Pith Number

pith:5D6Z7CQD

pith:2004:5D6Z7CQDBNN7WJC23UUUQIR4ZF

not attested not anchored not stored refs pending

Regularization as quantization in reducible representations of CCR

Jan Naudts, Marek Czachor

arxiv:hep-th/0408017 v5 · 2004-08-02 · hep-th · math-ph · math.MP · physics.atom-ph · 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{5D6Z7CQDBNN7WJC23UUUQIR4ZF}

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	2026-05-18T02:35:39.631131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fd9f8a030b5bfb245add2948223cc968e3e5d43dc468e93fe1435d49dd0bd3

Aliases

arxiv: hep-th/0408017 · arxiv_version: hep-th/0408017v5 · doi: 10.48550/arxiv.hep-th/0408017 · pith_short_12: 5D6Z7CQDBNN7 · pith_short_16: 5D6Z7CQDBNN7WJC2 · pith_short_8: 5D6Z7CQD

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/5D6Z7CQDBNN7WJC23UUUQIR4ZF \
  | 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: e8fd9f8a030b5bfb245add2948223cc968e3e5d43dc468e93fe1435d49dd0bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a035424f2b0786e3ac90142cafe21ad5a778e24b0ac9499012a791c562dcbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-08-02T18:17:16Z",
    "title_canon_sha256": "1ed8c62cec451738b17eed463387292c57d47e0125053a9c24c4874e69d3f55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0408017",
    "kind": "arxiv",
    "version": 5
  }
}