Pith Number

pith:I7DXBJXF

pith:2026:I7DXBJXFAXNLSCRTTG5BEJ5GO7

not attested not anchored not stored refs pending

An new polar factor retraction on the Stiefel manifold with closed-form inverse

Ralf Zimmermann, Rasmus Jensen

arxiv:2602.19923 v2 · 2026-02-23 · 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{I7DXBJXFAXNLSCRTTG5BEJ5GO7}

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	2026-07-02T01:18:06.891827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c770a6e505dab90a3399ba1227a677fa9358c0cb7858e6eedc78d8e6320d5c

Aliases

arxiv: 2602.19923 · arxiv_version: 2602.19923v2 · doi: 10.48550/arxiv.2602.19923 · pith_short_12: I7DXBJXFAXNL · pith_short_16: I7DXBJXFAXNLSCRT · pith_short_8: I7DXBJXF

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/I7DXBJXFAXNLSCRTTG5BEJ5GO7 \
  | 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: 47c770a6e505dab90a3399ba1227a677fa9358c0cb7858e6eedc78d8e6320d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4934f6de6605564b557a14a342c0cc05eabf4a80cfa6ed2ffc741204e1f5c5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-02-23T15:02:17Z",
    "title_canon_sha256": "9a16fa9c97070af60ff9247f18f09af96eda9c890c894e75ef5c1c278ba499c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.19923",
    "kind": "arxiv",
    "version": 2
  }
}