Pith Number

pith:WMDG2CFH

pith:2009:WMDG2CFHAQVDVPYF54HHRQ3H56

not attested not anchored not stored refs pending

Moyal and tomographic probability representations for f-oscillator quantum states

Francesco Zaccaria, Giuseppe Marmo, Vladimir I. Man'ko

arxiv:0912.3424 v1 · 2009-12-17 · 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{WMDG2CFHAQVDVPYF54HHRQ3H56}

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	2026-05-18T02:10:15.972165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3066d08a7042a3abf05ef0e78c367ef8f0018de8b334c2895b8ad599d4d2957

Aliases

arxiv: 0912.3424 · arxiv_version: 0912.3424v1 · doi: 10.48550/arxiv.0912.3424 · pith_short_12: WMDG2CFHAQVD · pith_short_16: WMDG2CFHAQVDVPYF · pith_short_8: WMDG2CFH

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/WMDG2CFHAQVDVPYF54HHRQ3H56 \
  | 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: b3066d08a7042a3abf05ef0e78c367ef8f0018de8b334c2895b8ad599d4d2957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75a0e3a26590b2cc20d93c6f413bfd00ee7c97de94489a30cf1527a9c366da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-17T15:05:40Z",
    "title_canon_sha256": "05d1a3fbfafb8405f65f487a6717dbdbbd6ff5bd60845d870a10fba9f496834e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3424",
    "kind": "arxiv",
    "version": 1
  }
}