Pith Number

pith:6L2FO5C2

pith:2026:6L2FO5C2ONRXGSIWT7ECERR3D6

not attested not anchored not stored refs pending

Langevin for Nonconvex Optimization: Exact, Inexact and Zeroth-Order

Emanuele Naldi, Lorenzo Rosasco, Marco Rando, Silvia Villa

arxiv:2607.22353 v1 · 2026-07-24 · 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{6L2FO5C2ONRXGSIWT7ECERR3D6}

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	2026-07-27T01:21:16.149671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f457745a73637349169fc822463b1faaab2d00180fb1cb1e915241252a2470

Aliases

arxiv: 2607.22353 · arxiv_version: 2607.22353v1 · doi: 10.48550/arxiv.2607.22353 · pith_short_12: 6L2FO5C2ONRX · pith_short_16: 6L2FO5C2ONRXGSIW · pith_short_8: 6L2FO5C2

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/6L2FO5C2ONRXGSIWT7ECERR3D6 \
  | 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: f2f457745a73637349169fc822463b1faaab2d00180fb1cb1e915241252a2470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc678cb6fd24b2a3b94412f8fd973a7b21072886953e5d98fcdd7b2938170f1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-24T14:34:48Z",
    "title_canon_sha256": "683e6d41893c9b7fea2c1f4e6e82cae3a483d87aa4c4d7c2f9f0d03f9c8b0c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22353",
    "kind": "arxiv",
    "version": 1
  }
}