Pith Number

pith:AN2LQK5G

pith:2011:AN2LQK5G5HYTNSJ3UDF6G5HT3A

not attested not anchored not stored refs pending

Scalar Curvature for the Noncommutative Two Torus

Farzad Fathizadeh, Masoud Khalkhali

arxiv:1110.3511 v1 · 2011-10-16 · math.QA · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AN2LQK5G5HYTNSJ3UDF6G5HT3A}

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	2026-05-18T04:10:49.005634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0374b82ba6e9f136c93ba0cbe374f3d8120fb01106fef3a5f369258552c1921b

Aliases

arxiv: 1110.3511 · arxiv_version: 1110.3511v1 · doi: 10.48550/arxiv.1110.3511 · pith_short_12: AN2LQK5G5HYT · pith_short_16: AN2LQK5G5HYTNSJ3 · pith_short_8: AN2LQK5G

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/AN2LQK5G5HYTNSJ3UDF6G5HT3A \
  | 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: 0374b82ba6e9f136c93ba0cbe374f3d8120fb01106fef3a5f369258552c1921b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe4546df25d6c4ef2809fac47613e15dc92bed45f4538b353026e47fc6ac9e5",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-16T18:41:07Z",
    "title_canon_sha256": "c0900c7a3f5aa90710655dec52accaaa84da37974172b9b4cc72f32d1a8dfa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3511",
    "kind": "arxiv",
    "version": 1
  }
}