Pith Number

pith:D2D76XG3

pith:2018:D2D76XG3JGDI2XP6CS3ZSC45VQ

not attested not anchored not stored refs pending

Commutators of multi-parameter flag singular integrals and applications

Brett D. Wick, Ji Li, Jill Pipher, Xuan Thinh Duong, Yumeng Ou

arxiv:1802.04461 v2 · 2018-02-13 · 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{D2D76XG3JGDI2XP6CS3ZSC45VQ}

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	2026-05-17T23:58:05.156936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e87ff5cdb49868d5dfe14b7990b9dac2a74a1a478aa132f48ee7b06409329a6

Aliases

arxiv: 1802.04461 · arxiv_version: 1802.04461v2 · doi: 10.48550/arxiv.1802.04461 · pith_short_12: D2D76XG3JGDI · pith_short_16: D2D76XG3JGDI2XP6 · pith_short_8: D2D76XG3

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/D2D76XG3JGDI2XP6CS3ZSC45VQ \
  | 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: 1e87ff5cdb49868d5dfe14b7990b9dac2a74a1a478aa132f48ee7b06409329a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68395e277b031356dc5114955b7cc5cd778b80abc8a7bb020b32fbb6f30cc217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-13T04:59:04Z",
    "title_canon_sha256": "a6a01a29064f7baf20618010517c334c736395884938b1ef01796ae6fb1cb2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04461",
    "kind": "arxiv",
    "version": 2
  }
}