Pith Number

pith:3OSMFS2D

pith:2024:3OSMFS2DUHLKQJYGNXKV7QXC3J

not attested not anchored not stored refs pending

An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics

Nina Miolane, Ralf Zimmermann, Simon Mataigne

arxiv:2403.11730 v2 · 2024-03-18 · math.NA · cs.NA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OSMFS2DUHLKQJYGNXKV7QXC3J}

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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

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds

Receipt and verification

First computed	2026-07-05T09:54:25.404953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba4c2cb43a1d6a827066dd55fc2e2da79ab8079b9b2b9e04b216997721f65d7

Aliases

arxiv: 2403.11730 · arxiv_version: 2403.11730v2 · doi: 10.48550/arxiv.2403.11730 · pith_short_12: 3OSMFS2DUHLK · pith_short_16: 3OSMFS2DUHLKQJYG · pith_short_8: 3OSMFS2D

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/3OSMFS2DUHLKQJYGNXKV7QXC3J \
  | 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: dba4c2cb43a1d6a827066dd55fc2e2da79ab8079b9b2b9e04b216997721f65d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce9c09efb2cb14bbdb9accd829fb90691a26bf2ad2c4ab3b1c46a2330825449",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-03-18T12:39:58Z",
    "title_canon_sha256": "7facf5b54cab8877d011ca2d29ce2e83f02dd272191a3b3e1dfc86ed7b1031cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.11730",
    "kind": "arxiv",
    "version": 2
  }
}