Pith Number

pith:BDUBVFJH

pith:2010:BDUBVFJH44ZQZU7UOGPSARKMUJ

not attested not anchored not stored refs pending

Spectral uniqueness of radial semiclassical Schrodinger operators

Hamid Hezari, Ivan Ventura, Kiril Datchev

arxiv:1010.4835 v2 · 2010-10-23 · 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{BDUBVFJH44ZQZU7UOGPSARKMUJ}

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	2026-05-18T04:18:54.615711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e81a9527e7330cd3f4719f20454ca26380db34fe11ed5c1470d07bfc2d054e

Aliases

arxiv: 1010.4835 · arxiv_version: 1010.4835v2 · doi: 10.48550/arxiv.1010.4835 · pith_short_12: BDUBVFJH44ZQ · pith_short_16: BDUBVFJH44ZQZU7U · pith_short_8: BDUBVFJH

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/BDUBVFJH44ZQZU7UOGPSARKMUJ \
  | 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: 08e81a9527e7330cd3f4719f20454ca26380db34fe11ed5c1470d07bfc2d054e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53d2c22772a73e07d164c3048d40644cacc6899ebb2d7e07218af13497691d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-23T01:04:55Z",
    "title_canon_sha256": "2bfc2b2ca8a9dcec4b772d8ec4a4c8dc05851b5d0a48242933cdec60584bc410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4835",
    "kind": "arxiv",
    "version": 2
  }
}