Pith Number

pith:43P6NGOZ

pith:2019:43P6NGOZJI25QGTS74QFZLYPII

not attested not anchored not stored refs pending

Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian

Ahmad Khalkhuzhaev, Mardon Pardabaev, Shokhrukh Yu. Kholmatov

arxiv:1910.01369 v2 · 2019-10-03 · math.SP · math-ph · math.FA · 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{43P6NGOZJI25QGTS74QFZLYPII}

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 estimates for the poly-Laplace operator on lattice subgraphs

Receipt and verification

First computed	2026-07-05T00:20:20.679549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6dfe699d94a35d81a72ff205caf0f42358f6a8f7e1fd0ad5a7504382ef6b726

Aliases

arxiv: 1910.01369 · arxiv_version: 1910.01369v2 · doi: 10.48550/arxiv.1910.01369 · pith_short_12: 43P6NGOZJI25 · pith_short_16: 43P6NGOZJI25QGTS · pith_short_8: 43P6NGOZ

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/43P6NGOZJI25QGTS74QFZLYPII \
  | 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: e6dfe699d94a35d81a72ff205caf0f42358f6a8f7e1fd0ad5a7504382ef6b726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c15b23879d979fa1b784164f6a41c119545a21191c8c48c230ee4c2ae732d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-10-03T09:18:31Z",
    "title_canon_sha256": "cd1ab584042235a2bbda99806d0d346c36080f829377a2518d71812cb1f32a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01369",
    "kind": "arxiv",
    "version": 2
  }
}