Pith Number

pith:VV5V5QMI

pith:2023:VV5V5QMIXQ4NKLX6QXQNK6C2VQ

not attested not anchored not stored refs pending

A stochastic use of the Kurdyka-Lojasiewicz property: Investigation of optimization algorithms behaviours in a non-convex differentiable framework

Audrey Repetti, Emilie Chouzenoux, Jean-Baptiste Fest

arxiv:2302.06447 v5 · 2023-02-13 · 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{VV5V5QMIXQ4NKLX6QXQNK6C2VQ}

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

Introduction to stochastic gradient methods

Receipt and verification

First computed	2026-07-05T09:32:30.849347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7b5ec188bc38d52efe85e0d5785aac328de271112e26ac5a1b1f72f05ca5f6

Aliases

arxiv: 2302.06447 · arxiv_version: 2302.06447v5 · doi: 10.48550/arxiv.2302.06447 · pith_short_12: VV5V5QMIXQ4N · pith_short_16: VV5V5QMIXQ4NKLX6 · pith_short_8: VV5V5QMI

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/VV5V5QMIXQ4NKLX6QXQNK6C2VQ \
  | 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: ad7b5ec188bc38d52efe85e0d5785aac328de271112e26ac5a1b1f72f05ca5f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c73f6affb24c55357f5785d5129077a4f492801965a3c4fadc18140f457fc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-02-13T15:26:20Z",
    "title_canon_sha256": "ac9365d7d937f06ad3868eb604311dda7a21c081b7a7b083031f8644f41c8e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.06447",
    "kind": "arxiv",
    "version": 5
  }
}