Pith Number

pith:XPTMRGZS

pith:2024:XPTMRGZSN5ZAPGXXO2BGP6NERV

not attested not anchored not stored refs pending

Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods

Bin Gao, Nguyen Thanh Son, Tatjana Stykel

arxiv:2406.14299 v1 · 2024-06-20 · math.OC · cs.NA · math.NA · math.SG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPTMRGZSN5ZAPGXXO2BGP6NERV}

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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

2 papers in Pith

A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold

A generalized canonical metric for optimization on the indefinite Stiefel manifold

Receipt and verification

First computed	2026-07-05T08:34:48.997434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe6c89b326f72079af7768267f9a48d7f365e4682d06b0ca28bf955b7b11d1a

Aliases

arxiv: 2406.14299 · arxiv_version: 2406.14299v1 · doi: 10.48550/arxiv.2406.14299 · pith_short_12: XPTMRGZSN5ZA · pith_short_16: XPTMRGZSN5ZAPGXX · pith_short_8: XPTMRGZS

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/XPTMRGZSN5ZAPGXXO2BGP6NERV \
  | 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: bbe6c89b326f72079af7768267f9a48d7f365e4682d06b0ca28bf955b7b11d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566843807f20b150ece7071119d2f0701b5717cd64609cd6c6e5c4a3d42bfa6b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-20T13:26:06Z",
    "title_canon_sha256": "7409610cf3746b1c716a55de2b0874dab22311534b3c29923dd3b90c87632731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.14299",
    "kind": "arxiv",
    "version": 1
  }
}