Pith Number

pith:WIBBBKC7

pith:2016:WIBBBKC7VZHCP6D5PZOQ2N2TMK

not attested not anchored not stored refs pending

A Remark on Global $W^{1,p}$ Bounds for Harmonic Functions with Lipschitz Boundary Values

Nikos Katzourakis (Reading, UK)

arxiv:1601.00190 v2 · 2016-01-02 · 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{WIBBBKC7VZHCP6D5PZOQ2N2TMK}

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	2026-05-18T01:11:38.537039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b20210a85fae4e27f87d7e5d0d375362af6072b50fe9ea2fb01971352113a9a3

Aliases

arxiv: 1601.00190 · arxiv_version: 1601.00190v2 · doi: 10.48550/arxiv.1601.00190 · pith_short_12: WIBBBKC7VZHC · pith_short_16: WIBBBKC7VZHCP6D5 · pith_short_8: WIBBBKC7

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/WIBBBKC7VZHCP6D5PZOQ2N2TMK \
  | 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: b20210a85fae4e27f87d7e5d0d375362af6072b50fe9ea2fb01971352113a9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84e5ceba017f83f3b9b1079da7ea6d9d48a4795c4153ba1a5d665403015708b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-02T17:20:29Z",
    "title_canon_sha256": "bbaa6abe8dd80715911d1bbc6164dacec086869b5f8dd1b98f17640bacdafd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00190",
    "kind": "arxiv",
    "version": 2
  }
}