Pith Number

pith:TQFZ3XF4

pith:2005:TQFZ3XF4L4PSKGLEZAOPTVY3TP

not attested not anchored not stored refs pending

Combinatorial Solutions to Normal Ordering of Bosons

2), (2) LPTMC, 3) ((1) Institute of Nuclear Physics, (3) The Open University, A. Gawron (1), A. Horzela (1), A.I. Solomon (2, France, K.A. Penson (2), Krakow, Milton Keynes, P. Blasiak (1, Poland, Polish Academy of Sciences, UK), University of Paris VI

arxiv:quant-ph/0510082 v1 · 2005-10-12 · 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{TQFZ3XF4L4PSKGLEZAOPTVY3TP}

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	2026-05-18T04:32:20.527708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0b9ddcbc5f1f251964c81cf9d71b9bee30d23f3d932988021d09c05aa21f0f

Aliases

arxiv: quant-ph/0510082 · arxiv_version: quant-ph/0510082v1 · doi: 10.48550/arxiv.quant-ph/0510082 · pith_short_12: TQFZ3XF4L4PS · pith_short_16: TQFZ3XF4L4PSKGLE · pith_short_8: TQFZ3XF4

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/TQFZ3XF4L4PSKGLEZAOPTVY3TP \
  | 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: 9c0b9ddcbc5f1f251964c81cf9d71b9bee30d23f3d932988021d09c05aa21f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d86128a564bf3468c7b9f0f6f7b49e73a9052e13842200da96af1deb1579457",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-10-12T12:59:48Z",
    "title_canon_sha256": "298d80584e8e9c65e4ac1c2f6d68f2e57b0a728c8b7b3077a13eba8c2bb5a2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0510082",
    "kind": "arxiv",
    "version": 1
  }
}