Pith Number

pith:NXO5TCEU

pith:2025:NXO5TCEUVE2ARD5INR4OQWWGVA

not attested not anchored not stored refs pending

A Fully Adaptive Frank-Wolfe Algorithm for Relatively Smooth Problems and Its Application to Centralized Distributed Optimization

A.A. Vyguzov, F.S. Stonyakin

arxiv:2507.05669 v2 · 2025-07-08 · 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{NXO5TCEUVE2ARD5INR4OQWWGVA}

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	2026-07-05T11:59:17.168667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dddd98894a934088fa86c78e85ac6a8077f9e0fe3a071c420cda97eb30efd4f

Aliases

arxiv: 2507.05669 · arxiv_version: 2507.05669v2 · doi: 10.48550/arxiv.2507.05669 · pith_short_12: NXO5TCEUVE2A · pith_short_16: NXO5TCEUVE2ARD5I · pith_short_8: NXO5TCEU

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/NXO5TCEUVE2ARD5INR4OQWWGVA \
  | 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: 6dddd98894a934088fa86c78e85ac6a8077f9e0fe3a071c420cda97eb30efd4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b77df374887efa622bcd540acccca1e0bc7fcc0c7ff9322be1e90ca120a728",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-08T04:53:21Z",
    "title_canon_sha256": "591d71f9a83226a23ec3e3754f1397057981e579ad5f222afad41c87de8dfedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05669",
    "kind": "arxiv",
    "version": 2
  }
}