Pith Number

pith:CEWJIPWC

pith:2024:CEWJIPWCPOXYOC6YOI5VDG4S2H

not attested not anchored not stored refs pending

Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces

Ariel Salort, Pablo Ochoa

arxiv:2411.13498 v1 · 2024-11-20 · 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{CEWJIPWCPOXYOC6YOI5VDG4S2H}

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	2026-07-05T09:38:18.208086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112c943ec27baf870bd8723b519b92d1e6e61974279726ae3f1b713c4d4361ef

Aliases

arxiv: 2411.13498 · arxiv_version: 2411.13498v1 · doi: 10.48550/arxiv.2411.13498 · pith_short_12: CEWJIPWCPOXY · pith_short_16: CEWJIPWCPOXYOC6Y · pith_short_8: CEWJIPWC

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/CEWJIPWCPOXYOC6YOI5VDG4S2H \
  | 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: 112c943ec27baf870bd8723b519b92d1e6e61974279726ae3f1b713c4d4361ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb04312803c173682c7e55f8912685cfbd8510b8c583bf2e52b108884b08f33e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-20T17:46:29Z",
    "title_canon_sha256": "7011117d8e385ffb6eedcba3fa445724a1748acc1a84ae7284952d6e06416350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13498",
    "kind": "arxiv",
    "version": 1
  }
}