Pith Number

pith:Q4PU4RUM

pith:1993:Q4PU4RUM3WSN7TWWLWKT4GIZJ2

not attested not anchored not stored refs pending

The $q$-deformed Schr\"odinger Equation of the Harmonic Oscillator on the Quantum Euclidian Space

Satoshi Watamura, Ursula Carow-Watamura

arxiv:hep-th/9309160 v1 · 1993-10-01 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4PU4RUM3WSN7TWWLWKT4GIZJ2}

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	2026-05-18T04:17:35.639496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871f4e468cdda4dfced65d953e19194e98db6051fa7173dc497e2d56f17e3f2b

Aliases

arxiv: hep-th/9309160 · arxiv_version: hep-th/9309160v1 · doi: 10.48550/arxiv.hep-th/9309160 · pith_short_12: Q4PU4RUM3WSN · pith_short_16: Q4PU4RUM3WSN7TWW · pith_short_8: Q4PU4RUM

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/Q4PU4RUM3WSN7TWWLWKT4GIZJ2 \
  | 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: 871f4e468cdda4dfced65d953e19194e98db6051fa7173dc497e2d56f17e3f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558cfe8d082b10ac46955277a4a6017d601ba3818885aee6faea47d2ecc7f104",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-10-01T02:15:07Z",
    "title_canon_sha256": "68aac96f9b247c7b5c623684472f10df50a9d450dde9b3a7d46ff00e3238ab6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9309160",
    "kind": "arxiv",
    "version": 1
  }
}