Pith Number

pith:DQFPESFI

pith:2009:DQFPESFIYN3LVL3UGFC52HHMAP

not attested not anchored not stored refs pending

On the spectral characterization of entire operators with deficiency indices (1,1)

Julio H. Toloza, Luis O. Silva

arxiv:0909.0987 v4 · 2009-09-05 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQFPESFIYN3LVL3UGFC52HHMAP}

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	2026-07-04T17:20:09.946872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c0af248a8c376baaf743145dd1cec03de7579bf4bfc30ee7a7f2decbb8652bf

Aliases

arxiv: 0909.0987 · arxiv_version: 0909.0987v4 · doi: 10.48550/arxiv.0909.0987 · pith_short_12: DQFPESFIYN3L · pith_short_16: DQFPESFIYN3LVL3U · pith_short_8: DQFPESFI

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/DQFPESFIYN3LVL3UGFC52HHMAP \
  | 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: 1c0af248a8c376baaf743145dd1cec03de7579bf4bfc30ee7a7f2decbb8652bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd15c832ec63ebc1db548583e0d41dafd95d7e15d8b0f0de65ab6fab148bbf2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-05T01:13:52Z",
    "title_canon_sha256": "d0406037268c8ebd93be7da72cb414346f2ae2d6d0d0e0a147f006e6ee0ed891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0987",
    "kind": "arxiv",
    "version": 4
  }
}