Pith Number

pith:RSBMMAU4

pith:2015:RSBMMAU4KFIRPDNEY64OOZKT7K

not attested not anchored not stored refs pending

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

C. Quesne

arxiv:1508.02221 v2 · 2015-08-10 · 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{RSBMMAU4KFIRPDNEY64OOZKT7K}

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	2026-05-18T01:20:45.534553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c82c6029c5151178da4c7b8e76553fa8516043e5c63b293cd68d6cdd483357a

Aliases

arxiv: 1508.02221 · arxiv_version: 1508.02221v2 · doi: 10.48550/arxiv.1508.02221 · pith_short_12: RSBMMAU4KFIR · pith_short_16: RSBMMAU4KFIRPDNE · pith_short_8: RSBMMAU4

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/RSBMMAU4KFIRPDNEY64OOZKT7K \
  | 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: 8c82c6029c5151178da4c7b8e76553fa8516043e5c63b293cd68d6cdd483357a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776df71c4adddc686d028fdca02364fb98dca6ce3ba23f15a3652611540bc841",
    "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": "2015-08-10T12:29:57Z",
    "title_canon_sha256": "4d896a2c4698b52ed04eaef5c96416e32a07ed695da53d0646e44acd3ff77587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02221",
    "kind": "arxiv",
    "version": 2
  }
}