Pith Number

pith:PXAAB3QK

pith:2018:PXAAB3QK6CPDXJW6BTHSUN47QK

not attested not anchored not stored refs pending

$p$-adic singular integral and their commutator in generalized Morrey space

Huixia Mo, Liu Yang, Zhe Han

arxiv:1811.11588 v1 · 2018-11-28 · 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{PXAAB3QK6CPDXJW6BTHSUN47QK}

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	2026-05-17T23:59:40.613519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc000ee0af09e3ba6de0ccf2a379f828ffe29d9d47d90a631888470f4d3159f

Aliases

arxiv: 1811.11588 · arxiv_version: 1811.11588v1 · doi: 10.48550/arxiv.1811.11588 · pith_short_12: PXAAB3QK6CPD · pith_short_16: PXAAB3QK6CPDXJW6 · pith_short_8: PXAAB3QK

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/PXAAB3QK6CPDXJW6BTHSUN47QK \
  | 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: 7dc000ee0af09e3ba6de0ccf2a379f828ffe29d9d47d90a631888470f4d3159f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856a4085b20217398d0d69a43165ac9472da55edcd30658aaa3fc6995f810a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-28T14:29:33Z",
    "title_canon_sha256": "6a632f43b9bd660dd80a0aa14271689fb501477e2e17ec3a8604b87b19266a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11588",
    "kind": "arxiv",
    "version": 1
  }
}