Pith Number

pith:RKVP732F

pith:2016:RKVP732FIV4BUSEOK5R56FGAKY

not attested not anchored not stored refs pending

A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions

Ari Laptev, Fritz Gesztesy, Marius Mitrea, Mark S. Ashbaugh, Selim Sukhtaiev

arxiv:1605.01170 v1 · 2016-05-04 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKVP732FIV4BUSEOK5R56FGAKY}

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	2026-05-18T01:15:37.619939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aaaffef4545781a488e5763df14c05626ba69fc2f32787b4f84bbfe5246c5b5

Aliases

arxiv: 1605.01170 · arxiv_version: 1605.01170v1 · doi: 10.48550/arxiv.1605.01170 · pith_short_12: RKVP732FIV4B · pith_short_16: RKVP732FIV4BUSEO · pith_short_8: RKVP732F

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/RKVP732FIV4BUSEOK5R56FGAKY \
  | 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: 8aaaffef4545781a488e5763df14c05626ba69fc2f32787b4f84bbfe5246c5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bece05cd2b328c6c922ab63bc665f870994cee473a73d1cf290b6a434f11d002",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-04T07:40:32Z",
    "title_canon_sha256": "2ac6003a0674f4a849ba0272b641a8e5f0699c5a650e50afe03cc135ba0a0b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01170",
    "kind": "arxiv",
    "version": 1
  }
}