Pith Number

pith:5PDOIV67

pith:2013:5PDOIV67WIFQGRXWUH22L7WD35

not attested not anchored not stored refs pending

Levi-Civita's Theorem for Noncommutative Tori

Jonathan Rosenberg

arxiv:1307.3775 v3 · 2013-07-14 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PDOIV67WIFQGRXWUH22L7WD35}

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	2026-05-18T02:29:02.771088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc6e457dfb20b0346f6a1f5a5fec3df764179b3b5edcd591a4dff7f9d3bbc87

Aliases

arxiv: 1307.3775 · arxiv_version: 1307.3775v3 · doi: 10.48550/arxiv.1307.3775 · pith_short_12: 5PDOIV67WIFQ · pith_short_16: 5PDOIV67WIFQGRXW · pith_short_8: 5PDOIV67

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/5PDOIV67WIFQGRXWUH22L7WD35 \
  | 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: ebc6e457dfb20b0346f6a1f5a5fec3df764179b3b5edcd591a4dff7f9d3bbc87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b006c28c31825044a7f28ee95a35bc1373641e1b7366e4a813d58bd52d92efa9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-14T20:08:38Z",
    "title_canon_sha256": "0d832c213d688bd6b42678ba3cf6e07e9093ba0be65fef21d98394c3fa37c548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3775",
    "kind": "arxiv",
    "version": 3
  }
}