Pith Number

pith:M2WXL66Y

pith:2025:M2WXL66YRGZ4WEKESSAB3HFQOA

not attested not anchored not stored refs pending

Decentralized Relaxed Smooth Optimization with Gradient Descent Methods

Aditya Balu, Soumik Sarkar, Zhanhong Jiang

arxiv:2508.08413 v1 · 2025-08-11 · 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{M2WXL66YRGZ4WEKESSAB3HFQOA}

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	2026-07-05T11:52:27.721382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ad75fbd889b3cb114494801d9cb070135dd61242536e3e7e2e2d69de362f79

Aliases

arxiv: 2508.08413 · arxiv_version: 2508.08413v1 · doi: 10.48550/arxiv.2508.08413 · pith_short_12: M2WXL66YRGZ4 · pith_short_16: M2WXL66YRGZ4WEKE · pith_short_8: M2WXL66Y

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/M2WXL66YRGZ4WEKESSAB3HFQOA \
  | 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: 66ad75fbd889b3cb114494801d9cb070135dd61242536e3e7e2e2d69de362f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84248108934f344977aa507dcbb884a5ce6b7510c4aa48f89e585697e2e64cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-11T19:07:30Z",
    "title_canon_sha256": "1181dfbec2d1b4438a218724455d8be85d161c46bd0dc4b12230975385f7d492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08413",
    "kind": "arxiv",
    "version": 1
  }
}