Pith Number

pith:5JRYYR6W

pith:2023:5JRYYR6WOTLL4VWXU6GGW5F4DE

not attested not anchored not stored refs pending

Det-CGD: Compressed Gradient Descent with Matrix Stepsizes for Non-Convex Optimization

Avetik Karagulyan, Hanmin Li, Peter Richt\'arik

arxiv:2305.12568 v2 · 2023-05-21 · 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{5JRYYR6WOTLL4VWXU6GGW5F4DE}

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	2026-07-05T08:10:13.920572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea638c47d674d6be56d7a78c6b74bc1931fd044cf0f7628392d899564ef82d53

Aliases

arxiv: 2305.12568 · arxiv_version: 2305.12568v2 · doi: 10.48550/arxiv.2305.12568 · pith_short_12: 5JRYYR6WOTLL · pith_short_16: 5JRYYR6WOTLL4VWX · pith_short_8: 5JRYYR6W

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/5JRYYR6WOTLL4VWXU6GGW5F4DE \
  | 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: ea638c47d674d6be56d7a78c6b74bc1931fd044cf0f7628392d899564ef82d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6520641ed77e426bf21020a24a5493c49488a9bf9b308b345d104b54b310d832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-21T21:09:53Z",
    "title_canon_sha256": "12e5f64c8a160dd225918099615dd24c5f4ca70954ccdb9ce143616cecaa0496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12568",
    "kind": "arxiv",
    "version": 2
  }
}