Pith Number

pith:AL52LLXP

pith:2021:AL52LLXP3MV3VQJ7EZRSTJTN7I

not attested not anchored not stored refs pending

JFB: Jacobian-Free Backpropagation for Implicit Networks

Daniel McKenzie, Howard Heaton, Qiuwei Li, Samy Wu Fung, Stanley Osher, Wotao Yin

arxiv:2103.12803 v4 · 2021-03-23 · 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{AL52LLXP3MV3VQJ7EZRSTJTN7I}

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

Fixed-Point Masked Generative Modeling

Receipt and verification

First computed	2026-07-05T03:43:39.730460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02fba5aeefdb2bbac13f266329a66dfa3c346c38d3e9b4e8853acc5858486042

Aliases

arxiv: 2103.12803 · arxiv_version: 2103.12803v4 · doi: 10.48550/arxiv.2103.12803 · pith_short_12: AL52LLXP3MV3 · pith_short_16: AL52LLXP3MV3VQJ7 · pith_short_8: AL52LLXP

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/AL52LLXP3MV3VQJ7EZRSTJTN7I \
  | 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: 02fba5aeefdb2bbac13f266329a66dfa3c346c38d3e9b4e8853acc5858486042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c98e1028bbbf5de350b232dc44dc3b7649f9f1fbf65b8f75708462ecd9d558",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-23T19:20:33Z",
    "title_canon_sha256": "bd9a0639dfc55a3b1f7d00e42b3e040742990122ec3ed23ef3c8909afe1142e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.12803",
    "kind": "arxiv",
    "version": 4
  }
}