Pith Number

pith:M242VLSQ

pith:2018:M242VLSQCDQGRVLS37W2PATRQQ

not attested not anchored not stored refs pending

Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

Igor E. Verbitsky

arxiv:1812.03418 v1 · 2018-12-09 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M242VLSQCDQGRVLS37W2PATRQQ}

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	2026-05-17T23:58:46.313147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b9aaae5010e068d572dfeda78271843e3c707617a055ba5c1651b573cf43bd

Aliases

arxiv: 1812.03418 · arxiv_version: 1812.03418v1 · doi: 10.48550/arxiv.1812.03418 · pith_short_12: M242VLSQCDQG · pith_short_16: M242VLSQCDQGRVLS · pith_short_8: M242VLSQ

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/M242VLSQCDQGRVLS37W2PATRQQ \
  | 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: 66b9aaae5010e068d572dfeda78271843e3c707617a055ba5c1651b573cf43bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2eaee6df914371e97f8e1ede34522d41d19c488ab001e5d3f9ca4f03d08f39",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-09T02:42:14Z",
    "title_canon_sha256": "c89e5a832e5bea06252f7bf2f95a94092372895ba9cf47c1934fa0af4cb8a766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03418",
    "kind": "arxiv",
    "version": 1
  }
}