Pith. sign in
Pith Number

pith:JJ5Z55QU

pith:2025:JJ5Z55QUQSYBSH5YIUTFFM7U6R
not attested not anchored not stored refs pending

Accurate Estimation of Mutual Information in High Dimensional Data

Eslam Abdelaleem, Ilya Nemenman, K. Michael Martini

arxiv:2506.00330 v3 · 2025-05-31 · physics.data-an · cs.IT · math.IT · stat.ML

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JJ5Z55QUQSYBSH5YIUTFFM7U6R}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-06-11T01:10:26.629121Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a7b9ef61484b0191fb8452652b3f4f46ab29785132b3f119000e3b7a633908b

Aliases

arxiv: 2506.00330 · arxiv_version: 2506.00330v3 · doi: 10.48550/arxiv.2506.00330 · pith_short_12: JJ5Z55QUQSYB · pith_short_16: JJ5Z55QUQSYBSH5Y · pith_short_8: JJ5Z55QU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JJ5Z55QUQSYBSH5YIUTFFM7U6R \
  | 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: 4a7b9ef61484b0191fb8452652b3f4f46ab29785132b3f119000e3b7a633908b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3d9eca480cb5323d15c70dbb1a9dc286de96bfa47fb689d834495384f180e3d1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2025-05-31T01:06:18Z",
    "title_canon_sha256": "d10e9104ecd886d856968e2776d414074cb3687dedae6c64628e0483b85eac6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00330",
    "kind": "arxiv",
    "version": 3
  }
}