Pith Number

pith:BGGPDAXI

pith:2013:BGGPDAXICJVJCMNA4SAKJBRRKB

not attested not anchored not stored refs pending

Rotational circulant graphs

Alison Thomson, Sanming Zhou

arxiv:1302.6652 v3 · 2013-02-27 · 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{BGGPDAXICJVJCMNA4SAKJBRRKB}

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	2026-05-18T00:04:47.839488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098cf182e8126a9131a0e480a48631504f9b1c44160c9acb0831d6fb3c5505d8

Aliases

arxiv: 1302.6652 · arxiv_version: 1302.6652v3 · doi: 10.48550/arxiv.1302.6652 · pith_short_12: BGGPDAXICJVJ · pith_short_16: BGGPDAXICJVJCMNA · pith_short_8: BGGPDAXI

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/BGGPDAXICJVJCMNA4SAKJBRRKB \
  | 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: 098cf182e8126a9131a0e480a48631504f9b1c44160c9acb0831d6fb3c5505d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f541f13efa3687ed3ca8440fe0c3b0aba694cb5f1c7f0ec33a4d987f68216e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-27T02:50:58Z",
    "title_canon_sha256": "65faf25f46414b915eb39b52537da9be452384521b6d6b685857b5ea62f815e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6652",
    "kind": "arxiv",
    "version": 3
  }
}