Pith Number

pith:LQBNZMRL

pith:2018:LQBNZMRLX7NI2N5NLQAYYSHE35

not attested not anchored not stored refs pending

Weighted anisotropic Hardy and Rellich type inequalities for general vector fields

Bolys Sabitbek, Durvudkhan Suragan, Michael Ruzhansky

arxiv:1808.05532 v2 · 2018-08-16 · 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{LQBNZMRLX7NI2N5NLQAYYSHE35}

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	2026-05-18T00:07:54.684892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c02dcb22bbfda8d37ad5c018c48e4df7cfd357290d95ed96cff06909569722f

Aliases

arxiv: 1808.05532 · arxiv_version: 1808.05532v2 · doi: 10.48550/arxiv.1808.05532 · pith_short_12: LQBNZMRLX7NI · pith_short_16: LQBNZMRLX7NI2N5N · pith_short_8: LQBNZMRL

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/LQBNZMRLX7NI2N5NLQAYYSHE35 \
  | 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: 5c02dcb22bbfda8d37ad5c018c48e4df7cfd357290d95ed96cff06909569722f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03122f427e6ed86e513642d08d8cc9c3088bd3122dd2b869581e0a734816c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-16T15:07:50Z",
    "title_canon_sha256": "ea46a97d4c42fb993c1aa678685a97d0bc77f08d70455d886903947c01972b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05532",
    "kind": "arxiv",
    "version": 2
  }
}