong Products of Hypergraphs: Unique Prime Factorization Theorems and Algorithms

Lydia Ostermeier, Manuel Noll, Marc Hellmuth

arxiv:1305.1824 v1 · 2013-05-08 · cs.DM · 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{JLDYOZSI2P6BAOLQBKQ4BDC6A2}

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	2026-05-18T02:28:48.287803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac7876648d3fc1039700aa1c08c5e06b3aa236c992d772921acc775f45a1261

Aliases

arxiv: 1305.1824 · arxiv_version: 1305.1824v1 · doi: 10.48550/arxiv.1305.1824 · pith_short_12: JLDYOZSI2P6B · pith_short_16: JLDYOZSI2P6BAOLQ · pith_short_8: JLDYOZSI

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/JLDYOZSI2P6BAOLQBKQ4BDC6A2 \
  | 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: 4ac7876648d3fc1039700aa1c08c5e06b3aa236c992d772921acc775f45a1261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522743ca22cb2200f3a63bdb8612930be7b14c6c24f6167431893eae73a40828",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-05-08T14:12:38Z",
    "title_canon_sha256": "cab9aa1b24dfe633a220a9e21c36493fd2831458dced96e1fa203fae9694469f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1824",
    "kind": "arxiv",
    "version": 1
  }
}