Pith Number

pith:QVBIFSRG

pith:2012:QVBIFSRGRKG3MBQJYGKPCKF4HM

not attested not anchored not stored refs pending

Isomorphic tetravalent cyclic Haar graphs

Istv\'an Kov\'acs, Sergio Hiroki Koike-Quintanar

arxiv:1212.3208 v1 · 2012-12-13 · 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{QVBIFSRGRKG3MBQJYGKPCKF4HM}

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	2026-05-18T03:38:33.540532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

854282ca268a8db60609c194f128bc3b1b3952a7d3e4af7f0502c628d7b9680c

Aliases

arxiv: 1212.3208 · arxiv_version: 1212.3208v1 · doi: 10.48550/arxiv.1212.3208 · pith_short_12: QVBIFSRGRKG3 · pith_short_16: QVBIFSRGRKG3MBQJ · pith_short_8: QVBIFSRG

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/QVBIFSRGRKG3MBQJYGKPCKF4HM \
  | 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: 854282ca268a8db60609c194f128bc3b1b3952a7d3e4af7f0502c628d7b9680c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab6441df2696683c3c805d42b57192849d66d6091447d859ca348afa741d520",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-13T16:21:00Z",
    "title_canon_sha256": "44482e1033e52e125bbef5db7bd0ee4be82b9ce646a8d46631f3b1aa8a0bf25f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3208",
    "kind": "arxiv",
    "version": 1
  }
}