Pith Number

pith:T66UO2IB

pith:2005:T66UO2IBUCRSH4A4LITQOWZZ3Y

not attested not anchored not stored refs pending

Representations of Monomiality Principle with Sheffer-type Polynomials and Boson Normal Ordering

2), (2) Polish Academy of Sciences, (3) ENEA, A Horzela (2), Centro Ricerche Frascati, France, G Dattoli (3), Italy), K A Penson (1) ((1) LPTMC, Krakow, Paris University 6, P Blasiak (1, Poland, Rome

arxiv:quant-ph/0504009 v1 · 2005-04-02 · 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{T66UO2IBUCRSH4A4LITQOWZZ3Y}

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	2026-05-18T01:37:57.893452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbd476901a0a323f01c5a27075b39de0a07352c846f79ccc4f199e581d94c45

Aliases

arxiv: quant-ph/0504009 · arxiv_version: quant-ph/0504009v1 · doi: 10.48550/arxiv.quant-ph/0504009 · pith_short_12: T66UO2IBUCRS · pith_short_16: T66UO2IBUCRSH4A4 · pith_short_8: T66UO2IB

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/T66UO2IBUCRSH4A4LITQOWZZ3Y \
  | 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: 9fbd476901a0a323f01c5a27075b39de0a07352c846f79ccc4f199e581d94c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6b9116efc2b27563f6d4873116e34814f531c73a9d59d98e2408506f95431c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-04-02T09:52:22Z",
    "title_canon_sha256": "990a7f6adb3acf4cd5d5913967371f9b4d84a4a83a4f3678461643691cefdee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0504009",
    "kind": "arxiv",
    "version": 1
  }
}