Pith Number

pith:EJ4G3ZTK

pith:2022:EJ4G3ZTKGEMGHM64VLL2YGOTR3

not attested not anchored not stored refs pending

Automatic Differentiation of Programs with Discrete Randomness

Chris Rackauckas, Frank Sch\"afer, Gaurav Arya, Moritz Schauer

arxiv:2210.08572 v3 · 2022-10-16 · cs.LG · cs.MS · cs.NA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJ4G3ZTKGEMGHM64VLL2YGOTR3}

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

A Principled Bayesian Framework for Training Binary and Spiking Neural Networks

Receipt and verification

First computed	2026-07-05T05:31:17.988888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22786de66a311863b3dcaad7ac19d38ed27d31466c979161ea9b7fa57719b3ae

Aliases

arxiv: 2210.08572 · arxiv_version: 2210.08572v3 · doi: 10.48550/arxiv.2210.08572 · pith_short_12: EJ4G3ZTKGEMG · pith_short_16: EJ4G3ZTKGEMGHM64 · pith_short_8: EJ4G3ZTK

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/EJ4G3ZTKGEMGHM64VLL2YGOTR3 \
  | 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: 22786de66a311863b3dcaad7ac19d38ed27d31466c979161ea9b7fa57719b3ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993347d3c22009d49075d227fe3a4114bfb5c286be50226a19775884d83d8d48",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-16T16:05:50Z",
    "title_canon_sha256": "e39815a8b75db66e94aace1c6e8d3a2399363614665824e48fdf4ee148eee757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.08572",
    "kind": "arxiv",
    "version": 3
  }
}