Pith Number

pith:PZNJM3TX

pith:2014:PZNJM3TX3E4ARG6NKLIHPNX67V

not attested not anchored not stored refs pending

On the Cartesian Skeleton and the Factorization of the Strong Product of Digraphs

Marc Hellmuth, Tilen Marc

arxiv:1401.4965 v1 · 2014-01-20 · 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{PZNJM3TX3E4ARG6NKLIHPNX67V}

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	2026-05-18T02:38:10.374290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5a966e77d938089bcd52d077b6fefd624e4e2c9f529f28336bb9dd6de80701

Aliases

arxiv: 1401.4965 · arxiv_version: 1401.4965v1 · doi: 10.48550/arxiv.1401.4965 · pith_short_12: PZNJM3TX3E4A · pith_short_16: PZNJM3TX3E4ARG6N · pith_short_8: PZNJM3TX

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/PZNJM3TX3E4ARG6NKLIHPNX67V \
  | 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: 7e5a966e77d938089bcd52d077b6fefd624e4e2c9f529f28336bb9dd6de80701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e769a174c780ea3dd652f6f82a21cc49b062fa7c09d99148895696031af43b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-20T16:16:13Z",
    "title_canon_sha256": "379bc4673a235a51393e3f2fd151f1c1f95d6dc220b1d335786c9cb9ae6f67b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4965",
    "kind": "arxiv",
    "version": 1
  }
}