Pith Number

pith:3BKWHICD

pith:2005:3BKWHICDYHBLUCB2LZVA26IJ3G

not attested not anchored not stored refs pending

Multiresolution Kernels

Kenji Fukumizu, Marco Cuturi

arxiv:cs/0507033 v2 · 2005-07-13 · 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{3BKWHICDYHBLUCB2LZVA26IJ3G}

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	2026-07-04T14:50:31.627343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85563a043c1c2ba083a5e6a0d7909d9a1a6d74104a289810a16062b3f4e4066

Aliases

arxiv: cs/0507033 · arxiv_version: cs/0507033v2 · doi: 10.48550/arxiv.cs/0507033 · pith_short_12: 3BKWHICDYHBL · pith_short_16: 3BKWHICDYHBLUCB2 · pith_short_8: 3BKWHICD

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/3BKWHICDYHBLUCB2LZVA26IJ3G \
  | 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: d85563a043c1c2ba083a5e6a0d7909d9a1a6d74104a289810a16062b3f4e4066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397081d9a5d530f0be415b40bf65de7bc38ba24d0e9c516a5be7c81e32d78521",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.LG",
    "submitted_at": "2005-07-13T05:45:28Z",
    "title_canon_sha256": "d70ba4e079eb6a636cf83f9f545ac15ef6340cd003f6b1036eb257ec61aa01e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0507033",
    "kind": "arxiv",
    "version": 2
  }
}