Pith Number

pith:7PCTIZJG

pith:2013:7PCTIZJGZRTPE3TZZ6TEFFECJ7

not attested not anchored not stored refs pending

Matrix weights, Littlewood Paley inequalities and the Riesz transforms

Nicholas Boros, Nikolaos Pattakos

arxiv:1303.7180 v1 · 2013-03-28 · 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{7PCTIZJGZRTPE3TZZ6TEFFECJ7}

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	2026-05-18T03:29:38.087501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc5346526cc66f26e79cfa64294824fc3a12fa543e482219e5a9bd4a7c3556b

Aliases

arxiv: 1303.7180 · arxiv_version: 1303.7180v1 · doi: 10.48550/arxiv.1303.7180 · pith_short_12: 7PCTIZJGZRTP · pith_short_16: 7PCTIZJGZRTPE3TZ · pith_short_8: 7PCTIZJG

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/7PCTIZJGZRTPE3TZZ6TEFFECJ7 \
  | 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: fbc5346526cc66f26e79cfa64294824fc3a12fa543e482219e5a9bd4a7c3556b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9704035b5370cbb200a640b3847ae4210e9cb24932512545de5eb9e949dc0c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-28T17:02:27Z",
    "title_canon_sha256": "66b53be76b1747c3e895dc6c725adff4cf21e33799c348ef18c28cedd6f5a5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7180",
    "kind": "arxiv",
    "version": 1
  }
}