Pith Number

pith:KS5XCFM4

pith:2016:KS5XCFM4EOXEBACXQKFOJRSMBB

not attested not anchored not stored refs pending

The measures with an associated square function operator bounded in $L^2$

Benjamin Jaye, Fedor Nazarov, Xavier Tolsa

arxiv:1612.04754 v1 · 2016-12-14 · math.CA · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS5XCFM4EOXEBACXQKFOJRSMBB}

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	2026-05-18T00:54:58.696566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54bb71159c23ae408057828ae4c64c086b562bdae7079bfdc5d75a8ef26a3c71

Aliases

arxiv: 1612.04754 · arxiv_version: 1612.04754v1 · doi: 10.48550/arxiv.1612.04754 · pith_short_12: KS5XCFM4EOXE · pith_short_16: KS5XCFM4EOXEBACX · pith_short_8: KS5XCFM4

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/KS5XCFM4EOXEBACXQKFOJRSMBB \
  | 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: 54bb71159c23ae408057828ae4c64c086b562bdae7079bfdc5d75a8ef26a3c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d453782cb15c9f46b37e1ffebab04d7802e3724666777658976d777da4b876",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-14T18:01:42Z",
    "title_canon_sha256": "b25e2147163bf8d015751db6f9d2bc8f505e41139946276382b5fe6dd47c8276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04754",
    "kind": "arxiv",
    "version": 1
  }
}