Pith Number

pith:4J7DOCG7

pith:2019:4J7DOCG7GZBNYVBF6V2W6O3KWH

not attested not anchored not stored refs pending

A comparison of box and Carleson conditions on bi-trees

Alexander Volberg, Georgios Psaromiligkos, Irina Holmes

arxiv:1903.02478 v3 · 2019-03-06 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J7DOCG7GZBNYVBF6V2W6O3KWH}

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.

Cited by

1 paper in Pith

Counterexamples for bi-parameter Carleson embedding

Receipt and verification

First computed	2026-05-17T23:50:55.272115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27e3708df3642dc5425f5756f3b6ab1c5bde3f098fd2c5073109b18a953a9fd

Aliases

arxiv: 1903.02478 · arxiv_version: 1903.02478v3 · doi: 10.48550/arxiv.1903.02478 · pith_short_12: 4J7DOCG7GZBN · pith_short_16: 4J7DOCG7GZBNYVBF · pith_short_8: 4J7DOCG7

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/4J7DOCG7GZBNYVBF6V2W6O3KWH \
  | 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: e27e3708df3642dc5425f5756f3b6ab1c5bde3f098fd2c5073109b18a953a9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce168b7ec9fde3ec451705d59aa431045ca6dff52f833429778aa10656b229ee",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-06T16:12:09Z",
    "title_canon_sha256": "6eb74598994564d2b86bc134dd07a56fd01a3c73a69b0c5230769b9790803316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02478",
    "kind": "arxiv",
    "version": 3
  }
}