Pith Number

pith:ZVJTZN4T

pith:2011:ZVJTZN4T647UCV7YFGOTUDRCZJ

not attested not anchored not stored refs pending

A Unified Framework for Approximating and Clustering Data

Dan Feldman, Michael Langberg

arxiv:1106.1379 v4 · 2011-06-07 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVJTZN4T647UCV7YFGOTUDRCZJ}

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	2026-05-18T01:13:29.058454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd533cb793f73f4157f8299d3a0e22ca69eb37cf7b8315b509eb7383b447a0c9

Aliases

arxiv: 1106.1379 · arxiv_version: 1106.1379v4 · doi: 10.48550/arxiv.1106.1379 · pith_short_12: ZVJTZN4T647U · pith_short_16: ZVJTZN4T647UCV7Y · pith_short_8: ZVJTZN4T

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/ZVJTZN4T647UCV7YFGOTUDRCZJ \
  | 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: cd533cb793f73f4157f8299d3a0e22ca69eb37cf7b8315b509eb7383b447a0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b609b5b48a679524d3e0bdc21486df5f7a64ec754531fac78ddc904fd49350d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2011-06-07T15:52:39Z",
    "title_canon_sha256": "baacf17df084fb9cdb68c9ef9044ff24c5696338cf68489a0daa6efb8e4cd8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1379",
    "kind": "arxiv",
    "version": 4
  }
}