Pith Number

pith:KLV3SSKW

pith:2016:KLV3SSKWIVM7VGKPUWX4DNOZJ4

not attested not anchored not stored refs pending

The Ricci Curvature in Noncommutative Geometry

Asghar Ghorbanpour, Masoud Khalkhali, Remus Floricel

arxiv:1612.06688 v2 · 2016-12-20 · math.QA · math-ph · math.DG · math.MP · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLV3SSKWIVM7VGKPUWX4DNOZJ4}

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	2026-05-18T00:27:52.934842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ebb949564559fa994fa5afc1b5d94f18ebf475b74d0a38c4d994e5469641b2

Aliases

arxiv: 1612.06688 · arxiv_version: 1612.06688v2 · doi: 10.48550/arxiv.1612.06688 · pith_short_12: KLV3SSKWIVM7 · pith_short_16: KLV3SSKWIVM7VGKP · pith_short_8: KLV3SSKW

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/KLV3SSKWIVM7VGKPUWX4DNOZJ4 \
  | 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: 52ebb949564559fa994fa5afc1b5d94f18ebf475b74d0a38c4d994e5469641b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858d7a9349112e0d290588064a5444c127aa97834db627213b6b74585b54cc21",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-20T14:46:05Z",
    "title_canon_sha256": "06f1be473ec0291e36be092267ee0a067a83373eaffd95efec6170db5371cd70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06688",
    "kind": "arxiv",
    "version": 2
  }
}