Pith Number

pith:C6O7JCSF

pith:2026:C6O7JCSF2523B6ZMP3UP6DOXML

not attested not anchored not stored refs pending

The base size of vertex-transitive cubic graphs

Luca Sabatini, Marco Barbieri, Pablo Spiga

arxiv:2605.18293 v1 · 2026-05-18 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6O7JCSF2523B6ZMP3UP6DOXML}

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	2026-05-20T00:05:53.768210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179df48a45d775b0fb2c7ee8ff0dd762fc1ca97f39256331c65ffa661052e548

Aliases

arxiv: 2605.18293 · arxiv_version: 2605.18293v1 · doi: 10.48550/arxiv.2605.18293 · pith_short_12: C6O7JCSF2523 · pith_short_16: C6O7JCSF2523B6ZM · pith_short_8: C6O7JCSF

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/C6O7JCSF2523B6ZMP3UP6DOXML \
  | 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: 179df48a45d775b0fb2c7ee8ff0dd762fc1ca97f39256331c65ffa661052e548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b95dfc5fcdb12ad69b9b6facb343f4059f0d146e2e3be4ca9b96fad2012b5e1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T12:17:54Z",
    "title_canon_sha256": "df45512497273a9a98e8f4e827fb2a1c668ab0e09dd5960bdbb0ec51a6900f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18293",
    "kind": "arxiv",
    "version": 1
  }
}