Pith Number

pith:OA2LBPHP

pith:2026:OA2LBPHPPJ47PXZYBARGDCJRR6

not attested not anchored not stored refs pending

Explicit Convergence Regions of PID-Damped Accelerated Gradient Methods in Nonconvex Optimization

Ailun Jian, Gaohang Yu, Weigang Sun, Xun Li

arxiv:2606.07340 v1 · 2026-06-05 · 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{OA2LBPHPPJ47PXZYBARGDCJRR6}

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	2026-06-08T01:05:20.667868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7034b0bcef7a79f7df3808226189318fb14393abf9de853246f540fe1eb9f1f3

Aliases

arxiv: 2606.07340 · arxiv_version: 2606.07340v1 · doi: 10.48550/arxiv.2606.07340 · pith_short_12: OA2LBPHPPJ47 · pith_short_16: OA2LBPHPPJ47PXZY · pith_short_8: OA2LBPHP

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/OA2LBPHPPJ47PXZYBARGDCJRR6 \
  | 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: 7034b0bcef7a79f7df3808226189318fb14393abf9de853246f540fe1eb9f1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c5606f90aabf33d6b8e75f1dfcb09adc01116c228d701897aff2edb66f3455",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-05T14:52:14Z",
    "title_canon_sha256": "cf8ae62c3a3f7421efd8f350b05acaa91adb6a005d79d4ffe0a16513c49a08fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07340",
    "kind": "arxiv",
    "version": 1
  }
}