Pith Number

pith:WQUDRZ7B

pith:2023:WQUDRZ7BBFLBS6SWF7HYBWRJQS

not attested not anchored not stored refs pending

Three counterexamples to a conjecture of Colin de Verdi\`ere on multiplicity

Bram Petri, \'Emile Gruda-Mediavilla, Mathieu Pineault, Maxime Fortier Bourque

arxiv:2312.03504 v2 · 2023-12-06 · math.SP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQUDRZ7BBFLBS6SWF7HYBWRJQS}

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

Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces

Receipt and verification

First computed	2026-06-19T16:10:27.746115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42838e7e10956197a562fcf80da298495e0b9636ec66609fa480a9498779530

Aliases

arxiv: 2312.03504 · arxiv_version: 2312.03504v2 · doi: 10.48550/arxiv.2312.03504 · pith_short_12: WQUDRZ7BBFLB · pith_short_16: WQUDRZ7BBFLBS6SW · pith_short_8: WQUDRZ7B

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/WQUDRZ7BBFLBS6SWF7HYBWRJQS \
  | 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: b42838e7e10956197a562fcf80da298495e0b9636ec66609fa480a9498779530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbb358319c775681181fbf5397ceb1c0642e3f18f110fce51577f7391a6b979",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-12-06T14:01:45Z",
    "title_canon_sha256": "3ff1ec7e9c6fb774b2885d7047edd7802b72df4febc6a1a5f3b4e88805d884fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.03504",
    "kind": "arxiv",
    "version": 2
  }
}