Pith Number

pith:5SUEQSEN

pith:2017:5SUEQSENTHGUVKC2JL2VGW4LSX

not attested not anchored not stored refs pending

Primal-Dual Optimization Algorithms over Riemannian Manifolds: an Iteration Complexity Analysis

Junyu Zhang, Shiqian Ma, Shuzhong Zhang

arxiv:1710.02236 v1 · 2017-10-05 · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SUEQSENTHGUVKC2JL2VGW4LSX}

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	2026-05-18T00:33:34.067588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca848488d99cd4aa85a4af5535b8b95da4932ac9658e58483b98828b2156c22

Aliases

arxiv: 1710.02236 · arxiv_version: 1710.02236v1 · doi: 10.48550/arxiv.1710.02236 · pith_short_12: 5SUEQSENTHGU · pith_short_16: 5SUEQSENTHGUVKC2 · pith_short_8: 5SUEQSEN

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/5SUEQSENTHGUVKC2JL2VGW4LSX \
  | 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: eca848488d99cd4aa85a4af5535b8b95da4932ac9658e58483b98828b2156c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b966555df0f908f06a78d7d5ae58bd731bf298a0c1744edea109cdad9546f6e4",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-05T23:21:11Z",
    "title_canon_sha256": "f914daf2d080d5f0b4f81922d575316bcb790331079d8611dea0f02945e4987f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02236",
    "kind": "arxiv",
    "version": 1
  }
}