Pith Number

pith:GTUXCMOD

pith:2017:GTUXCMODEOXLVUPBS322GSEI6D

not attested not anchored not stored refs pending

Characterization of compactness of commutators of bilinear singular integral operators

Lesley A. Ward, Lucas Chaffee, Peng Chen, Rodolfo Torres, Yanchang Han

arxiv:1709.01701 v1 · 2017-09-06 · 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{GTUXCMODEOXLVUPBS322GSEI6D}

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	2026-05-18T00:35:54.560989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e97131c323aebad1e196f5a34888f0e95ff06b91478c5b51069a24e790768b

Aliases

arxiv: 1709.01701 · arxiv_version: 1709.01701v1 · doi: 10.48550/arxiv.1709.01701 · pith_short_12: GTUXCMODEOXL · pith_short_16: GTUXCMODEOXLVUPB · pith_short_8: GTUXCMOD

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/GTUXCMODEOXLVUPBS322GSEI6D \
  | 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: 34e97131c323aebad1e196f5a34888f0e95ff06b91478c5b51069a24e790768b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb267a0e061f805652d2415e72b12aa432e0a9e566cbed63fffadec521f2306",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-06T07:40:42Z",
    "title_canon_sha256": "c7e795c83a01994defddd7869b479da0628a9626206ed111ac1f3b207a4985ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01701",
    "kind": "arxiv",
    "version": 1
  }
}