Pith Number

pith:HTS5GRKH

pith:2014:HTS5GRKHSFWSPMGVBS6MAUDJ7N

not attested not anchored not stored refs pending

Compactness of commutators of multilinear singular integral operators with non-smooth kernels

Jiecheng Chen, Rui Bu

arxiv:1411.1905 v1 · 2014-11-07 · 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{HTS5GRKHSFWSPMGVBS6MAUDJ7N}

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	2026-05-18T02:38:20.247168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce5d34547916d27b0d50cbcc05069fb7f612f81a398e1e91986a20df72658b3

Aliases

arxiv: 1411.1905 · arxiv_version: 1411.1905v1 · doi: 10.48550/arxiv.1411.1905 · pith_short_12: HTS5GRKHSFWS · pith_short_16: HTS5GRKHSFWSPMGV · pith_short_8: HTS5GRKH

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/HTS5GRKHSFWSPMGVBS6MAUDJ7N \
  | 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: 3ce5d34547916d27b0d50cbcc05069fb7f612f81a398e1e91986a20df72658b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c32c5009e99953c4a7724382dd1ad91e5f5aae290d09c6afea1c03cc85a68a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-07T13:29:03Z",
    "title_canon_sha256": "c7b3abd08395888a1127973940ce1e767691bd49bb2b3840e90c9e841c6bf6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1905",
    "kind": "arxiv",
    "version": 1
  }
}