Pith Number

pith:WFFSQUAU

pith:2004:WFFSQUAU572YW6WEZX532LVXIO

not attested not anchored not stored refs pending

Wigner-Weyl isomorphism for quantum mechanics on Lie groups

Alessandro Zampini, G. Marmo, N. Mukunda, R.Simon, S. Chaturvedi

arxiv:quant-ph/0407257 v2 · 2004-07-30 · 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{WFFSQUAU572YW6WEZX532LVXIO}

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	2026-07-04T16:50:22.312894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14b285014eff58b7ac4cdfbbd2eb743b8586badeae4df29aaf2262e34806be7

Aliases

arxiv: quant-ph/0407257 · arxiv_version: quant-ph/0407257v2 · doi: 10.48550/arxiv.quant-ph/0407257 · pith_short_12: WFFSQUAU572Y · pith_short_16: WFFSQUAU572YW6WE · pith_short_8: WFFSQUAU

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/WFFSQUAU572YW6WEZX532LVXIO \
  | 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: b14b285014eff58b7ac4cdfbbd2eb743b8586badeae4df29aaf2262e34806be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289efcccaf66dd97cb1b73daa1692fadfd7e9db671f3585bd590b27a97fb5a5a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-07-30T06:02:39Z",
    "title_canon_sha256": "6142c03f1841e11fa0cb3b76154e95be15b7abe1dc0c5775451cf2bca4f870fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0407257",
    "kind": "arxiv",
    "version": 2
  }
}