Pith Number

pith:D4GMSF6B

pith:2010:D4GMSF6BBWHAX4YCK2L6BMB26V

not attested not anchored not stored refs pending

Noncommutative circle bundles and new Dirac operators

Andrzej Sitarz, Ludwik Dabrowski

arxiv:1012.3055 v2 · 2010-12-14 · math-ph · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4GMSF6BBWHAX4YCK2L6BMB26V}

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	2026-05-18T03:06:43.172893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0cc917c10d8e0bf3025697e0b03af552497d511e0dd313410e378345dc0ab6

Aliases

arxiv: 1012.3055 · arxiv_version: 1012.3055v2 · doi: 10.48550/arxiv.1012.3055 · pith_short_12: D4GMSF6BBWHA · pith_short_16: D4GMSF6BBWHAX4YC · pith_short_8: D4GMSF6B

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/D4GMSF6BBWHAX4YCK2L6BMB26V \
  | 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: 1f0cc917c10d8e0bf3025697e0b03af552497d511e0dd313410e378345dc0ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8593407da6cbad4c797f9cfac933c81a32b1354b20dd190f38a2b64587b51d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-14T15:17:20Z",
    "title_canon_sha256": "e74a5296b2a9d7c1537203b90644eb5b44f98ae2214a5845548a8fe5e301d8f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3055",
    "kind": "arxiv",
    "version": 2
  }
}