Pith Number

pith:QHQICJYK

pith:2012:QHQICJYKBGTQGX2Y6AYNBYVRXK

not attested not anchored not stored refs pending

Families of small regular graphs of girth 7

C. Balbuena, D. Labbate, G. Araujo-Pardo, J. Salas, M.Abreu

arxiv:1211.2672 v1 · 2012-11-12 · 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{QHQICJYKBGTQGX2Y6AYNBYVRXK}

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	2026-05-18T03:41:02.117251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e081270a09a7035f58f030d0e2b1ba835dc9b556f0af48a457ddb0318610c6

Aliases

arxiv: 1211.2672 · arxiv_version: 1211.2672v1 · doi: 10.48550/arxiv.1211.2672 · pith_short_12: QHQICJYKBGTQ · pith_short_16: QHQICJYKBGTQGX2Y · pith_short_8: QHQICJYK

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/QHQICJYKBGTQGX2Y6AYNBYVRXK \
  | 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: 81e081270a09a7035f58f030d0e2b1ba835dc9b556f0af48a457ddb0318610c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74a742caf1d01a259741ac66dc0978f7534b093bc08e119de6750bbca699a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-12T16:03:49Z",
    "title_canon_sha256": "1fd7ecc51093bda6f50b799c6a3453581d422f118ad53e6fb045283ff1bc8252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2672",
    "kind": "arxiv",
    "version": 1
  }
}