Pith Number

pith:35HRBCRX

pith:2011:35HRBCRX24K4FZFUXXQSJD3773

not attested not anchored not stored refs pending

An explicit formula for obtaining $(q+1,8)$-cages and others small regular graphs of girth 8

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

arxiv:1111.3279 v1 · 2011-11-14 · 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{35HRBCRX24K4FZFUXXQSJD3773}

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	2026-05-18T04:08:22.648473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4f108a37d715c2e4b4bde1248f7ffed38b74aeb653a94771a07b23f9c3e239

Aliases

arxiv: 1111.3279 · arxiv_version: 1111.3279v1 · doi: 10.48550/arxiv.1111.3279 · pith_short_12: 35HRBCRX24K4 · pith_short_16: 35HRBCRX24K4FZFU · pith_short_8: 35HRBCRX

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/35HRBCRX24K4FZFUXXQSJD3773 \
  | 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: df4f108a37d715c2e4b4bde1248f7ffed38b74aeb653a94771a07b23f9c3e239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cdae4ab0493b3e328c4b6fd1d3e1cd00dfe11b53cc3a7efcc0491c5be424c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-14T16:52:06Z",
    "title_canon_sha256": "3594bd5339b8f4fafed7efbb342bc9f89ee59bc291e768ef015854335175f99d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3279",
    "kind": "arxiv",
    "version": 1
  }
}