Pith Number

pith:KSZWP6ZX

pith:2026:KSZWP6ZXER4XLAS7GIFWJXVVW2

not attested not anchored not stored refs pending

Diffeomorphic Logarithm of Special Orthogonal Matrices

Kyle A. Gallivan, P.-A. Absil, Wen Huang, Zhifeng Deng

arxiv:2606.19223 v1 · 2026-06-17 · 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{KSZWP6ZXER4XLAS7GIFWJXVVW2}

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	2026-06-19T16:12:08.192674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b367fb37247975825f320b64deb5b68218f75c0c72d1f1fd81a57a165b2863

Aliases

arxiv: 2606.19223 · arxiv_version: 2606.19223v1 · doi: 10.48550/arxiv.2606.19223 · pith_short_12: KSZWP6ZXER4X · pith_short_16: KSZWP6ZXER4XLAS7 · pith_short_8: KSZWP6ZX

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/KSZWP6ZXER4XLAS7GIFWJXVVW2 \
  | 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: 54b367fb37247975825f320b64deb5b68218f75c0c72d1f1fd81a57a165b2863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e55094916577f62c571c7be0ccdd459ba450a64d9916d68d169f8038d7c7de2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-17T16:00:29Z",
    "title_canon_sha256": "02da84a3dc4520741a2192e58c480834a4c126b45df57e2bcf9ec42e744b73ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19223",
    "kind": "arxiv",
    "version": 1
  }
}