Pith Number

pith:2MALCWUG

pith:2016:2MALCWUGGUDXYJ6PJRB5I6MMNC

not attested not anchored not stored refs pending

$L^p$ Hardy inequality on $C^{1,\gamma}$ domains

Pier Domenico Lamberti, Yehuda Pinchover

arxiv:1611.00563 v2 · 2016-11-02 · 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{2MALCWUGGUDXYJ6PJRB5I6MMNC}

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	2026-05-18T00:28:56.768692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d300b15a8635077c27cf4c43d4798c689e0bf43cae311ebd2bc2ec7ba0bbc998

Aliases

arxiv: 1611.00563 · arxiv_version: 1611.00563v2 · doi: 10.48550/arxiv.1611.00563 · pith_short_12: 2MALCWUGGUDX · pith_short_16: 2MALCWUGGUDXYJ6P · pith_short_8: 2MALCWUG

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/2MALCWUGGUDXYJ6PJRB5I6MMNC \
  | 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: d300b15a8635077c27cf4c43d4798c689e0bf43cae311ebd2bc2ec7ba0bbc998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5e75bdf46b16242f6dc6cc26dd6685ae4a25020053fc4c2ffcb3719934a8b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-02T12:03:27Z",
    "title_canon_sha256": "5d554deb8a60403338041e846554c1e07e87459d01e87764ff3f06868be2c0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00563",
    "kind": "arxiv",
    "version": 2
  }
}