Pith Number

pith:EHJNPIC3

pith:2014:EHJNPIC3W46EIA3TYSKIKOJCIA

not attested not anchored not stored refs pending

An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates

C. Quesne

arxiv:1411.4853 v2 · 2014-11-18 · math-ph · math.MP · nlin.SI · physics.class-ph · 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{EHJNPIC3W46EIA3TYSKIKOJCIA}

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	2026-05-18T02:04:08.288521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d2d7a05bb73c440373c4948539224009b14326775facceab10c1e2503a2915

Aliases

arxiv: 1411.4853 · arxiv_version: 1411.4853v2 · doi: 10.48550/arxiv.1411.4853 · pith_short_12: EHJNPIC3W46E · pith_short_16: EHJNPIC3W46EIA3T · pith_short_8: EHJNPIC3

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/EHJNPIC3W46EIA3TYSKIKOJCIA \
  | 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: 21d2d7a05bb73c440373c4948539224009b14326775facceab10c1e2503a2915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e91d0024facb07c81dc263b1933db2586c1d1755cb163af40adf4629176fb1c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-18T14:48:06Z",
    "title_canon_sha256": "84c9a452a28054b51d6421fe042f90c28dcd157c3c4bf3a6ea0213d31cb023f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4853",
    "kind": "arxiv",
    "version": 2
  }
}