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Pith Number

pith:HHCK5MW5

pith:2002:HHCK5MW5MIVWKNFROCV32DA4SZ
not attested not anchored not stored refs pending

Statistics of dressed modes in a thermal state

Berthold-Georg Englert, Mark D. Pilloff, Stephen A. Fulling

arxiv:quant-ph/0205023 v1 · 2002-05-05 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HHCK5MW5MIVWKNFROCV32DA4SZ}

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 2026-05-18T01:38:01.930849Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

39c4aeb2dd622b6534b170abbd0c1c9677a048890252edcf76eb64801e8378bc

Aliases

arxiv: quant-ph/0205023 · arxiv_version: quant-ph/0205023v1 · doi: 10.48550/arxiv.quant-ph/0205023 · pith_short_12: HHCK5MW5MIVW · pith_short_16: HHCK5MW5MIVWKNFR · pith_short_8: HHCK5MW5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HHCK5MW5MIVWKNFROCV32DA4SZ \
  | 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: 39c4aeb2dd622b6534b170abbd0c1c9677a048890252edcf76eb64801e8378bc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5f593dd01535d31015884a457b31861bf936ce9785e4b32621b93b253835cc5f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-05-05T18:14:54Z",
    "title_canon_sha256": "35c56f0edb4cf9a00be9a04d0dd4cc1f8b559a1cef16b37a658631ed289f6deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0205023",
    "kind": "arxiv",
    "version": 1
  }
}