Pith Number

pith:2XD2FUZJ

pith:2017:2XD2FUZJJXYXGWKU6M6CUQYZZE

not attested not anchored not stored refs pending

A Local Prime Factor Decomposition Algorithm for Strong Product Graphs

Marc Hellmuth

arxiv:1705.03817 v1 · 2017-05-10 · 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{2XD2FUZJJXYXGWKU6M6CUQYZZE}

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	2026-05-18T00:44:42.997438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c7a2d3294df1735954f33c2a4319c9276f934ac2e1151449531d7725b6d791

Aliases

arxiv: 1705.03817 · arxiv_version: 1705.03817v1 · doi: 10.48550/arxiv.1705.03817 · pith_short_12: 2XD2FUZJJXYX · pith_short_16: 2XD2FUZJJXYXGWKU · pith_short_8: 2XD2FUZJ

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/2XD2FUZJJXYXGWKU6M6CUQYZZE \
  | 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: d5c7a2d3294df1735954f33c2a4319c9276f934ac2e1151449531d7725b6d791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "832468df34e50923d31f9ce2b371f4384c944dbcbfbeb8a7b3fa17932a924205",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-05-10T15:27:59Z",
    "title_canon_sha256": "0b06d59798fc258bf675563baa5d667d44186933ea3b08d3efb50fd3d4d770e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03817",
    "kind": "arxiv",
    "version": 1
  }
}