Pith Number

pith:63IMGN6K

pith:2025:63IMGN6K5JTS4ZHTQT2F3BRCCX

not attested not anchored not stored refs pending

On the Convergence and Complexity of Proximal Gradient and Accelerated Proximal Gradient Methods under Adaptive Gradient Estimation

Raghu Bollapragada, Shagun Gupta

arxiv:2507.14479 v1 · 2025-07-19 · 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{63IMGN6K5JTS4ZHTQT2F3BRCCX}

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	2026-07-05T11:40:07.855132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d0c337caea672e64f384f45d862215f0ffea02d9fdf94e31d4dfa3e331eb50

Aliases

arxiv: 2507.14479 · arxiv_version: 2507.14479v1 · doi: 10.48550/arxiv.2507.14479 · pith_short_12: 63IMGN6K5JTS · pith_short_16: 63IMGN6K5JTS4ZHT · pith_short_8: 63IMGN6K

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/63IMGN6K5JTS4ZHTQT2F3BRCCX \
  | 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: f6d0c337caea672e64f384f45d862215f0ffea02d9fdf94e31d4dfa3e331eb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7b27bf70df04e0ae844840a91a4e59ea2cd472482513b26ca539779e3f3f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-19T04:30:33Z",
    "title_canon_sha256": "3af68bd44eee7d1ae6b363970e6b5bb13a6de43abe9e083f0823ac2267e092d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14479",
    "kind": "arxiv",
    "version": 1
  }
}