Pith Number

pith:RFY24PCJ

pith:2010:RFY24PCJGFV4ATIOYQ6WKLTYEG

not attested not anchored not stored refs pending

Self-adjoint extensions and spectral analysis in the generalized Kratzer problem

B.L. Voronov, D.M. Gitman, I.V. Tyutin, M.C. Baldiotti

arxiv:1009.4903 v1 · 2010-09-24 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFY24PCJGFV4ATIOYQ6WKLTYEG}

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	2026-05-18T02:45:38.694305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8971ae3c49316bc04d0ec43d652e7821bc724ae45ee0e49e9b84dec0ada97186

Aliases

arxiv: 1009.4903 · arxiv_version: 1009.4903v1 · doi: 10.48550/arxiv.1009.4903 · pith_short_12: RFY24PCJGFV4 · pith_short_16: RFY24PCJGFV4ATIO · pith_short_8: RFY24PCJ

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/RFY24PCJGFV4ATIOYQ6WKLTYEG \
  | 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: 8971ae3c49316bc04d0ec43d652e7821bc724ae45ee0e49e9b84dec0ada97186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24a20ecef5151f883ac0bcda8ec8f95e091f2608ce3d29bab727088a33e83da",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-24T18:06:50Z",
    "title_canon_sha256": "a46685644540790928dcf5785fced31793498352b65f3d4b0d30563d4e40d6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4903",
    "kind": "arxiv",
    "version": 1
  }
}