Pith Number

pith:FHYJLQD6

pith:2023:FHYJLQD65BX44FTUSINXQPZ56Q

not attested not anchored not stored refs pending

Eigenvectors of graph Laplacians: a landscape

A. Knippel, J.-G. Caputo

arxiv:2301.08369 v1 · 2023-01-20 · math.SP · 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{FHYJLQD65BX44FTUSINXQPZ56Q}

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

Eigenvalue gaps of the Laplacian of random graphs

Receipt and verification

First computed	2026-07-05T05:34:35.424409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f095c07ee86fce1674921b783f3df40a6b486b86b81c65af80ee5acfcb5642

Aliases

arxiv: 2301.08369 · arxiv_version: 2301.08369v1 · doi: 10.48550/arxiv.2301.08369 · pith_short_12: FHYJLQD65BX4 · pith_short_16: FHYJLQD65BX44FTU · pith_short_8: FHYJLQD6

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/FHYJLQD65BX44FTUSINXQPZ56Q \
  | 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: 29f095c07ee86fce1674921b783f3df40a6b486b86b81c65af80ee5acfcb5642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9a158121b588b4d53f87c4b2088dfe0f0f8f2e4b966d27e9af3808e1c2f653",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-01-20T00:24:37Z",
    "title_canon_sha256": "6e547fc101df75c9dc1399615b444ee502cbf2d92e5fb22dd07202f90c4d074b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08369",
    "kind": "arxiv",
    "version": 1
  }
}