Pith Number

pith:3RPFO3XE

pith:2023:3RPFO3XEBVSKBOIUMYJH5XSVON

not attested not anchored not stored refs pending

An extension problem for the logarithmic Laplacian

Daniel Hauer, Huyuan Chen, Tobias Weth

arxiv:2312.15689 v1 · 2023-12-25 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RPFO3XEBVSKBOIUMYJH5XSVON}

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

4 papers in Pith

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues

Spectral Properties of the Logarithmic Laplacian with Indefinite Weights

On the fractional logarithmic $p$-Laplacian

$s$-harmonic functions in the small order limit

Receipt and verification

First computed	2026-07-05T07:27:59.778777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5e576ee40d64a0b91466127ede55735a2271711ab85eca0682bae86a52becb

Aliases

arxiv: 2312.15689 · arxiv_version: 2312.15689v1 · doi: 10.48550/arxiv.2312.15689 · pith_short_12: 3RPFO3XEBVSK · pith_short_16: 3RPFO3XEBVSKBOIU · pith_short_8: 3RPFO3XE

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/3RPFO3XEBVSKBOIUMYJH5XSVON \
  | 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: dc5e576ee40d64a0b91466127ede55735a2271711ab85eca0682bae86a52becb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "363bc3afb6f6afccf90a0cae36c0d5869e5b6d96d699a24549aea5cd252df075",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-25T10:39:14Z",
    "title_canon_sha256": "2016123dc51b24dfeef5119d73b09e2d850f483cfa1c33878d05b8606370c4b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15689",
    "kind": "arxiv",
    "version": 1
  }
}