Pith Number

pith:FTMZ2Y3L

pith:2009:FTMZ2Y3LIIG2M7VVPONNZYJ5DS

not attested not anchored not stored refs pending

Noncommutative principal torus bundles via parametrised strict deformation quantization

Keith Hannabuss, Varghese Mathai

arxiv:0911.1886 v2 · 2009-11-10 · math-ph · hep-th · math.DG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTMZ2Y3LIIG2M7VVPONNZYJ5DS}

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	2026-05-18T02:34:11.421631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd99d636b420da67eb57b9adce13d1c8f04de1a14d1059abd26d9c1748f7db6

Aliases

arxiv: 0911.1886 · arxiv_version: 0911.1886v2 · doi: 10.48550/arxiv.0911.1886 · pith_short_12: FTMZ2Y3LIIG2 · pith_short_16: FTMZ2Y3LIIG2M7VV · pith_short_8: FTMZ2Y3L

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/FTMZ2Y3LIIG2M7VVPONNZYJ5DS \
  | 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: 2cd99d636b420da67eb57b9adce13d1c8f04de1a14d1059abd26d9c1748f7db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7148d2925f8a4c3640ec799e8fd3bcff73ecd4bd79409589654c5b3e6ef81b",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-10T11:39:53Z",
    "title_canon_sha256": "c547915d73e1cd8613e99eec357359cca9777df0fcd8bdd9949ff4c389978cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1886",
    "kind": "arxiv",
    "version": 2
  }
}