Pith Number

pith:VSQGJ4KP

pith:2018:VSQGJ4KPSARIPFQNUNO57MENS3

not attested not anchored not stored refs pending

The Ricci Curvature for Noncommutative Three Tori

Asghar Ghorbanpour, Masoud Khalkhali, Rui Dong

arxiv:1808.02977 v1 · 2018-08-09 · 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{VSQGJ4KPSARIPFQNUNO57MENS3}

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	2026-05-18T00:08:30.540501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca064f14f902287960da35ddfb08d96cae8c4263556b9f5b1ac92fa3765b99b

Aliases

arxiv: 1808.02977 · arxiv_version: 1808.02977v1 · doi: 10.48550/arxiv.1808.02977 · pith_short_12: VSQGJ4KPSARI · pith_short_16: VSQGJ4KPSARIPFQN · pith_short_8: VSQGJ4KP

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/VSQGJ4KPSARIPFQNUNO57MENS3 \
  | 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: aca064f14f902287960da35ddfb08d96cae8c4263556b9f5b1ac92fa3765b99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2bd9a5754d21952db45bf36131260170f23173a61b26161c6e59d4bafce91e",
    "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": "2018-08-09T00:47:24Z",
    "title_canon_sha256": "36290834f2c2d024c17b78fc2c28112ce978e805abcc1afde46d5e058d48f0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02977",
    "kind": "arxiv",
    "version": 1
  }
}