Pith Number

pith:B4MBFYTQ

pith:2015:B4MBFYTQLMKP7SWVNKCT5KBYAU

not attested not anchored not stored refs pending

A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum

Ben Krause, Michael Lacey

arxiv:1512.06918 v3 · 2015-12-22 · 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{B4MBFYTQLMKP7SWVNKCT5KBYAU}

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	2026-05-18T01:15:57.783528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1812e2705b14ffcad56a853ea838050e5450392ed2b2b47d28915b1f1e0701

Aliases

arxiv: 1512.06918 · arxiv_version: 1512.06918v3 · doi: 10.48550/arxiv.1512.06918 · pith_short_12: B4MBFYTQLMKP · pith_short_16: B4MBFYTQLMKP7SWV · pith_short_8: B4MBFYTQ

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/B4MBFYTQLMKP7SWVNKCT5KBYAU \
  | 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: 0f1812e2705b14ffcad56a853ea838050e5450392ed2b2b47d28915b1f1e0701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f7edf0ea2edeb6ca1bc13ad803e911916ec337110939f6f35cd00278d93f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-22T00:29:55Z",
    "title_canon_sha256": "7b25849a0f89dd22474029e743300915d59c88d844c68fd049bcbe683b801abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06918",
    "kind": "arxiv",
    "version": 3
  }
}