Pith Number

pith:2FIQJTGY

pith:2012:2FIQJTGYNUFHGD4AFRSIIGM5AV

not attested not anchored not stored refs pending

Learning Manifolds with K-Means and K-Flats

Guillermo D. Canas, Lorenzo Rosasco, Tomaso Poggio

arxiv:1209.1121 v4 · 2012-09-05 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FIQJTGYNUFHGD4AFRSIIGM5AV}

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	2026-05-18T02:20:50.462057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15104ccd86d0a730f802c6484199d057c9c93d37a1e660488d602dacb1a1436

Aliases

arxiv: 1209.1121 · arxiv_version: 1209.1121v4 · doi: 10.48550/arxiv.1209.1121 · pith_short_12: 2FIQJTGYNUFH · pith_short_16: 2FIQJTGYNUFHGD4A · pith_short_8: 2FIQJTGY

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/2FIQJTGYNUFHGD4AFRSIIGM5AV \
  | 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: d15104ccd86d0a730f802c6484199d057c9c93d37a1e660488d602dacb1a1436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a393146188a4e8329bec517cdf33cd58d4ad7e192f5746d0b3b68c6b812227",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-09-05T21:18:03Z",
    "title_canon_sha256": "ffe25e77cc2af7dedb896810e8c3d6672ee3615b740e9c37ffe24c74ad172450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1121",
    "kind": "arxiv",
    "version": 4
  }
}