Pith Number

pith:2NMEJLSW

pith:2011:2NMEJLSWEZR2GNL25LTQYUNQL3

not attested not anchored not stored refs pending

On the Boundedness of the Carleson Operator near $L^1$

Victor Lie

arxiv:1112.4573 v2 · 2011-12-20 · 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{2NMEJLSWEZR2GNL25LTQYUNQL3}

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	2026-05-18T03:48:59.012127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35844ae562663a3357aeae70c51b05efcc1cb45eb686802e7d1674135dd999b

Aliases

arxiv: 1112.4573 · arxiv_version: 1112.4573v2 · doi: 10.48550/arxiv.1112.4573 · pith_short_12: 2NMEJLSWEZR2 · pith_short_16: 2NMEJLSWEZR2GNL2 · pith_short_8: 2NMEJLSW

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/2NMEJLSWEZR2GNL25LTQYUNQL3 \
  | 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: d35844ae562663a3357aeae70c51b05efcc1cb45eb686802e7d1674135dd999b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e22e801b8a614aef9ae8deab8b8283f9b609bcb72d32fb7d6738b537cabd2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-20T05:06:44Z",
    "title_canon_sha256": "c58144f0e1ba30e14f7ae3637acd9efdd9ae11d0c9fa1e376d3fcefbb15061cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4573",
    "kind": "arxiv",
    "version": 2
  }
}