Pith Number

pith:FM2IQRGD

pith:2025:FM2IQRGDESIWMGJRDEMXYYAJUO

not attested not anchored not stored refs pending

Negative Stepsizes Make Gradient-Descent-Ascent Converge

Henry Shugart, Jason M. Altschuler

arxiv:2505.01423 v2 · 2025-05-02 · math.OC · cs.DS · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM2IQRGDESIWMGJRDEMXYYAJUO}

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.

Cited by

3 papers in Pith

Lower Bounds for Anytime Acceleration of Gradient Descent

Stepsize Hedging: an Alternative Mechanism for Accelerating Gradient Descent

Negative Momentum for Convex-Concave Optimization

Receipt and verification

First computed	2026-06-30T01:17:23.221009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b348844c3249166193119197c6009a3912dfe0e145a4f184c93c6fda115dbe5

Aliases

arxiv: 2505.01423 · arxiv_version: 2505.01423v2 · doi: 10.48550/arxiv.2505.01423 · pith_short_12: FM2IQRGDESIW · pith_short_16: FM2IQRGDESIWMGJR · pith_short_8: FM2IQRGD

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/FM2IQRGDESIWMGJRDEMXYYAJUO \
  | 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: 2b348844c3249166193119197c6009a3912dfe0e145a4f184c93c6fda115dbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee496888d996c91fccf1179065aff5a5d8c52c32745ea90caab1e22b830f677",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-02T17:59:46Z",
    "title_canon_sha256": "33c4cca219715b4ca0b085fc7269780dbefdb1bbcbb0d6ae18a5b187e5f50f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01423",
    "kind": "arxiv",
    "version": 2
  }
}