pith. sign in
Pith Number

pith:CKS2FCSO

pith:2013:CKS2FCSOXEVVUH5EENFIOIPCI7
not attested not anchored not stored refs pending

Scalar Curvature for Noncommutative Four-Tori

Farzad Fathizadeh, Masoud Khalkhali

arxiv:1301.6135 v1 · 2013-01-25 · math.QA · math.DG · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CKS2FCSOXEVVUH5EENFIOIPCI7}

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 2026-05-18T03:35:26.973745Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12a5a28a4eb92b5a1fa4234a8721e247f57dd326dc149c2cd0b2968f664d3d04

Aliases

arxiv: 1301.6135 · arxiv_version: 1301.6135v1 · doi: 10.48550/arxiv.1301.6135 · pith_short_12: CKS2FCSOXEVV · pith_short_16: CKS2FCSOXEVVUH5E · pith_short_8: CKS2FCSO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CKS2FCSOXEVVUH5EENFIOIPCI7 \
  | 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: 12a5a28a4eb92b5a1fa4234a8721e247f57dd326dc149c2cd0b2968f664d3d04
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e862468880611d6166bb1801896a9a99840077c904e19896c92c34f2727b4c7",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-25T19:28:07Z",
    "title_canon_sha256": "43a402dc86f2058aadc8045a14a831ee2974c54ce74cb4937335a0c1125de19c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6135",
    "kind": "arxiv",
    "version": 1
  }
}