Pith Number

pith:NIOUDWOI

pith:2015:NIOUDWOI47QLK2SDJICRET3E2Q

not attested not anchored not stored refs pending

On the Entropy Computation of Large Complex Gaussian Mixture Distributions

Gunnar Peters, Su Min Kim, Tan Tai Do, Tobias J. Oechtering

arxiv:1502.03790 v2 · 2015-02-12 · 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{NIOUDWOI47QLK2SDJICRET3E2Q}

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	2026-05-18T01:29:03.331947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1d41d9c8e7e0b56a434a05124f64d411cda071337096071bc1df270001d245

Aliases

arxiv: 1502.03790 · arxiv_version: 1502.03790v2 · doi: 10.48550/arxiv.1502.03790 · pith_short_12: NIOUDWOI47QL · pith_short_16: NIOUDWOI47QLK2SD · pith_short_8: NIOUDWOI

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/NIOUDWOI47QLK2SDJICRET3E2Q \
  | 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: 6a1d41d9c8e7e0b56a434a05124f64d411cda071337096071bc1df270001d245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b35228c7b2da11afeefe2891e1b28f78ad0f4eaf98ff358f03c50d54c85e80",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-12T19:58:19Z",
    "title_canon_sha256": "9b0441d6f13240d5787f31be8e679a125f940cd488ff056d2e22e51252f2b5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03790",
    "kind": "arxiv",
    "version": 2
  }
}