Pith Number

pith:DP5YQAOW

pith:2010:DP5YQAOWOZ5AD3DIHR4LRKOABS

not attested not anchored not stored refs pending

Generalized Weyl-Wigner-Moyal Formalism and Topological Groups

A. Martens, B. Go{\l}ubowska, E. E. Ro\.zko, J. J. S{\l}awianowski, V. Kovalchuk

arxiv:1012.5768 v1 · 2010-12-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DP5YQAOWOZ5AD3DIHR4LRKOABS}

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	2026-05-18T03:34:46.525685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bfb8801d6767a01ec683c78b8a9c00c998b836afb0e4f03f30b2b3e3b661bc1

Aliases

arxiv: 1012.5768 · arxiv_version: 1012.5768v1 · doi: 10.48550/arxiv.1012.5768 · pith_short_12: DP5YQAOWOZ5A · pith_short_16: DP5YQAOWOZ5AD3DI · pith_short_8: DP5YQAOW

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/DP5YQAOWOZ5AD3DIHR4LRKOABS \
  | 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: 1bfb8801d6767a01ec683c78b8a9c00c998b836afb0e4f03f30b2b3e3b661bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b3c9e5df7062fd5a6e9c0679c558e21bfca38e6ca33aafdf3ba2671a9c4156",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-28T14:09:56Z",
    "title_canon_sha256": "c13aa4cb984c816db8747215397161cb00b2bc9d8fa25af4ad8828a8f37d76f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5768",
    "kind": "arxiv",
    "version": 1
  }
}