Pith Number

pith:WHD2SMLR

pith:2018:WHD2SMLRYMZFTDUJ6OQD5N5CTE

not attested not anchored not stored refs pending

Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients

Karthik Adimurthi, Nguyen Cong Phuc, Tadele Mengesha

arxiv:1806.00423 v1 · 2018-06-01 · 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{WHD2SMLRYMZFTDUJ6OQD5N5CTE}

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	2026-05-18T00:14:23.716756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c7a93171c332598e89f3a03eb7a2993335e0e69cf7f4a32e0e75a12c03a6eb

Aliases

arxiv: 1806.00423 · arxiv_version: 1806.00423v1 · doi: 10.48550/arxiv.1806.00423 · pith_short_12: WHD2SMLRYMZF · pith_short_16: WHD2SMLRYMZFTDUJ · pith_short_8: WHD2SMLR

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/WHD2SMLRYMZFTDUJ6OQD5N5CTE \
  | 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: b1c7a93171c332598e89f3a03eb7a2993335e0e69cf7f4a32e0e75a12c03a6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9ccbf1257aa8cf39386bdee3a2fc2dbdb485b82faa761f709d60bed9cfefb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-01T16:22:16Z",
    "title_canon_sha256": "06f167538b1d4c5801a93374e40394a6443c8dedd254cd95a7dc45b03b86728b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00423",
    "kind": "arxiv",
    "version": 1
  }
}