Pith Number

pith:4OCCIBLM

pith:2002:4OCCIBLME7GTEZ34AFN7LQETVZ

not attested not anchored not stored refs pending

The Coulomb-Oscillator Relation on n-Dimensional Spheres and Hyperboloids

E.G.Kalnins, G.S.Pogosyan, Jr., W.Miller

arxiv:math-ph/0210002 v1 · 2002-10-01 · math-ph · hep-th · math.MP · nlin.SI · 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{4OCCIBLME7GTEZ34AFN7LQETVZ}

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	2026-05-18T03:47:10.630782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38424056c27cd32677c015bf5c093ae407c31223436bf0b0cfc34dbc59cf811

Aliases

arxiv: math-ph/0210002 · arxiv_version: math-ph/0210002v1 · doi: 10.48550/arxiv.math-ph/0210002 · pith_short_12: 4OCCIBLME7GT · pith_short_16: 4OCCIBLME7GTEZ34 · pith_short_8: 4OCCIBLM

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/4OCCIBLME7GTEZ34AFN7LQETVZ \
  | 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: e38424056c27cd32677c015bf5c093ae407c31223436bf0b0cfc34dbc59cf811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3bd231885864af5f154ef95b08a79c057b736a514fd3aa391c8745e995efa0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-10-01T08:20:12Z",
    "title_canon_sha256": "6c2c7ce8d8121351cdf6cb0602619e6bee4f7e020380de469aa0f04ec27d67e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0210002",
    "kind": "arxiv",
    "version": 1
  }
}