Pith Number

pith:LM3XXQ5E

pith:2017:LM3XXQ5E2XYDRJCTYTQ6BQ7EU2

not attested not anchored not stored refs pending

Two weight Commutators in the Dirichlet and Neumann Laplacian settings

Brett D. Wick, Dongyong Yang, Irina Holmes, Ji Li, Xuan Thinh Duong

arxiv:1705.06858 v1 · 2017-05-19 · math.AP · 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{LM3XXQ5E2XYDRJCTYTQ6BQ7EU2}

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	2026-05-18T00:44:11.133621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b377bc3a4d5f038a453c4e1e0c3e4a6a6f7df1e495611c3c1c4aed8d845f626

Aliases

arxiv: 1705.06858 · arxiv_version: 1705.06858v1 · doi: 10.48550/arxiv.1705.06858 · pith_short_12: LM3XXQ5E2XYD · pith_short_16: LM3XXQ5E2XYDRJCT · pith_short_8: LM3XXQ5E

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/LM3XXQ5E2XYDRJCTYTQ6BQ7EU2 \
  | 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: 5b377bc3a4d5f038a453c4e1e0c3e4a6a6f7df1e495611c3c1c4aed8d845f626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0ab80ad3b91a71975bdd062833344c9c6ae6052de28bc3f3add5aeed2d3573",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-19T04:38:25Z",
    "title_canon_sha256": "9fe41a1350fffc72a99a621595faf34e0e26b63cedaea5afccff01738b0ad7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06858",
    "kind": "arxiv",
    "version": 1
  }
}