Pith Number

pith:XZ6TSLL4

pith:2025:XZ6TSLL46PM4PEO3R43RXPW36C

not attested not anchored not stored refs pending

Higher Sobolev regularity on the mixed local and nonlocal p-Laplace equations

Chao Zhang, Dingding Li, Yuzhou Fang

arxiv:2501.09487 v1 · 2025-01-16 · 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{XZ6TSLL46PM4PEO3R43RXPW36C}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:01:47.848114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7d392d7cf3d9c791db8f371bbedbf0a5abe0e31e2937b189f102506ea31340

Aliases

arxiv: 2501.09487 · arxiv_version: 2501.09487v1 · doi: 10.48550/arxiv.2501.09487 · pith_short_12: XZ6TSLL46PM4 · pith_short_16: XZ6TSLL46PM4PEO3 · pith_short_8: XZ6TSLL4

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/XZ6TSLL46PM4PEO3R43RXPW36C \
  | 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: be7d392d7cf3d9c791db8f371bbedbf0a5abe0e31e2937b189f102506ea31340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcc00930262e0cefc1e8bee16a7f75c6eb80f4d3ffa7bff833408d6620177eed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-16T11:49:50Z",
    "title_canon_sha256": "d4a41bb3fe0241832a8fd29edcc7c7e2cafbc0b9852761354be1173c1c326e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09487",
    "kind": "arxiv",
    "version": 1
  }
}