Pith Number

pith:EUFTFIKK

pith:2026:EUFTFIKKQNHT44B3JSZBK6CHSH

not attested not anchored not stored refs pending

A Unified Kullback--Leibler Divergence Analysis of Generative Diffusion Models via Entropy Production Rate

Han Wu, Zhiwen Zhang

arxiv:2608.02406 v1 · 2026-08-03 · math.NA · cs.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUFTFIKKQNHT44B3JSZBK6CHSH}

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	2026-08-04T02:12:09.295355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

250b32a14a834f3e703b4cb215784791f12dd51073852d58753bf72af6c3a4ac

Aliases

arxiv: 2608.02406 · arxiv_version: 2608.02406v1 · doi: 10.48550/arxiv.2608.02406 · pith_short_12: EUFTFIKKQNHT · pith_short_16: EUFTFIKKQNHT44B3 · pith_short_8: EUFTFIKK

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/EUFTFIKKQNHT44B3JSZBK6CHSH \
  | 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: 250b32a14a834f3e703b4cb215784791f12dd51073852d58753bf72af6c3a4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89f1a93c46d5edf76aa3ac014870b27213d9c85ca4df5cff94d9e6e27881de8",
    "cross_cats_sorted": [
      "cs.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-03T15:49:08Z",
    "title_canon_sha256": "a14f35bb6631dda39b8866653c074ffa87c199436da926c1ebb77413d3c75d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02406",
    "kind": "arxiv",
    "version": 1
  }
}