Pith Number

pith:DL7ZE2U7

pith:2012:DL7ZE2U73HBDBXKAQMRWOSQRNC

not attested not anchored not stored refs pending

Curved noncommutative torus and Gauss--Bonnet

Andrzej Sitarz, Ludwik Dabrowski

arxiv:1204.0420 v1 · 2012-04-02 · 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{DL7ZE2U73HBDBXKAQMRWOSQRNC}

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	2026-05-18T03:06:43.103535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aff926a9fd9c230dd408323674a116898361e9b2222ee78c8cb82aa9d49f163

Aliases

arxiv: 1204.0420 · arxiv_version: 1204.0420v1 · doi: 10.48550/arxiv.1204.0420 · pith_short_12: DL7ZE2U73HBD · pith_short_16: DL7ZE2U73HBDBXKA · pith_short_8: DL7ZE2U7

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/DL7ZE2U73HBDBXKAQMRWOSQRNC \
  | 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: 1aff926a9fd9c230dd408323674a116898361e9b2222ee78c8cb82aa9d49f163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b5a60c2f438b011178952b1d4c5f5587f927f77a4d0034e3711bdbed276374",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-04-02T14:35:49Z",
    "title_canon_sha256": "712f3547c47b7161373a238133960e1196f8cc777f8278f9a813d6c39d69907e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0420",
    "kind": "arxiv",
    "version": 1
  }
}