Pith Number

pith:LOYDRH5B

pith:2025:LOYDRH5BTZQ4L45FPDLICHV5EU

not attested not anchored not stored refs pending

On plane cycles in geometric multipartite graphs

Alexandra Weinberger, Andr\'e Schulz, Jonathan Rollin, Marco Ricci

arxiv:2506.20421 v1 · 2025-06-25 · cs.CG · 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{LOYDRH5BTZQ4L45FPDLICHV5EU}

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	2026-07-05T11:27:05.283761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb0389fa19e61c5f3a578d6811ebd253a23d5cf6136a5a8fa649e20bdf80897

Aliases

arxiv: 2506.20421 · arxiv_version: 2506.20421v1 · doi: 10.48550/arxiv.2506.20421 · pith_short_12: LOYDRH5BTZQ4 · pith_short_16: LOYDRH5BTZQ4L45F · pith_short_8: LOYDRH5B

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/LOYDRH5BTZQ4L45FPDLICHV5EU \
  | 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: 5bb0389fa19e61c5f3a578d6811ebd253a23d5cf6136a5a8fa649e20bdf80897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9de17eb50565c6c28dbcdb858a72ae9621e4ac2838d8d378b7c095aa3e910df",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-06-25T13:36:01Z",
    "title_canon_sha256": "482931f82846b19a1d97447ab4ec64d1c3999f43f8476b1b2b25f38033f6323a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20421",
    "kind": "arxiv",
    "version": 1
  }
}