Pith Number

pith:VX6K2XPJ

pith:2025:VX6K2XPJUSI3JX5DWXGEU5HMKD

not attested not anchored not stored refs pending

New small regular graphs of given girth: the cage problem and beyond

Geoffrey Exoo, Jan Goedgebeur, Jorik Jooken, Louis Stubbe, Tibo Van den Eede

arxiv:2511.07247 v2 · 2025-11-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX6K2XPJUSI3JX5DWXGEU5HMKD}

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.

Cited by

1 paper in Pith

A non-existence result for vertex-girth-regular graphs

Receipt and verification

First computed	2026-07-23T01:23:30.087158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfcad5de9a491b4dfa3b5cc4a74ec50d006a84b530094ad0d5c3e1fa04e591e

Aliases

arxiv: 2511.07247 · arxiv_version: 2511.07247v2 · doi: 10.48550/arxiv.2511.07247 · pith_short_12: VX6K2XPJUSI3 · pith_short_16: VX6K2XPJUSI3JX5D · pith_short_8: VX6K2XPJ

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/VX6K2XPJUSI3JX5DWXGEU5HMKD \
  | 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: adfcad5de9a491b4dfa3b5cc4a74ec50d006a84b530094ad0d5c3e1fa04e591e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d36363525c86318571122d05d05c4e29b58cee591fe74ad44c61090b8c8fef",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-11-10T16:00:38Z",
    "title_canon_sha256": "0c3b712a5c4bf58e7b9b6df4bea88810d9fc2d505ee8618d025b88ab9502cf81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.07247",
    "kind": "arxiv",
    "version": 2
  }
}