Pith Number

pith:EPM7FH4A

pith:2019:EPM7FH4ARN6I25H3PWTCPMKALW

not attested not anchored not stored refs pending

Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes

Juan Gao, Peng Yang, Xinwei Liu, Yakui Huang, Yu-Hong Dai

arxiv:1907.07852 v1 · 2019-07-18 · 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{EPM7FH4ARN6I25H3PWTCPMKALW}

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	2026-05-17T23:40:15.982926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d9f29f808b7c8d74fb7da627b1405db6562be0b425f3f2e13e70ee1ed56c5a

Aliases

arxiv: 1907.07852 · arxiv_version: 1907.07852v1 · doi: 10.48550/arxiv.1907.07852 · pith_short_12: EPM7FH4ARN6I · pith_short_16: EPM7FH4ARN6I25H3 · pith_short_8: EPM7FH4A

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/EPM7FH4ARN6I25H3PWTCPMKALW \
  | 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: 23d9f29f808b7c8d74fb7da627b1405db6562be0b425f3f2e13e70ee1ed56c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4474a088d80f9fff3ce00e49928e672dafd7d57d0b8ecdf06692d9f57da8bb14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-18T03:05:12Z",
    "title_canon_sha256": "a6cc8655585ff0871c984eeaf1060ceca48d756421e94dd1d0c30fefddcd05d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07852",
    "kind": "arxiv",
    "version": 1
  }
}