Pith Number

pith:32PTV6CU

pith:2011:32PTV6CUPJLGY3THQPFN4A5U6P

not attested not anchored not stored refs pending

Finite oscillator models: the Hahn oscillator

E.I. Jafarov, J. Van der Jeugt, N.I. Stoilova

arxiv:1101.5310 v3 · 2011-01-27 · math-ph · hep-th · 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{32PTV6CUPJLGY3THQPFN4A5U6P}

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	2026-05-18T02:22:49.110083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9f3af8547a566c6e6783cade03b4f3ca3ea36c901bae042ac2ca4ea8a023c4

Aliases

arxiv: 1101.5310 · arxiv_version: 1101.5310v3 · doi: 10.48550/arxiv.1101.5310 · pith_short_12: 32PTV6CUPJLG · pith_short_16: 32PTV6CUPJLGY3TH · pith_short_8: 32PTV6CU

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/32PTV6CUPJLGY3THQPFN4A5U6P \
  | 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: de9f3af8547a566c6e6783cade03b4f3ca3ea36c901bae042ac2ca4ea8a023c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29cb7537edcc933a7b7ed65e2bc5b56abc13ac2ca46e708e47ab0642b402f3f5",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-27T15:23:31Z",
    "title_canon_sha256": "b84af622417b72e809e3e202dbe4bad98064fd4def4a3e6f48ddaeeeb5b079e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5310",
    "kind": "arxiv",
    "version": 3
  }
}