Pith Number

pith:4CNYLXII

pith:2026:4CNYLXIIZL3XZCQV6CEGLBGE62

not attested not anchored not stored refs pending

Gaussian mixtures and non-parametric likelihoods through the lens of statistical mechanics

Adityanand Guntuboyina, Hoang-Son Tran, Satyaki Mukherjee, Subhroshekhar Ghosh

arxiv:2603.23196 v2 · 2026-03-24 · math.ST · cond-mat.dis-nn · cond-mat.stat-mech · math.PR · stat.ML · 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{4CNYLXIIZL3XZCQV6CEGLBGE62}

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

1 paper in Pith

Characterisations of Kullback--Leibler approximation by finite Gaussian mixtures

Receipt and verification

First computed	2026-07-09T01:19:53.260818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09b85dd08caf77c8a15f0886584c4f688fb9024f9571e2dfa11f35c67c62ffe

Aliases

arxiv: 2603.23196 · arxiv_version: 2603.23196v2 · doi: 10.48550/arxiv.2603.23196 · pith_short_12: 4CNYLXIIZL3X · pith_short_16: 4CNYLXIIZL3XZCQV · pith_short_8: 4CNYLXII

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/4CNYLXIIZL3XZCQV6CEGLBGE62 \
  | 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: e09b85dd08caf77c8a15f0886584c4f688fb9024f9571e2dfa11f35c67c62ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8b366ad684f0a865a6e039f41996ace360f612da030a147ebca17bd27ddcf2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-03-24T13:42:57Z",
    "title_canon_sha256": "d10248ab1946b220391ced4b71e8b6711bc58df06215654fefdbd744a8f7c9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23196",
    "kind": "arxiv",
    "version": 2
  }
}