Pith Number

pith:DO5HVVT6

pith:2021:DO5HVVT6LLWX4YLHPUGFLLYZKB

not attested not anchored not stored refs pending

From the Greene--Wu Convolution to Gradient Estimation over Riemannian Manifolds

Didong Li, Tianyu Wang, Yifeng Huang

arxiv:2108.07406 v4 · 2021-08-17 · cs.LG · cs.NA · math.NA · 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{DO5HVVT6LLWX4YLHPUGFLLYZKB}

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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.

Cited by

1 paper in Pith

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach

Receipt and verification

First computed	2026-07-05T03:50:36.118102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bba7ad67e5aed7e61677d0c55af1950463f08822ee5389d68ec6fa79d3d7b76

Aliases

arxiv: 2108.07406 · arxiv_version: 2108.07406v4 · doi: 10.48550/arxiv.2108.07406 · pith_short_12: DO5HVVT6LLWX · pith_short_16: DO5HVVT6LLWX4YLH · pith_short_8: DO5HVVT6

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/DO5HVVT6LLWX4YLHPUGFLLYZKB \
  | 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: 1bba7ad67e5aed7e61677d0c55af1950463f08822ee5389d68ec6fa79d3d7b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa6d22159f5288d18ff844501492ba8062c2003624aa513e1e94e454ef4a151",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-17T02:16:15Z",
    "title_canon_sha256": "e6861f66767ff857f804ef3da05833c38a8c3985f63494e1f078f01609f114b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07406",
    "kind": "arxiv",
    "version": 4
  }
}