Pith Number

pith:YJNPELZ5

pith:2026:YJNPELZ5AHBNF6PCK5CKX35FTC

not attested not anchored not stored refs pending

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold

Hiroyuki Sato

arxiv:2603.07133 v2 · 2026-03-07 · 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{YJNPELZ5AHBNF6PCK5CKX35FTC}

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	2026-07-28T01:22:31.004662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c25af22f3d01c2d2f9e25744abefa598b9735e46c9449bb251d7d38cfb69f180

Aliases

arxiv: 2603.07133 · arxiv_version: 2603.07133v2 · doi: 10.48550/arxiv.2603.07133 · pith_short_12: YJNPELZ5AHBN · pith_short_16: YJNPELZ5AHBNF6PC · pith_short_8: YJNPELZ5

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/YJNPELZ5AHBNF6PCK5CKX35FTC \
  | 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: c25af22f3d01c2d2f9e25744abefa598b9735e46c9449bb251d7d38cfb69f180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c968d009f6a6df6c4456a03b830f299dffe680acd0f1c02f202b9ef092c0021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-03-07T09:49:54Z",
    "title_canon_sha256": "b5a850606c455c8af3d6e7f073d31196920c65dcb0edeac790f847b0c3db6875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07133",
    "kind": "arxiv",
    "version": 2
  }
}