Pith Number

pith:WOGODOQ6

pith:2025:WOGODOQ6ML3GAK5MYGZWELUPTD

not attested not anchored not stored refs pending

Theoretical Analysis on how Learning Rate Warmup Accelerates Convergence

An Kang, Rui Pan, Tong Zhang, Yuxing Liu, Yuze Ge

arxiv:2509.07972 v1 · 2025-09-09 · cs.LG · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOGODOQ6ML3GAK5MYGZWELUPTD}

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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

2 papers in Pith

Avoiding Bias in Clipped SGD for Overparameterized Models under Generalized Smoothness

A Provably Robust Multi-Jet Framework applied to Active Flow Control of an Airfoil in Weakly Compressible Flow

Receipt and verification

First computed	2026-07-05T12:07:43.639882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b38ce1ba1e62f6602bacc1b3622e8f98ed4d9267e2b371c82984ca3d4c4e4b55

Aliases

arxiv: 2509.07972 · arxiv_version: 2509.07972v1 · doi: 10.48550/arxiv.2509.07972 · pith_short_12: WOGODOQ6ML3G · pith_short_16: WOGODOQ6ML3GAK5M · pith_short_8: WOGODOQ6

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/WOGODOQ6ML3GAK5MYGZWELUPTD \
  | 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: b38ce1ba1e62f6602bacc1b3622e8f98ed4d9267e2b371c82984ca3d4c4e4b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b503a2b192c6df6f1b7defe3b7e846adf60be34464318c9a14e7dba88865e59",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-09T17:56:03Z",
    "title_canon_sha256": "a2550ff37db9b288cbbdbecb27b3aa8a003bc5d28fd9ff4e5196c7bdaa97f490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07972",
    "kind": "arxiv",
    "version": 1
  }
}