Pith Number

pith:JIJ3ZAGB

pith:2014:JIJ3ZAGBZIA2MMFAVZOM2TUSFT

not attested not anchored not stored refs pending

Block Circulant Graphs and the Graphs of Critical Pairs of a Crown

Bethany Kubik, Joseph M. Pedersen, Pamela E. Harris, Rebecca E. Garcia, Shannon Talbott

arxiv:1410.5087 v2 · 2014-10-19 · 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{JIJ3ZAGBZIA2MMFAVZOM2TUSFT}

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	2026-05-18T00:49:04.965895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a13bc80c1ca01a630a0ae5ccd4e922cdbfc1417626cae8ff66657a20eec0d7c

Aliases

arxiv: 1410.5087 · arxiv_version: 1410.5087v2 · doi: 10.48550/arxiv.1410.5087 · pith_short_12: JIJ3ZAGBZIA2 · pith_short_16: JIJ3ZAGBZIA2MMFA · pith_short_8: JIJ3ZAGB

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/JIJ3ZAGBZIA2MMFAVZOM2TUSFT \
  | 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: 4a13bc80c1ca01a630a0ae5ccd4e922cdbfc1417626cae8ff66657a20eec0d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1374830abd426c2bca0f3716e71760fc89708691d2188c808bde03c9c0b0ab89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-19T16:16:01Z",
    "title_canon_sha256": "a1de45d526dd7f2b6cc2b898ae7f2184d5f8beb210e719811562855a82a619e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5087",
    "kind": "arxiv",
    "version": 2
  }
}