Pith Number

pith:B7JAEDXD

pith:2025:B7JAEDXD7MHSTYSDYWTYHASEUB

not attested not anchored not stored refs pending

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives

Emre Sahinoglu, Shahin Shahrampour

arxiv:2509.11236 v1 · 2025-09-14 · cs.LG · 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{B7JAEDXD7MHSTYSDYWTYHASEUB}

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	2026-07-05T12:11:35.834725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd2020ee3fb0f29e243c5a7838244a0665f5a589c2ccc4c776707fb45394614

Aliases

arxiv: 2509.11236 · arxiv_version: 2509.11236v1 · doi: 10.48550/arxiv.2509.11236 · pith_short_12: B7JAEDXD7MHS · pith_short_16: B7JAEDXD7MHSTYSD · pith_short_8: B7JAEDXD

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/B7JAEDXD7MHSTYSDYWTYHASEUB \
  | 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: 0fd2020ee3fb0f29e243c5a7838244a0665f5a589c2ccc4c776707fb45394614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "940ff31f41226ccc6899d0e2642eda04ab44e3c28ce7f882037805476a38c9d7",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-14T12:27:31Z",
    "title_canon_sha256": "f6429c0f30391d18d374b76724a01f8ba6678c37a113edcf154e9f0a415b7432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11236",
    "kind": "arxiv",
    "version": 1
  }
}