Pith Number

pith:XZE7W5D3

pith:2017:XZE7W5D3IMFYAF2MSY7EURRVUW

not attested not anchored not stored refs pending

Two weight commutators for Beurling--Ahlfors operator

Brett D. Wick, Ji Li, Xuan Thinh Duong

arxiv:1707.09513 v1 · 2017-07-29 · 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{XZE7W5D3IMFYAF2MSY7EURRVUW}

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	2026-05-18T00:39:11.073017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be49fb747b430b80174c963e4a4635a5b86640511989e8e9c81cff75acc2d1b9

Aliases

arxiv: 1707.09513 · arxiv_version: 1707.09513v1 · doi: 10.48550/arxiv.1707.09513 · pith_short_12: XZE7W5D3IMFY · pith_short_16: XZE7W5D3IMFYAF2M · pith_short_8: XZE7W5D3

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/XZE7W5D3IMFYAF2MSY7EURRVUW \
  | 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: be49fb747b430b80174c963e4a4635a5b86640511989e8e9c81cff75acc2d1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9edab1f6c37395817df60598fe29bf266c129eddc01c528787cff9dfec7a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-29T13:24:03Z",
    "title_canon_sha256": "131a875721c04938805f5eb567d627c2093a1eda983035610bb8172b6095ae9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09513",
    "kind": "arxiv",
    "version": 1
  }
}