Pith Number

pith:R4FRWPLQ

pith:2016:R4FRWPLQPQKPD6Y23CYEL2PXIV

not attested not anchored not stored refs pending

The Generalized Reparameterization Gradient

David M. Blei, Francisco J. R. Ruiz, Michalis K. Titsias

arxiv:1610.02287 v3 · 2016-10-07 · 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{R4FRWPLQPQKPD6Y23CYEL2PXIV}

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	2026-05-18T01:01:51.309230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0b1b3d707c14f1fb1ad8b045e9f7455a94edc6c8f9d432f8bcb08984bb4e12

Aliases

arxiv: 1610.02287 · arxiv_version: 1610.02287v3 · doi: 10.48550/arxiv.1610.02287 · pith_short_12: R4FRWPLQPQKP · pith_short_16: R4FRWPLQPQKPD6Y2 · pith_short_8: R4FRWPLQ

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/R4FRWPLQPQKPD6Y23CYEL2PXIV \
  | 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: 8f0b1b3d707c14f1fb1ad8b045e9f7455a94edc6c8f9d432f8bcb08984bb4e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2669d505cfadf7eb58fcbbb8e1eaf62f34cf7605af343e461abd3c4985593ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-07T13:55:35Z",
    "title_canon_sha256": "846f60449a5bf82a557b9d9eb4212b411e3b4090123c68614f5a87e86882bf84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02287",
    "kind": "arxiv",
    "version": 3
  }
}