Pith Number

pith:ZWZLVCLC

pith:2025:ZWZLVCLCVII5WTOBFDHNPZXRZ7

not attested not anchored not stored refs pending

Logarithmic Laplacian on General Riemannian Manifolds

Rui Chen

arxiv:2506.19311 v1 · 2025-06-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWZLVCLCVII5WTOBFDHNPZXRZ7}

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

On $m$-order logarithmic Schr\"odinger operator

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues

Receipt and verification

First computed	2026-07-05T11:26:13.118755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb2ba8962aa11db4dc128ced7e6f1cfee08e2015ca1f0e1092ac8cf5d065ae9

Aliases

arxiv: 2506.19311 · arxiv_version: 2506.19311v1 · doi: 10.48550/arxiv.2506.19311 · pith_short_12: ZWZLVCLCVII5 · pith_short_16: ZWZLVCLCVII5WTOB · pith_short_8: ZWZLVCLC

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/ZWZLVCLCVII5WTOBFDHNPZXRZ7 \
  | 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: cdb2ba8962aa11db4dc128ced7e6f1cfee08e2015ca1f0e1092ac8cf5d065ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622f81ea710acdbe8dcdcb7ffea275bb516d49a9cc5e3dfce1f4129902408415",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-24T04:57:54Z",
    "title_canon_sha256": "15b1c28ade29b121c30e356b27a3bb95ea3c4e403dad06910a4df47e8f9a0d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19311",
    "kind": "arxiv",
    "version": 1
  }
}