Pith Number

pith:6WGLMRHX

pith:2005:6WGLMRHXKVILT4IUT3D4AYBF7V

not attested not anchored not stored refs pending

Realization of a simple higher dimensional noncommutative torus as a transformation group C*-algebra

Benjam\'in Itz\'a-Ortiz, N. Christopher Phillips

arxiv:math/0512030 v1 · 2005-12-01 · 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{6WGLMRHXKVILT4IUT3D4AYBF7V}

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	2026-05-18T01:08:50.728455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58cb644f75550b9f1149ec7c06025fd53400c37dd34598a79ac3e9f40ab8c49

Aliases

arxiv: math/0512030 · arxiv_version: math/0512030v1 · doi: 10.48550/arxiv.math/0512030 · pith_short_12: 6WGLMRHXKVIL · pith_short_16: 6WGLMRHXKVILT4IU · pith_short_8: 6WGLMRHX

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/6WGLMRHXKVILT4IUT3D4AYBF7V \
  | 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: f58cb644f75550b9f1149ec7c06025fd53400c37dd34598a79ac3e9f40ab8c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5945637c126a675d6b2a0f145eec492a3d2157e9c6b2dc915660da927e931ebf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-12-01T15:51:57Z",
    "title_canon_sha256": "5d7b99a2504982d016e5dd3da652f808d84b67c52ee186c93dcc175dcc4ec1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512030",
    "kind": "arxiv",
    "version": 1
  }
}