Pith Number

pith:HCJFGZ35

pith:2021:HCJFGZ35PV3MYMXRCKPU5FRGD2

not attested not anchored not stored refs pending

A unified view of likelihood ratio and reparameterization gradients

Masashi Sugiyama, Paavo Parmas

arxiv:2105.14900 v1 · 2021-05-31 · cs.LG · cs.AI · 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{HCJFGZ35PV3MYMXRCKPU5FRGD2}

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	2026-07-05T02:44:42.501392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389253677d7d76cc32f1129f4e96261ead073fc0681e8fe223496fa31905d8ea

Aliases

arxiv: 2105.14900 · arxiv_version: 2105.14900v1 · doi: 10.48550/arxiv.2105.14900 · pith_short_12: HCJFGZ35PV3M · pith_short_16: HCJFGZ35PV3MYMXR · pith_short_8: HCJFGZ35

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/HCJFGZ35PV3MYMXRCKPU5FRGD2 \
  | 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: 389253677d7d76cc32f1129f4e96261ead073fc0681e8fe223496fa31905d8ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb423f7e4f3122a40e9f027d63f3bff27335547daea31573fd8b03bc4402ed1",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-31T11:53:08Z",
    "title_canon_sha256": "cf7315b507454c965d2bd058bd58ec3563440d2997f1f18d60c94fa9a0d12e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14900",
    "kind": "arxiv",
    "version": 1
  }
}