Pith Number

pith:7SO5VIAL

pith:2009:7SO5VIALRFLIDXLB27IJ47HADB

not attested not anchored not stored refs pending

Noncommutative Approximation: Inverse-Closed Subalgebras and Off-Diagonal Decay of Matrices

Andreas Klotz, Karlheinz Gr\"ochenig

arxiv:0904.0386 v1 · 2009-04-02 · math.OA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SO5VIALRFLIDXLB27IJ47HADB}

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	2026-05-18T04:32:56.089121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9ddaa00b895681dd61d7d09e7ce0185bca01d2c850cc45d62da745bb4b7ba8

Aliases

arxiv: 0904.0386 · arxiv_version: 0904.0386v1 · doi: 10.48550/arxiv.0904.0386 · pith_short_12: 7SO5VIALRFLI · pith_short_16: 7SO5VIALRFLIDXLB · pith_short_8: 7SO5VIAL

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/7SO5VIALRFLIDXLB27IJ47HADB \
  | 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: fc9ddaa00b895681dd61d7d09e7ce0185bca01d2c850cc45d62da745bb4b7ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840888486082c106fc3529d3d286d8c691866f7c6772ed1af280e2bc569daeb8",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-04-02T13:27:57Z",
    "title_canon_sha256": "c303058653ac9813588d42df1cc27d4ac6f433528b1b5cad4089b3aaaec1ca44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0386",
    "kind": "arxiv",
    "version": 1
  }
}