Pith Number

pith:DWY5BOOA

pith:2006:DWY5BOOAZPMRFOPWOGSALDC5WM

not attested not anchored not stored refs pending

Bopp operators and phase-space spin dynamics: Application to rotational quantum brownian motion

D. Zueco, Ivan Calvo

arxiv:quant-ph/0611194 v2 · 2006-11-20 · quant-ph · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWY5BOOAZPMRFOPWOGSALDC5WM}

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	2026-07-04T15:16:44.493554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db1d0b9c0cbd912b9f671a4058c5db328bdcc08ef5ef52f1c24aa45addc3111

Aliases

arxiv: quant-ph/0611194 · arxiv_version: quant-ph/0611194v2 · doi: 10.48550/arxiv.quant-ph/0611194 · pith_short_12: DWY5BOOAZPMR · pith_short_16: DWY5BOOAZPMRFOPW · pith_short_8: DWY5BOOA

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/DWY5BOOAZPMRFOPWOGSALDC5WM \
  | 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: 1db1d0b9c0cbd912b9f671a4058c5db328bdcc08ef5ef52f1c24aa45addc3111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4f07c4cdac0b079036b60664bb9e90e2868800e78e8c6d7cac28eb8dcacdaf",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-20T16:16:01Z",
    "title_canon_sha256": "bbea2647ec199da8a92dfc837eeb05e6e0c0771d719a6b67af868b92f3e84d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611194",
    "kind": "arxiv",
    "version": 2
  }
}