Pith Number

pith:L2EZOSTH

pith:2015:L2EZOSTHP6EMIJQISOTNKK7VV7

not attested not anchored not stored refs pending

Weighted $L^p$ Estimates of Kato Square Roots Associated to Degenerate Elliptic Operators

Dachun Yang, Junqiang Zhang

arxiv:1509.05478 v1 · 2015-09-18 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2EZOSTHP6EMIJQISOTNKK7VV7}

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	2026-05-18T01:32:43.069084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e89974a677f88c4260893a6d52bf5aff07ff695872d0a968130b4cd3c2cd57c

Aliases

arxiv: 1509.05478 · arxiv_version: 1509.05478v1 · doi: 10.48550/arxiv.1509.05478 · pith_short_12: L2EZOSTHP6EM · pith_short_16: L2EZOSTHP6EMIJQI · pith_short_8: L2EZOSTH

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/L2EZOSTHP6EMIJQISOTNKK7VV7 \
  | 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: 5e89974a677f88c4260893a6d52bf5aff07ff695872d0a968130b4cd3c2cd57c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22710b297e7de1badcbbf08c0c26081a5d643a3a8b48e567c3776a04deb8302d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-18T00:19:58Z",
    "title_canon_sha256": "1fc5ec45bf58e503fbc25e985e456f41b8cbf205c0e9ad4efa1ef0f32ad522bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05478",
    "kind": "arxiv",
    "version": 1
  }
}