Pith Number

pith:FNE2R2MV

pith:2010:FNE2R2MVPJPSVRYATA7L63VS4F

not attested not anchored not stored refs pending

Joint similarity to operators in noncommutative varieties

Gelu Popescu

arxiv:1004.2021 v2 · 2010-04-12 · math.FA · 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{FNE2R2MVPJPSVRYATA7L63VS4F}

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

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Receipt and verification

First computed	2026-05-18T02:58:02.276291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b49a8e9957a5f2ac700983ebf6eb2e148265ac2e80c8627848db1ea57b66724

Aliases

arxiv: 1004.2021 · arxiv_version: 1004.2021v2 · doi: 10.48550/arxiv.1004.2021 · pith_short_12: FNE2R2MVPJPS · pith_short_16: FNE2R2MVPJPSVRYA · pith_short_8: FNE2R2MV

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/FNE2R2MVPJPSVRYATA7L63VS4F \
  | 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: 2b49a8e9957a5f2ac700983ebf6eb2e148265ac2e80c8627848db1ea57b66724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b191096b48385ab810ce0c7fb8c41d675495e9a9ef7934b4f1da012fc53cb6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-12T18:42:01Z",
    "title_canon_sha256": "a6afd256255aed01edc3129acbd617eae2ea910f2110a5c01cf98fc6f200c00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2021",
    "kind": "arxiv",
    "version": 2
  }
}