Pith Number

pith:X4PD3NLE

pith:2004:X4PD3NLE7OGR46NHEM3HC7HRK6

not attested not anchored not stored refs pending

Explicit Form of the Evolution Operator of Tavis-Cummings Model : Three and Four Atoms Cases

Kazuyuki Fujii, Kyoko Higashida, Ryosuke Kato, Tatsuo Suzuki, Yukako Wada

arxiv:quant-ph/0409068 v1 · 2004-09-13 · quant-ph · cond-mat.other · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4PD3NLE7OGR46NHEM3HC7HRK6}

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	2026-05-18T01:37:58.359574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1e3db564fb8d1e79a72336717cf1579466f5812faef7cc207b6a941d88e5c2

Aliases

arxiv: quant-ph/0409068 · arxiv_version: quant-ph/0409068v1 · doi: 10.48550/arxiv.quant-ph/0409068 · pith_short_12: X4PD3NLE7OGR · pith_short_16: X4PD3NLE7OGR46NH · pith_short_8: X4PD3NLE

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/X4PD3NLE7OGR46NHEM3HC7HRK6 \
  | 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: bf1e3db564fb8d1e79a72336717cf1579466f5812faef7cc207b6a941d88e5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95099454bbaf26193c7edab8cc0c965fb5a2268d850595e6b300722dab5c538",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-13T00:44:24Z",
    "title_canon_sha256": "f2807d0c89b77ed50fa29da99dc28896ea45b15c74b1686e86c2caa29cae9928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409068",
    "kind": "arxiv",
    "version": 1
  }
}