Pith Number

pith:XM3CSJXU

pith:2010:XM3CSJXULIDKPWO53MOWUCD2F5

not attested not anchored not stored refs pending

Estimation of R\'enyi Entropy and Mutual Information Based on Generalized Nearest-Neighbor Graphs

Barnab\'as P\'oczos, Csaba Szepesv\'ari, D\'avid P\'al

arxiv:1003.1954 v2 · 2010-03-09 · stat.ML · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XM3CSJXULIDKPWO53MOWUCD2F5}

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	2026-05-18T04:38:48.471047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb362926f45a06a7d9dddb1d6a087a2f7337aac7a4a0e5177d7d6feb63c8455d

Aliases

arxiv: 1003.1954 · arxiv_version: 1003.1954v2 · doi: 10.48550/arxiv.1003.1954 · pith_short_12: XM3CSJXULIDK · pith_short_16: XM3CSJXULIDKPWO5 · pith_short_8: XM3CSJXU

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/XM3CSJXULIDKPWO53MOWUCD2F5 \
  | 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: bb362926f45a06a7d9dddb1d6a087a2f7337aac7a4a0e5177d7d6feb63c8455d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b62ac700248adf62d199505d9633c1ea13ecec40a3bc09d982ec91441ba87c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2010-03-09T19:01:51Z",
    "title_canon_sha256": "8717fca877e1ea300616fa098a5fb9fe6c9058d8bd0f9e08d3e6b0763628c8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1954",
    "kind": "arxiv",
    "version": 2
  }
}