Pith Number

pith:UK65SKER

pith:2024:UK65SKER4LZB5FD3FDRUWREJRP

not attested not anchored not stored refs pending

Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers

Kazumasa Narita

arxiv:2411.17078 v5 · 2024-11-26 · 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{UK65SKER4LZB5FD3FDRUWREJRP}

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.

Cited by

2 papers in Pith

The horizontal Laplacian of a Riemannian submersion with totally geodesic fibers and an integrable horizontal distribution

Explicit Laplace Spectra of Homogeneous Principal Bundles

Receipt and verification

First computed	2026-07-05T11:09:44.089244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bdd92891e2f21e947b28e34b44898bf2d9512cafb6d2ca6f1fbd0d0712ad2f

Aliases

arxiv: 2411.17078 · arxiv_version: 2411.17078v5 · doi: 10.48550/arxiv.2411.17078 · pith_short_12: UK65SKER4LZB · pith_short_16: UK65SKER4LZB5FD3 · pith_short_8: UK65SKER

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/UK65SKER4LZB5FD3FDRUWREJRP \
  | 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: a2bdd92891e2f21e947b28e34b44898bf2d9512cafb6d2ca6f1fbd0d0712ad2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5779b6b6a850eb6bc34ba0b383adc6359a0a14d865850b5b7d1fd8f7bc26d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-26T03:31:34Z",
    "title_canon_sha256": "6fd17716874ffa322ff20a11d6502ec414fc0fb2efc659136a1289f2ea4e155c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17078",
    "kind": "arxiv",
    "version": 5
  }
}