Pith Number

pith:R4JW56VJ

pith:2002:R4JW56VJ7XETAINUAFLIMBX4JA

not attested not anchored not stored refs pending

Combinatorics of Boson Normal Ordering: the Dobinski Formula Revisited

Allan I. Solomon (LPTL, France), Karol A. Penson, University of Paris VI

arxiv:quant-ph/0211028 v1 · 2002-11-06 · quant-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4JW56VJ7XETAINUAFLIMBX4JA}

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

Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications

Receipt and verification

First computed	2026-07-04T14:46:03.324391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f136efaa9fdc93021b401568606fc48013c1a58113c64ad4e2975d81f724186

Aliases

arxiv: quant-ph/0211028 · arxiv_version: quant-ph/0211028v1 · doi: 10.48550/arxiv.quant-ph/0211028 · pith_short_12: R4JW56VJ7XET · pith_short_16: R4JW56VJ7XETAINU · pith_short_8: R4JW56VJ

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/R4JW56VJ7XETAINUAFLIMBX4JA \
  | 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: 8f136efaa9fdc93021b401568606fc48013c1a58113c64ad4e2975d81f724186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f38fd00d40fee65696ff7ea763a18b7c7dbf958e20c7b37389ae3e638a94167",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-11-06T17:03:28Z",
    "title_canon_sha256": "e300bea8b5865948ec1a00a566df831b2c1def698da706c16661ffc0fce968f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0211028",
    "kind": "arxiv",
    "version": 1
  }
}