Pith Number

pith:64ORP4RZ

pith:2007:64ORP4RZ5AJL4NYRLUEJ3BC5TP

not attested not anchored not stored refs pending

A quantum exactly solvable non-linear oscillator related with the isotonic oscillator

A.M. Perelomov, J.F. Cari\~nena, M.F. Ra\~nada, M. Santander

arxiv:0711.4899 v1 · 2007-11-30 · 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{64ORP4RZ5AJL4NYRLUEJ3BC5TP}

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	2026-05-18T04:35:57.561974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71d17f239e812be37115d089d845d9bc8ccad839751e6eb7e9f052ea545c39a

Aliases

arxiv: 0711.4899 · arxiv_version: 0711.4899v1 · doi: 10.48550/arxiv.0711.4899 · pith_short_12: 64ORP4RZ5AJL · pith_short_16: 64ORP4RZ5AJL4NYR · pith_short_8: 64ORP4RZ

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/64ORP4RZ5AJL4NYRLUEJ3BC5TP \
  | 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: f71d17f239e812be37115d089d845d9bc8ccad839751e6eb7e9f052ea545c39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3285a0bf49998d28aa85715afb5c41fd910ff30738e8f414784e7ddf81e71ebd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-11-30T10:51:58Z",
    "title_canon_sha256": "1a646c1070f2248c5b06cb7d62f72bbc24a2edf01809118b88fa389adbc0db03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4899",
    "kind": "arxiv",
    "version": 1
  }
}