Pith Number

pith:VOPRQB42

pith:1997:VOPRQB42SYJ4KSI5STZ45YNWYL

not attested not anchored not stored refs pending

On a Generalized Oscillator: Invariance Algebra and Interbasis Expansions

A.N. Sissakian, G.S. Pogosyan, M. Kibler, Y.M. Hakobyan

arxiv:quant-ph/9712014 v1 · 1997-12-05 · quant-ph · math-ph · math.MP · physics.atm-clus · physics.atom-ph · physics.chem-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{VOPRQB42SYJ4KSI5STZ45YNWYL}

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	2026-05-18T04:24:14.444286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9f18079a9613c5491d94f3cee1b6c2c7360c42a9c68600a2997595d9f10925

Aliases

arxiv: quant-ph/9712014 · arxiv_version: quant-ph/9712014v1 · doi: 10.48550/arxiv.quant-ph/9712014 · pith_short_12: VOPRQB42SYJ4 · pith_short_16: VOPRQB42SYJ4KSI5 · pith_short_8: VOPRQB42

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/VOPRQB42SYJ4KSI5STZ45YNWYL \
  | 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: ab9f18079a9613c5491d94f3cee1b6c2c7360c42a9c68600a2997595d9f10925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daf03a28b61001ed78dcc93a326f1bc647009181a5d3374ff6c88066f088897",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atm-clus",
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-12-05T15:28:10Z",
    "title_canon_sha256": "285d9640a5252a16e3632bab32e6fe73aba195df36ee787133bbf5abe6a180c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9712014",
    "kind": "arxiv",
    "version": 1
  }
}