Pith Number

pith:WZ32IHCI

pith:2004:WZ32IHCIFWW77PSVVFE4QWZL3M

not attested not anchored not stored refs pending

Trigonometric identities, angular Schr\"{o}dinger equations and a new family of solvable models

Euclides Augusto Luis, Frieder Kleefeld, Miloslav Znojil, Vit Jakubsky

arxiv:quant-ph/0410023 v2 · 2004-10-04 · 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{WZ32IHCIFWW77PSVVFE4QWZL3M}

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	2026-05-18T04:17:54.211010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b677a41c482dadffbe55a949c85b2bdb3d946fbb27e215089110c9b2b607fda4

Aliases

arxiv: quant-ph/0410023 · arxiv_version: quant-ph/0410023v2 · doi: 10.48550/arxiv.quant-ph/0410023 · pith_short_12: WZ32IHCIFWW7 · pith_short_16: WZ32IHCIFWW77PSV · pith_short_8: WZ32IHCI

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/WZ32IHCIFWW77PSVVFE4QWZL3M \
  | 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: b677a41c482dadffbe55a949c85b2bdb3d946fbb27e215089110c9b2b607fda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2884f7bdfd5cb521d7ad62c6f1f1ede40abb5629e6ea2331b2da5ea62079bbe1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-10-04T12:57:52Z",
    "title_canon_sha256": "b6ffe875c9c1c6931e5f5aba8f2de1ede6ade754d5de79fa32fd8d7e30a44b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0410023",
    "kind": "arxiv",
    "version": 2
  }
}