Pith Number

pith:ZS23S7QH

pith:2015:ZS23S7QH4ZTWETQBH52ITGPPUX

not attested not anchored not stored refs pending

Automatic Variational Inference in Stan

Alp Kucukelbir, Andrew Gelman, David M. Blei, Rajesh Ranganath

arxiv:1506.03431 v2 · 2015-06-10 · 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{ZS23S7QH4ZTWETQBH52ITGPPUX}

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	2026-05-18T01:51:24.675351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb5b97e07e667624e013f748999efa5d671391f224561394464173f5b2c2a04

Aliases

arxiv: 1506.03431 · arxiv_version: 1506.03431v2 · doi: 10.48550/arxiv.1506.03431 · pith_short_12: ZS23S7QH4ZTW · pith_short_16: ZS23S7QH4ZTWETQB · pith_short_8: ZS23S7QH

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/ZS23S7QH4ZTWETQBH52ITGPPUX \
  | 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: ccb5b97e07e667624e013f748999efa5d671391f224561394464173f5b2c2a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7934e8619475b3e0609d6240ebbcfb8534b69cf762e7d7da3bda837114f2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-06-10T19:19:59Z",
    "title_canon_sha256": "4932a633d7996acc35b6f70c77a684685c3f3689d84d7552381336addf8f3bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03431",
    "kind": "arxiv",
    "version": 2
  }
}