Pith Number

pith:IEKUNNTE

pith:2022:IEKUNNTE5O7OZCSAJKAXCYOWTZ

not attested not anchored not stored refs pending

A Mathematical Framework for Learning Probability Distributions

Hongkang Yang

arxiv:2212.11481 v2 · 2022-12-22 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEKUNNTE5O7OZCSAJKAXCYOWTZ}

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

Implicit Regularisation in Diffusion Models: An Algorithm-Dependent Generalisation Analysis

Receipt and verification

First computed	2026-07-05T05:29:04.809476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

411546b664ebbeec8a404a817161d69e5dcbf1d4f045cd7078b77f152c8dca13

Aliases

arxiv: 2212.11481 · arxiv_version: 2212.11481v2 · doi: 10.48550/arxiv.2212.11481 · pith_short_12: IEKUNNTE5O7O · pith_short_16: IEKUNNTE5O7OZCSA · pith_short_8: IEKUNNTE

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/IEKUNNTE5O7OZCSAJKAXCYOWTZ \
  | 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: 411546b664ebbeec8a404a817161d69e5dcbf1d4f045cd7078b77f152c8dca13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892643714dd83074516a8de019c9f6bf1d5eac06cbb1af2b737fff1bd4a0d78b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-12-22T04:41:45Z",
    "title_canon_sha256": "9fdb116102aa43b4e6a4ff119cb2c3756b43b1e2f6cfb308f9a665558f399516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11481",
    "kind": "arxiv",
    "version": 2
  }
}