Pith Number

pith:LL2NPHJA

pith:2010:LL2NPHJANNF36WDCSFPNS5CQ2P

not attested not anchored not stored refs pending

On the existence of Optimal Subspace Clustering Models

Akram Aldroubi, Romain Tessera

arxiv:1008.4811 v1 · 2010-08-27 · 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{LL2NPHJANNF36WDCSFPNS5CQ2P}

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	2026-05-18T04:41:43.627371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af4d79d206b4bbf5862915ed97450d3fa04d399429a248b3313ee68cbf41953

Aliases

arxiv: 1008.4811 · arxiv_version: 1008.4811v1 · doi: 10.48550/arxiv.1008.4811 · pith_short_12: LL2NPHJANNF3 · pith_short_16: LL2NPHJANNF36WDC · pith_short_8: LL2NPHJA

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/LL2NPHJANNF36WDCSFPNS5CQ2P \
  | 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: 5af4d79d206b4bbf5862915ed97450d3fa04d399429a248b3313ee68cbf41953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d5b561d32b9565d00270ed4ceb2f324d50a497553dce4b753f07ba20480756",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-27T21:34:58Z",
    "title_canon_sha256": "8e8ec154280b8d4086682a8585e81f52a57332fda8fd140e519d3ce7b4dd8ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4811",
    "kind": "arxiv",
    "version": 1
  }
}