Pith Number

pith:2W5MWT5N

pith:2011:2W5MWT5NNXMXSQUCCDFRR7FBEH

not attested not anchored not stored refs pending

On Projections in the Noncommutative 2-Torus Algebra

Micha{\l} Eckstein

arxiv:1103.6054 v3 · 2011-03-30 · math.KT · 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{2W5MWT5NNXMXSQUCCDFRR7FBEH}

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	2026-05-18T02:55:50.139973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5bacb4fad6dd979428210cb18fca121f08db490ee792b47d9e327abb392402a

Aliases

arxiv: 1103.6054 · arxiv_version: 1103.6054v3 · doi: 10.48550/arxiv.1103.6054 · pith_short_12: 2W5MWT5NNXMX · pith_short_16: 2W5MWT5NNXMXSQUC · pith_short_8: 2W5MWT5N

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/2W5MWT5NNXMXSQUCCDFRR7FBEH \
  | 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: d5bacb4fad6dd979428210cb18fca121f08db490ee792b47d9e327abb392402a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6d7f8d9cc40c645e749203edde49e9ab585fe2bbdec0aa935c30b0d5fc7aa1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-03-30T21:56:25Z",
    "title_canon_sha256": "80de342e4ea1beefbc3e8db621a9619d349881b3d579ff6194b736a783e68fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6054",
    "kind": "arxiv",
    "version": 3
  }
}