Pith Number

pith:ADCK42YY

pith:2008:ADCK42YYQFUFE7J54SRTENL65B

not attested not anchored not stored refs pending

Normal Forms for Semilinear Quantum Harmonic Oscillators

Benoit Grebert (LMJL), Eric Paturel (LMJL), Rafik Imekraz (LMJL)

arxiv:0808.0995 v3 · 2008-08-07 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADCK42YYQFUFE7J54SRTENL65B}

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	2026-05-18T02:15:43.814020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c4ae6b188168527d3de4a332357ee84b01c10a53e9894112fce7053a17407a

Aliases

arxiv: 0808.0995 · arxiv_version: 0808.0995v3 · doi: 10.48550/arxiv.0808.0995 · pith_short_12: ADCK42YYQFUF · pith_short_16: ADCK42YYQFUFE7J5 · pith_short_8: ADCK42YY

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/ADCK42YYQFUFE7J54SRTENL65B \
  | 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: 00c4ae6b188168527d3de4a332357ee84b01c10a53e9894112fce7053a17407a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec3513e6f92b953d946be81876b782257d45149d8ccd335f1d6f6fb801fac76",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-07T10:37:16Z",
    "title_canon_sha256": "b321f6f01f4fb93185f500045f3ea455ff4385143a6f6e90cbc0ea8f1ffd5feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0995",
    "kind": "arxiv",
    "version": 3
  }
}