Pith Number

pith:DVFY5ZWT

pith:2025:DVFY5ZWTCZNE634ST54Y6O45DV

not attested not anchored not stored refs pending

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems

Nguyen Duc Anh, Tran Ngoc Thang

arxiv:2502.02010 v1 · 2025-02-04 · 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{DVFY5ZWTCZNE634ST54Y6O45DV}

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	2026-07-05T10:09:22.281311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4b8ee6d3165a4f6f929f798f3b9d1d6565527527229ce7b4ac68b3df7c6f35

Aliases

arxiv: 2502.02010 · arxiv_version: 2502.02010v1 · doi: 10.48550/arxiv.2502.02010 · pith_short_12: DVFY5ZWTCZNE · pith_short_16: DVFY5ZWTCZNE634S · pith_short_8: DVFY5ZWT

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/DVFY5ZWTCZNE634ST54Y6O45DV \
  | 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: 1d4b8ee6d3165a4f6f929f798f3b9d1d6565527527229ce7b4ac68b3df7c6f35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b91d6bdafbe68bb60aa14207c965b361d6e7c6c68167d06ccc80643c49a137",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-04T04:58:09Z",
    "title_canon_sha256": "d0968d133fa2c4de8ec8a99f9a0c4aeef66b6f6c1e09d2d8e554a5cd0a423b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02010",
    "kind": "arxiv",
    "version": 1
  }
}