Pith Number

pith:DRAXUPGL

pith:2025:DRAXUPGLJRKYHTAG5QGIYUPQFI

not attested not anchored not stored refs pending

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds

Emre Sahinoglu, Shahin Shahrampour

arxiv:2509.07779 v2 · 2025-09-09 · math.OC · cs.LG · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRAXUPGLJRKYHTAG5QGIYUPQFI}

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	2026-06-09T01:05:09.259192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c417a3ccb4c5583cc06ec0c8c51f02a1586998ea1226eea14ddd290b71b3f7b

Aliases

arxiv: 2509.07779 · arxiv_version: 2509.07779v2 · doi: 10.48550/arxiv.2509.07779 · pith_short_12: DRAXUPGLJRKY · pith_short_16: DRAXUPGLJRKYHTAG · pith_short_8: DRAXUPGL

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/DRAXUPGLJRKYHTAG5QGIYUPQFI \
  | 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: 1c417a3ccb4c5583cc06ec0c8c51f02a1586998ea1226eea14ddd290b71b3f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87f71c41448420458a54acf7e068c57207474e13c0c3a5b76f40c6aa0ae3adc",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-09T14:14:46Z",
    "title_canon_sha256": "a39117c9acd9ff0c3a617fd1190caed037f253c224dd67eff2ea5fb438f90057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07779",
    "kind": "arxiv",
    "version": 2
  }
}