Pith Number

pith:XFENTF6Q

pith:2010:XFENTF6Q72325IGCVSAMEXLD6C

not attested not anchored not stored refs pending

Classification of spin structures on the noncommutative n-torus

Jan Jitse Venselaar

arxiv:1003.5156 v4 · 2010-03-26 · math.OA · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFENTF6Q72325IGCVSAMEXLD6C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:05:46.048695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b948d997d0feb7aea0c2ac80c25d63f083c84770686864bbef9cfbecea36139e

Aliases

arxiv: 1003.5156 · arxiv_version: 1003.5156v4 · doi: 10.48550/arxiv.1003.5156 · pith_short_12: XFENTF6Q7232 · pith_short_16: XFENTF6Q72325IGC · pith_short_8: XFENTF6Q

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/XFENTF6Q72325IGCVSAMEXLD6C \
  | 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: b948d997d0feb7aea0c2ac80c25d63f083c84770686864bbef9cfbecea36139e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c96bc2fdbeea1e821cd0837f0c4caf89f0f41e4e24bcd2e689f728f66865624",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-03-26T15:11:26Z",
    "title_canon_sha256": "28e35e06e793d16899faa6b3f9eb9c3824230685af7b69a4b95874ffafb6567c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5156",
    "kind": "arxiv",
    "version": 4
  }
}