Pith Number

pith:5WJRG5FH

pith:2005:5WJRG5FHKGRGGJUTM6KL2OHY2C

not attested not anchored not stored refs pending

Combinatorics of boson normal ordering and some applications

2) ((1) LPTMC, (2) IFJ, France, Krakow, P. Blasiak (1, Poland), Polish Academy of Sciences, University of Paris VI

arxiv:quant-ph/0507206 v2 · 2005-07-21 · 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{5WJRG5FHKGRGGJUTM6KL2OHY2C}

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.

Cited by

1 paper in Pith

Two-photon coupling via Josephson element II: Interaction dressing, cross-Kerr coupling, and limits of low-energy bosonic model

Receipt and verification

First computed	2026-05-18T04:32:20.549460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed931374a751a26326936794bd38f8d0b5f171290276d339ab57bad2f957da6a

Aliases

arxiv: quant-ph/0507206 · arxiv_version: quant-ph/0507206v2 · doi: 10.48550/arxiv.quant-ph/0507206 · pith_short_12: 5WJRG5FHKGRG · pith_short_16: 5WJRG5FHKGRGGJUT · pith_short_8: 5WJRG5FH

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/5WJRG5FHKGRGGJUTM6KL2OHY2C \
  | 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: ed931374a751a26326936794bd38f8d0b5f171290276d339ab57bad2f957da6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d050c3c163ca6fa5a6e4b9297c7b725fea4e01bd3fedefbec91970e950c7927",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-07-21T09:32:54Z",
    "title_canon_sha256": "08c0a8f0b0551f145f6b1c3b94b108cd94c5ed8fcf8c5ec4598c84775911ba3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0507206",
    "kind": "arxiv",
    "version": 2
  }
}