Pith Number

pith:EXY6B7FH

pith:2018:EXY6B7FHYO2T6KE6SPJQE4RIF2

not attested not anchored not stored refs pending

Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for $3$- and $4$-valent graphs

Hisashi Naito, Tatsuya Tate, Toshiaki Omori

arxiv:1807.10891 v4 · 2018-07-28 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXY6B7FHYO2T6KE6SPJQE4RIF2}

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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	2026-05-17T23:41:25.044800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f1e0fca7c3b53f289e93d30272282ebc12a5d93b3eae98d153c5984b22aefb

Aliases

arxiv: 1807.10891 · arxiv_version: 1807.10891v4 · doi: 10.48550/arxiv.1807.10891 · pith_short_12: EXY6B7FHYO2T · pith_short_16: EXY6B7FHYO2T6KE6 · pith_short_8: EXY6B7FH

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/EXY6B7FHYO2T6KE6SPJQE4RIF2 \
  | 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: 25f1e0fca7c3b53f289e93d30272282ebc12a5d93b3eae98d153c5984b22aefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac65701897c04918e837525eaa52bface07f1edf98c927a567eed1ddd71927dc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-28T05:07:34Z",
    "title_canon_sha256": "481996b85433c999bca532a63d0e99433e410767fa1cc05e476047f5f8f88578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10891",
    "kind": "arxiv",
    "version": 4
  }
}