Pith Number

pith:JFXW23ED

pith:2015:JFXW23EDGJHNWVSSQWH56FQOGY

not attested not anchored not stored refs pending

A Study of the Matrix Carleson Embedding Theorem with Applications to Sparse Operators

Brett D. Wick, Kelly Bickel

arxiv:1503.06493 v1 · 2015-03-22 · 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{JFXW23EDGJHNWVSSQWH56FQOGY}

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	2026-05-18T01:21:16.022784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496f6d6c83324edb5652858fdf160e3621c45d71eeeaa965f9872458e1098046

Aliases

arxiv: 1503.06493 · arxiv_version: 1503.06493v1 · doi: 10.48550/arxiv.1503.06493 · pith_short_12: JFXW23EDGJHN · pith_short_16: JFXW23EDGJHNWVSS · pith_short_8: JFXW23ED

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/JFXW23EDGJHNWVSSQWH56FQOGY \
  | 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: 496f6d6c83324edb5652858fdf160e3621c45d71eeeaa965f9872458e1098046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c3ce6cfff8f639701d1784e55bf6599febb8f76f046ae9e733e387be3e53e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-22T23:02:57Z",
    "title_canon_sha256": "59a2caefe55a2fd96dc8683595b74611f202a869113af67c575bbb719800c81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06493",
    "kind": "arxiv",
    "version": 1
  }
}