Pith Number

pith:63TD2J5P

pith:2014:63TD2J5PIDFZ3OVCDSTOXA57HT

not attested not anchored not stored refs pending

A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets

Ari Laptev, Fritz Gesztesy, Marius Mitrea, Selim Sukhtaiev

arxiv:1403.3731 v4 · 2014-03-15 · math.SP · math-ph · math.AP · 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{63TD2J5PIDFZ3OVCDSTOXA57HT}

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.

Receipt and verification

First computed	2026-05-18T02:50:12.724096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e63d27af40cb9dbaa21ca6eb83bf3cc5838fd12451c82d69ef1202d305acd6

Aliases

arxiv: 1403.3731 · arxiv_version: 1403.3731v4 · doi: 10.48550/arxiv.1403.3731 · pith_short_12: 63TD2J5PIDFZ · pith_short_16: 63TD2J5PIDFZ3OVC · pith_short_8: 63TD2J5P

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/63TD2J5PIDFZ3OVCDSTOXA57HT \
  | 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: f6e63d27af40cb9dbaa21ca6eb83bf3cc5838fd12451c82d69ef1202d305acd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3a0351b443192ae4dc22192a576dc3dc64dd417f8caa854b537a68cd48f7d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-03-15T00:35:17Z",
    "title_canon_sha256": "96fe4cffa5aa21147d81ce884457f8c5bea2deff33e3f5ae29d5a486cdd54672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3731",
    "kind": "arxiv",
    "version": 4
  }
}