Pith Number

pith:KJXH7EX6

pith:2024:KJXH7EX6ECR5JTDZMBPQC2BNME

not attested not anchored not stored refs pending

Spectral comparison results for Laplacians on discrete graphs

Christian Rose, Joachim Kerner, Patrizio Bifulco

arxiv:2412.15937 v2 · 2024-12-20 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJXH7EX6ECR5JTDZMBPQC2BNME}

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

Ambarzumian-type theorems for Hermitian matrices with applications

Receipt and verification

First computed	2026-07-05T09:57:24.498892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526e7f92fe20a3d4cc79605f01682d610db0655ca18130f35ba2070edfc77268

Aliases

arxiv: 2412.15937 · arxiv_version: 2412.15937v2 · doi: 10.48550/arxiv.2412.15937 · pith_short_12: KJXH7EX6ECR5 · pith_short_16: KJXH7EX6ECR5JTDZ · pith_short_8: KJXH7EX6

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/KJXH7EX6ECR5JTDZMBPQC2BNME \
  | 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: 526e7f92fe20a3d4cc79605f01682d610db0655ca18130f35ba2070edfc77268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bb2711806f8dcbab4af42e5edbf5592ace9e22ad5814326d8c32322ae7e948",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-20T14:31:43Z",
    "title_canon_sha256": "f8245046022f33b3c766c043511f1a924849238037211692a0ead39be57b9b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15937",
    "kind": "arxiv",
    "version": 2
  }
}