Pith Number

pith:D42JEUUO

pith:2013:D42JEUUOLFPR72YJ32GGWJQIEC

not attested not anchored not stored refs pending

Dirac operator on noncommutative principal circle bundles

Alessandro Zucca, Andrzej Sitarz, Ludwik Dabrowski

arxiv:1305.6185 v2 · 2013-05-27 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D42JEUUOLFPR72YJ32GGWJQIEC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:14:29.454926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3492528e595f1feb09de8c6b2608209d788aa3ee4a17f8bf32064394ff121b

Aliases

arxiv: 1305.6185 · arxiv_version: 1305.6185v2 · doi: 10.48550/arxiv.1305.6185 · pith_short_12: D42JEUUOLFPR · pith_short_16: D42JEUUOLFPR72YJ · pith_short_8: D42JEUUO

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/D42JEUUOLFPR72YJ32GGWJQIEC \
  | 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: 1f3492528e595f1feb09de8c6b2608209d788aa3ee4a17f8bf32064394ff121b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8e9e49c4a52f838c2abfb80d1e5b6364a38bcbe15dfd9e894b8f9bc05f88e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-05-27T11:51:10Z",
    "title_canon_sha256": "17c8d047b10eb357e8de9a2c86e2a73a85575515f1851e8c09b7356e0f594789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6185",
    "kind": "arxiv",
    "version": 2
  }
}