Pith Number

pith:TCOMGYXV

pith:2025:TCOMGYXVKBUHEZ3333JC6OWZC6

not attested not anchored not stored refs pending

Single-loop $\mathcal{O}(\epsilon^{-3})$ stochastic smoothing algorithms for nonsmooth Riemannian optimization

Kangkang Deng, Weihe Wu, Zheng Peng

arxiv:2505.09485 v2 · 2025-05-14 · 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{TCOMGYXVKBUHEZ3333JC6OWZC6}

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	2026-07-05T11:09:13.421435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989cc362f5506872677bded22f3ad917a865f3b6a8f51412fd0abc3319f6033d

Aliases

arxiv: 2505.09485 · arxiv_version: 2505.09485v2 · doi: 10.48550/arxiv.2505.09485 · pith_short_12: TCOMGYXVKBUH · pith_short_16: TCOMGYXVKBUHEZ33 · pith_short_8: TCOMGYXV

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/TCOMGYXVKBUHEZ3333JC6OWZC6 \
  | 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: 989cc362f5506872677bded22f3ad917a865f3b6a8f51412fd0abc3319f6033d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44face73f0b5d9cbbcc0404359175ddd913e80e7e11dffe46237fb34decdc48d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-14T15:36:49Z",
    "title_canon_sha256": "9b08a1e7a4d49aa34cfd6e01b646ba82c01d2a280e174fd471855f81febbbdbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09485",
    "kind": "arxiv",
    "version": 2
  }
}