Pith Number

pith:6DASLKEA

pith:2022:6DASLKEACJLUS7OUY7EOGRETXY

not attested not anchored not stored refs pending

On the complexity of nonsmooth automatic differentiation

B\'eatrice Pesquet-Popescu, Edouard Pauwels (IRIT), J\'er\^ome Bolte (TSE), Ryan Boustany (TSE)

arxiv:2206.01730 v2 · 2022-06-01 · math.NA · cs.AI · cs.LG · cs.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DASLKEACJLUS7OUY7EOGRETXY}

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

Mathematical analysis of the gradients in deep learning

Receipt and verification

First computed	2026-07-05T05:39:01.514134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c125a8801257497dd4c7c8e34493be235b75c926fcd979ccb46029067be81b

Aliases

arxiv: 2206.01730 · arxiv_version: 2206.01730v2 · doi: 10.48550/arxiv.2206.01730 · pith_short_12: 6DASLKEACJLU · pith_short_16: 6DASLKEACJLUS7OU · pith_short_8: 6DASLKEA

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/6DASLKEACJLUS7OUY7EOGRETXY \
  | 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: f0c125a8801257497dd4c7c8e34493be235b75c926fcd979ccb46029067be81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01aa7796caafbcaf68fdf82ac5c33284937797b4c65a1ce7add1d91e3af15d2f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-06-01T08:43:35Z",
    "title_canon_sha256": "ce7fe7121f1382053c77f9c714bcda72bf720b5c3e1f167b41cc16393cab433a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.01730",
    "kind": "arxiv",
    "version": 2
  }
}