Pith Number

pith:CMPC3BFS

pith:2019:CMPC3BFSWDGUZACRK5U4ZKGB2L

not attested not anchored not stored refs pending

Two-Weight Tb Theorems for Well-Localized Operators

Brett D. Wick, Kelly Bickel, Taneli Korhonen

arxiv:1906.03372 v1 · 2019-06-08 · 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{CMPC3BFSWDGUZACRK5U4ZKGB2L}

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	2026-05-17T23:43:48.671908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131e2d84b2b0cd4c80515769cca8c1d2f942ade78b8bc42ccd90d94eed1984f9

Aliases

arxiv: 1906.03372 · arxiv_version: 1906.03372v1 · doi: 10.48550/arxiv.1906.03372 · pith_short_12: CMPC3BFSWDGU · pith_short_16: CMPC3BFSWDGUZACR · pith_short_8: CMPC3BFS

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/CMPC3BFSWDGUZACRK5U4ZKGB2L \
  | 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: 131e2d84b2b0cd4c80515769cca8c1d2f942ade78b8bc42ccd90d94eed1984f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0536a43847c3424ead48f84a8bef6dcd4e542294e9bae1eacaed9565a12205b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-08T01:57:46Z",
    "title_canon_sha256": "4b59475ac0cd16d7401f2541b41899bb3011e411437398f8ff56caf0a624e4ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03372",
    "kind": "arxiv",
    "version": 1
  }
}