Pith Number

pith:7B6CZRJH

pith:2024:7B6CZRJH3KE4S3P6ZN6I42U3JX

not attested not anchored not stored refs pending

Convergence Rate of Projected Subgradient Method with Time-varying Step-sizes

Yanhao Zhang, Yong Xia, Zhihan Zhu

arxiv:2402.10221 v1 · 2024-01-23 · 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{7B6CZRJH3KE4S3P6ZN6I42U3JX}

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	2026-06-19T16:12:12.464093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87c2cc527da89c96dfecb7c8e6a9b4dd0ae6d82285e013b5d9406554c68fdf5

Aliases

arxiv: 2402.10221 · arxiv_version: 2402.10221v1 · doi: 10.48550/arxiv.2402.10221 · pith_short_12: 7B6CZRJH3KE4 · pith_short_16: 7B6CZRJH3KE4S3P6 · pith_short_8: 7B6CZRJH

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/7B6CZRJH3KE4S3P6ZN6I42U3JX \
  | 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: f87c2cc527da89c96dfecb7c8e6a9b4dd0ae6d82285e013b5d9406554c68fdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301d6333f9bdd0d08acc75853b9dd8718f8759d2a7d244dfce81a1b0ef8c245b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-01-23T04:16:25Z",
    "title_canon_sha256": "11a257afa49f040c9d81c16e01f047173dadca8e919946be5da43f021cfc86c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10221",
    "kind": "arxiv",
    "version": 1
  }
}