Pith Number

pith:KMLPS2C7

pith:2004:KMLPS2C7JJLMJCFIVRZEESQ4SN

not attested not anchored not stored refs pending

Finite dimensional quantizations of the (q,p) plane : new space and momentum inequalities

Fran\c{c}ois-Xavier Josse-Michaux (APC), Jean-Pierre Gazeau (APC), Pascal Monceau (MSC)

arxiv:quant-ph/0411210 v2 · 2004-11-30 · 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{KMLPS2C7JJLMJCFIVRZEESQ4SN}

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	2026-05-18T04:08:52.400264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5316f9685f4a56c488a8ac72424a1c9366d77fb63d32b2d7696f0eddc1f5167e

Aliases

arxiv: quant-ph/0411210 · arxiv_version: quant-ph/0411210v2 · doi: 10.48550/arxiv.quant-ph/0411210 · pith_short_12: KMLPS2C7JJLM · pith_short_16: KMLPS2C7JJLMJCFI · pith_short_8: KMLPS2C7

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/KMLPS2C7JJLMJCFIVRZEESQ4SN \
  | 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: 5316f9685f4a56c488a8ac72424a1c9366d77fb63d32b2d7696f0eddc1f5167e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff2330511ebc70a9d020f3035ceeca7ed9dccc9e6828c56bc11c905889b47cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-11-30T14:51:30Z",
    "title_canon_sha256": "a8b2579d458f1dd5ac48ccf45535a84c41f8b56b97092b385e63c0429503cd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0411210",
    "kind": "arxiv",
    "version": 2
  }
}