Pith Number

pith:KERIGXEM

pith:2014:KERIGXEMXABRD2TR4V4VKVU3E3

not attested not anchored not stored refs pending

The Cartesian product of graphs with loops

Christiaan E. van de Woestijne, Florian Lehner, Johannes Cuno, Tetiana Boiko, Wilfried Imrich

arxiv:1411.6887 v1 · 2014-11-25 · 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{KERIGXEMXABRD2TR4V4VKVU3E3}

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	2026-05-18T02:32:47.070782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5122835c8cb80311ea71e57955569b26ffc186947d3e883d7cef018d8a061481

Aliases

arxiv: 1411.6887 · arxiv_version: 1411.6887v1 · doi: 10.48550/arxiv.1411.6887 · pith_short_12: KERIGXEMXABR · pith_short_16: KERIGXEMXABRD2TR · pith_short_8: KERIGXEM

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/KERIGXEMXABRD2TR4V4VKVU3E3 \
  | 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: 5122835c8cb80311ea71e57955569b26ffc186947d3e883d7cef018d8a061481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c426244ee5a84615484ad6958540f65b24b35f5ad8f326472e1542ae93b33b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-25T14:54:31Z",
    "title_canon_sha256": "50ef230ebb4b0349c814265fe3badad7bf4471dd088f9a991e4b122501cac3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6887",
    "kind": "arxiv",
    "version": 1
  }
}