Pith Number

pith:D643JPY6

pith:2002:D643JPY6Y6HF34XXOMK3MZXHCH

not attested not anchored not stored refs pending

Amplitude and phase representation of quantum invariants for the time dependent harmonic oscillator

H. Moya-Cessa, M. Fernandez Guasti

arxiv:quant-ph/0212073 v1 · 2002-12-12 · 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{D643JPY6Y6HF34XXOMK3MZXHCH}

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	2026-05-18T03:31:07.334341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb9b4bf1ec78e5df2f77315b666e711c845c7e0d2709e1b62ac0fa316fc4617

Aliases

arxiv: quant-ph/0212073 · arxiv_version: quant-ph/0212073v1 · doi: 10.48550/arxiv.quant-ph/0212073 · pith_short_12: D643JPY6Y6HF · pith_short_16: D643JPY6Y6HF34XX · pith_short_8: D643JPY6

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/D643JPY6Y6HF34XXOMK3MZXHCH \
  | 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: 1fb9b4bf1ec78e5df2f77315b666e711c845c7e0d2709e1b62ac0fa316fc4617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4002d2f1c5ff52ea15dfba266524a25fce187d21ad1802a99e3577bc944f2b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-12-12T02:17:38Z",
    "title_canon_sha256": "9da1d9c5cf7759ee18fb3341db3942ff08b5a398fbbd0879bc11d5dd68628010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0212073",
    "kind": "arxiv",
    "version": 1
  }
}