Pith Number

pith:BV46NDWJ

pith:2026:BV46NDWJATF2OHM5YJLJBEBTUJ

not attested not anchored not stored refs pending

Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions

Emre Sahinoglu, Shahin Shahrampour, Zhanyuan Cai

arxiv:2607.20316 v1 · 2026-07-22 · 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{BV46NDWJATF2OHM5YJLJBEBTUJ}

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	2026-07-23T01:25:13.973270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d79e68ec904cba71d9dc256909033a251dc1957336efd421ad6c739fbeeeb97

Aliases

arxiv: 2607.20316 · arxiv_version: 2607.20316v1 · doi: 10.48550/arxiv.2607.20316 · pith_short_12: BV46NDWJATF2 · pith_short_16: BV46NDWJATF2OHM5 · pith_short_8: BV46NDWJ

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/BV46NDWJATF2OHM5YJLJBEBTUJ \
  | 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: 0d79e68ec904cba71d9dc256909033a251dc1957336efd421ad6c739fbeeeb97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46cf8ae74b690c4932214c876cc99916d97cae9b2ad9b7fa0aeba14551cd8519",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-22T16:03:43Z",
    "title_canon_sha256": "51a9b679a0d0736d2c79b96cd81f1c71dd21581bd1e38cc932e2fa24083d2813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20316",
    "kind": "arxiv",
    "version": 1
  }
}