Pith Number

pith:EOCGOSUT

pith:2025:EOCGOSUTRQCUDJHODY3326NPL2

not attested not anchored not stored refs pending

Sobolev regularity for the nonlocal $(1, p)$-Laplace equations in the superquadratic case

Chao Zhang, Dingding Li

arxiv:2505.23288 v1 · 2025-05-29 · 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{EOCGOSUTRQCUDJHODY3326NPL2}

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	2026-07-05T11:11:58.987559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2384674a938c0541a4ee1e37bd79af5eb87a27fbc53ca842bfd401a4fe5c12c9

Aliases

arxiv: 2505.23288 · arxiv_version: 2505.23288v1 · doi: 10.48550/arxiv.2505.23288 · pith_short_12: EOCGOSUTRQCU · pith_short_16: EOCGOSUTRQCUDJHO · pith_short_8: EOCGOSUT

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/EOCGOSUTRQCUDJHODY3326NPL2 \
  | 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: 2384674a938c0541a4ee1e37bd79af5eb87a27fbc53ca842bfd401a4fe5c12c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bdfd4c82a849bf3e42ead0cca6c5f697cb9ca570f27ce7a717aefafda36473e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-29T09:40:12Z",
    "title_canon_sha256": "a655a0985c1a464116e19eb86d1109a26f9819b78faada7e6c785827d7243063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23288",
    "kind": "arxiv",
    "version": 1
  }
}