Pith Number

pith:CNS5CUKK

pith:2016:CNS5CUKKF4A7V4RK3TOQ6CDRAK

not attested not anchored not stored refs pending

Positive sparse domination of variational Carleson operators

Francesco Di Plinio, Gennady N. Uraltsev, Yen Q. Do

arxiv:1612.03028 v2 · 2016-12-09 · 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{CNS5CUKKF4A7V4RK3TOQ6CDRAK}

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	2026-05-18T00:46:55.272005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1365d1514a2f01faf22adcdd0f087102bda435d75f1da355f55c793f533bf816

Aliases

arxiv: 1612.03028 · arxiv_version: 1612.03028v2 · doi: 10.48550/arxiv.1612.03028 · pith_short_12: CNS5CUKKF4A7 · pith_short_16: CNS5CUKKF4A7V4RK · pith_short_8: CNS5CUKK

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/CNS5CUKKF4A7V4RK3TOQ6CDRAK \
  | 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: 1365d1514a2f01faf22adcdd0f087102bda435d75f1da355f55c793f533bf816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f16229deeb1f3886a99ea4756909f294b9ac9ceb5a273d7d6cc83b3d89b536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-09T14:07:57Z",
    "title_canon_sha256": "581e100df345d8fccd7658024f0c64a95823f324b90a7144297579203c91cffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03028",
    "kind": "arxiv",
    "version": 2
  }
}