Pith Number

pith:B23T54JT

pith:2010:B23T54JTXETIDYNUIAKPXMS2ZF

not attested not anchored not stored refs pending

Exact spectrum for quantum oscillator in spaces of constant curvature from WKB-quantization

E.M. Ovsiyuk, V.M. Red'kov

arxiv:1007.4326 v1 · 2010-07-25 · 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{B23T54JTXETIDYNUIAKPXMS2ZF}

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	2026-05-18T04:12:00.786416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb73ef133b92681e1b44014fbb25ac949944287c8126132de206b90e39fb4f6

Aliases

arxiv: 1007.4326 · arxiv_version: 1007.4326v1 · doi: 10.48550/arxiv.1007.4326 · pith_short_12: B23T54JTXETI · pith_short_16: B23T54JTXETIDYNU · pith_short_8: B23T54JT

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/B23T54JTXETIDYNUIAKPXMS2ZF \
  | 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: 0eb73ef133b92681e1b44014fbb25ac949944287c8126132de206b90e39fb4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279cf4d7f463eef0d24b88d2c9546c930c457fb68243dfcfe51d6b7469a44f90",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-25T15:30:06Z",
    "title_canon_sha256": "0d3262a74d563ad7057c0c68f61ab1d8357cdb49f11eb429e35383107d4aa9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4326",
    "kind": "arxiv",
    "version": 1
  }
}