Pith Number

pith:M33E3LEE

pith:2006:M33E3LEECEXT3ZMGAQWHE3U4L3

not attested not anchored not stored refs pending

Coherent state quantization and phase operator

Jean-Pierre Gazeau, Pedro L. Garc\'ia de Le\'on

arxiv:quant-ph/0605119 v2 · 2006-05-13 · 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{M33E3LEECEXT3ZMGAQWHE3U4L3}

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	2026-05-18T01:08:45.507944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f64dac84112f3de586042c726e9c5efa2405fb58e7809abccfc529c27dd0b6

Aliases

arxiv: quant-ph/0605119 · arxiv_version: quant-ph/0605119v2 · doi: 10.48550/arxiv.quant-ph/0605119 · pith_short_12: M33E3LEECEXT · pith_short_16: M33E3LEECEXT3ZMG · pith_short_8: M33E3LEE

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/M33E3LEECEXT3ZMGAQWHE3U4L3 \
  | 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: 66f64dac84112f3de586042c726e9c5efa2405fb58e7809abccfc529c27dd0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a006cdbc56cc9c91edde1d82a4ba7bd7bcb7f3b4b6593af4b458b2a4e802011b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-05-13T20:35:34Z",
    "title_canon_sha256": "45777a937e94567ce121a314f871723382f5751e748a647613d4122317e41dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0605119",
    "kind": "arxiv",
    "version": 2
  }
}