Pith Number

pith:2TUT3JXO

pith:2015:2TUT3JXOZDATEJLKQBUUY67CNR

not attested not anchored not stored refs pending

New families of small regular graphs of girth 5

C. Balbuena, E. Abajo, G. Araujo-Pardo, M. Bendala

arxiv:1508.01569 v1 · 2015-08-06 · 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{2TUT3JXOZDATEJLKQBUUY67CNR}

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	2026-05-18T01:35:39.368633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e93da6eec8c132256a80694c7be26c689fa282554959fa5a3a0a8d4cd59326

Aliases

arxiv: 1508.01569 · arxiv_version: 1508.01569v1 · doi: 10.48550/arxiv.1508.01569 · pith_short_12: 2TUT3JXOZDAT · pith_short_16: 2TUT3JXOZDATEJLK · pith_short_8: 2TUT3JXO

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/2TUT3JXOZDATEJLKQBUUY67CNR \
  | 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: d4e93da6eec8c132256a80694c7be26c689fa282554959fa5a3a0a8d4cd59326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bcc63a137bb4b209ce28df2e4bc74afb43f0718836674e052adedb2bf79390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-06T23:38:52Z",
    "title_canon_sha256": "f33d5e9e53227897d498548f8c42d349f5b604e05d7952e079f213671a38a688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01569",
    "kind": "arxiv",
    "version": 1
  }
}