Pith Number

pith:NSGKFKOJ

pith:2006:NSGKFKOJDUCEBT4RHRPBDYNJML

not attested not anchored not stored refs pending

Every simple higher dimensional noncommutative torus is an AT algebra

N. Christopher Phillips

arxiv:math/0609783 v1 · 2006-09-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSGKFKOJDUCEBT4RHRPBDYNJML}

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.

Cited by

1 paper in Pith

Noncommutative protori and inductive spectral triples

Receipt and verification

First computed	2026-07-04T14:56:36.984537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c8ca2a9c91d0440cf913c5e11e1a962e733141ef2f95dcec7a480f07cfe678d

Aliases

arxiv: math/0609783 · arxiv_version: math/0609783v1 · doi: 10.48550/arxiv.math/0609783 · pith_short_12: NSGKFKOJDUCE · pith_short_16: NSGKFKOJDUCEBT4R · pith_short_8: NSGKFKOJ

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/NSGKFKOJDUCEBT4RHRPBDYNJML \
  | 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: 6c8ca2a9c91d0440cf913c5e11e1a962e733141ef2f95dcec7a480f07cfe678d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4656cee5e58d78b1f8fc7c168b9c1f16c0bb2139877017873cb6cc5f200be048",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-09-28T06:19:18Z",
    "title_canon_sha256": "90b6f09bf95138bdf82b7719cd1ad98a2f9ab10614e79e3b4e995b5f3656e9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609783",
    "kind": "arxiv",
    "version": 1
  }
}