Pith Number

pith:JD4V2ZQA

pith:2018:JD4V2ZQAPEICLPQEQT3YWIWI7O

not attested not anchored not stored refs pending

Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature

L. F. Prudente, M. S. Louzeiro, O. P. Ferreira

arxiv:1806.02694 v1 · 2018-06-07 · 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{JD4V2ZQAPEICLPQEQT3YWIWI7O}

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	2026-05-18T00:13:55.932767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f95d6600791025be0484f78b22c8fbaed60ffbfbd1347cf07f5611a28d4f87

Aliases

arxiv: 1806.02694 · arxiv_version: 1806.02694v1 · doi: 10.48550/arxiv.1806.02694 · pith_short_12: JD4V2ZQAPEIC · pith_short_16: JD4V2ZQAPEICLPQE · pith_short_8: JD4V2ZQA

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/JD4V2ZQAPEICLPQEQT3YWIWI7O \
  | 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: 48f95d6600791025be0484f78b22c8fbaed60ffbfbd1347cf07f5611a28d4f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3127c17e8e3abcb8e802cedf9458017f7d67d1434844eb46cf9791b96c0f8366",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-07T14:14:23Z",
    "title_canon_sha256": "7b0b914f0a7be3dd766bec54adde73badfd3cfecc580486d7b8486bd1e7f3ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02694",
    "kind": "arxiv",
    "version": 1
  }
}