Pith Number

pith:BIBEGFED

pith:2025:BIBEGFEDT6IHZF4JGQZ72S25UT

not attested not anchored not stored refs pending

A Hybrid Stochastic Gradient Tracking Method for Distributed Online Optimization Over Time-Varying Directed Networks

Guanghui Wen, Longkang Zhu, Xingxing Yuan, Xinli Shi

arxiv:2508.20645 v1 · 2025-08-28 · cs.LG · cs.DC · 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{BIBEGFEDT6IHZF4JGQZ72S25UT}

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	2026-07-05T12:00:56.687949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a024314839f907c97893433fd4b5da4f9c669d558beaa1fac2422d5f1ec08e6

Aliases

arxiv: 2508.20645 · arxiv_version: 2508.20645v1 · doi: 10.48550/arxiv.2508.20645 · pith_short_12: BIBEGFEDT6IH · pith_short_16: BIBEGFEDT6IHZF4J · pith_short_8: BIBEGFED

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/BIBEGFEDT6IHZF4JGQZ72S25UT \
  | 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: 0a024314839f907c97893433fd4b5da4f9c669d558beaa1fac2422d5f1ec08e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d82aadc3f173c21576ed81019d143db2ff60ca111fc0b13d269de8e107b4cf6",
    "cross_cats_sorted": [
      "cs.DC",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-28T10:47:18Z",
    "title_canon_sha256": "dc9556174e1daee5a8498ce78361cc39f62fb798e391f424de45b6fae39ae3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20645",
    "kind": "arxiv",
    "version": 1
  }
}