Pith Number

pith:J4KHC36V

pith:2011:J4KHC36VJTWDXDCAFYGHJUFPX6

not attested not anchored not stored refs pending

Non-Linear Transformations of Gaussians and Gaussian-Mixtures with implications on Estimation and Information Theory

Paolo Banelli

arxiv:1111.5950 v3 · 2011-11-25 · cs.IT · math.IT · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4KHC36VJTWDXDCAFYGHJUFPX6}

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	2026-05-18T03:26:00.405860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f14716fd54cec3b8c402e0c74d0afbfa60e6c10bba1fe555d6d020c0c4c9441

Aliases

arxiv: 1111.5950 · arxiv_version: 1111.5950v3 · doi: 10.48550/arxiv.1111.5950 · pith_short_12: J4KHC36VJTWD · pith_short_16: J4KHC36VJTWDXDCA · pith_short_8: J4KHC36V

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/J4KHC36VJTWDXDCAFYGHJUFPX6 \
  | 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: 4f14716fd54cec3b8c402e0c74d0afbfa60e6c10bba1fe555d6d020c0c4c9441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b7401c72cbe3837aa7c603486d0eaf996a80022be98455177913e42188d1a6",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-25T11:26:25Z",
    "title_canon_sha256": "a089d40c57cf685fc1ba66b4e751e7fa7b704bf2ac25f22addd51ab5eb1eecb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5950",
    "kind": "arxiv",
    "version": 3
  }
}