Pith Number

pith:2QZRPGGK

pith:2019:2QZRPGGKI4NB5S5W27LGPJ25Z7

not attested not anchored not stored refs pending

The regularity of some families of circulant graphs

Adam Van Tuyl, Miguel Eduardo Uribe-Paczka

arxiv:1906.06259 v1 · 2019-06-14 · math.AC · 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{2QZRPGGKI4NB5S5W27LGPJ25Z7}

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	2026-05-17T23:39:53.540826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4331798ca471a1ecbb6d7d667a75dcfdf8d485b8b9b17f69f3e4e5e03be9bc8

Aliases

arxiv: 1906.06259 · arxiv_version: 1906.06259v1 · doi: 10.48550/arxiv.1906.06259 · pith_short_12: 2QZRPGGKI4NB · pith_short_16: 2QZRPGGKI4NB5S5W · pith_short_8: 2QZRPGGK

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/2QZRPGGKI4NB5S5W27LGPJ25Z7 \
  | 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: d4331798ca471a1ecbb6d7d667a75dcfdf8d485b8b9b17f69f3e4e5e03be9bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4add14f369cc8e38ba315ec058e41c279eb1b3e8fc143472a29d582315570985",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-14T15:53:10Z",
    "title_canon_sha256": "3d9ef1e7a3fac8acb52872fc5efad018f86fd0d45e07e2c2f9edb6d9efa9ae6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06259",
    "kind": "arxiv",
    "version": 1
  }
}