Pith Number

pith:AX34PZ6T

pith:2013:AX34PZ6TF7ZOB2JN2DVKGUDZLF

not attested not anchored not stored refs pending

Weak-L^p bounds for the Carleson and Walsh-Carleson operators

Francesco Di Plinio

arxiv:1312.0398 v2 · 2013-12-02 · 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{AX34PZ6TF7ZOB2JN2DVKGUDZLF}

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	2026-05-18T02:55:48.128266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f7c7e7d32ff2e0e92dd0eaa350795951bcb0f2ce5f18e5b61ac2525a03b7d7

Aliases

arxiv: 1312.0398 · arxiv_version: 1312.0398v2 · doi: 10.48550/arxiv.1312.0398 · pith_short_12: AX34PZ6TF7ZO · pith_short_16: AX34PZ6TF7ZOB2JN · pith_short_8: AX34PZ6T

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/AX34PZ6TF7ZOB2JN2DVKGUDZLF \
  | 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: 05f7c7e7d32ff2e0e92dd0eaa350795951bcb0f2ce5f18e5b61ac2525a03b7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a624bc17af0da074c56aa69ce59d261532516403a753d9ecbdee42c07956a2f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-02T10:19:17Z",
    "title_canon_sha256": "4b107d0e87c5a4b901e78ec1a7a514b53b7d724c294d71b2fea15d658b523b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0398",
    "kind": "arxiv",
    "version": 2
  }
}