Pith Number

pith:JDDTEOWT

pith:2019:JDDTEOWTNXXHBLLCL6D7KZNK4T

not attested not anchored not stored refs pending

Equality in the Matrix Entropy-Power Inequality and Blind Separation of Real and Complex sources

Olivier Rioul, Ram Zamir

arxiv:1901.06905 v2 · 2019-01-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDDTEOWTNXXHBLLCL6D7KZNK4T}

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	2026-05-17T23:44:29.549880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c7323ad36dee70ad625f87f565aae4fa00d31e40a6cc0ad57de8d71a5d6a48

Aliases

arxiv: 1901.06905 · arxiv_version: 1901.06905v2 · doi: 10.48550/arxiv.1901.06905 · pith_short_12: JDDTEOWTNXXH · pith_short_16: JDDTEOWTNXXHBLLC · pith_short_8: JDDTEOWT

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/JDDTEOWTNXXHBLLCL6D7KZNK4T \
  | 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: 48c7323ad36dee70ad625f87f565aae4fa00d31e40a6cc0ad57de8d71a5d6a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1185ca12a7a5823b0e8be906252fe16f1d4c2945f2d164cc0f58b5f95497b38c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-21T12:21:48Z",
    "title_canon_sha256": "b106590b5710d51e17149ec3070494fbf9d13a6198e14e24f2c9a2b2d708f5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06905",
    "kind": "arxiv",
    "version": 2
  }
}