Pith Number

pith:QG4NJV46

pith:2012:QG4NJV46OGV4SKJTP26MBMZOLX

not attested not anchored not stored refs pending

A variation norm Carleson theorem for vector-valued Walsh-Fourier series

Ioannis Parissis, Michael T. Lacey, Tuomas P. Hyt\"onen

arxiv:1209.3383 v2 · 2012-09-15 · 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{QG4NJV46OGV4SKJTP26MBMZOLX}

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	2026-05-17T23:45:10.430663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b8d4d79e71abc929337ebcc0b32e5ddbc8e8be65ae91d7a94f700ef71f8dc2

Aliases

arxiv: 1209.3383 · arxiv_version: 1209.3383v2 · doi: 10.48550/arxiv.1209.3383 · pith_short_12: QG4NJV46OGV4 · pith_short_16: QG4NJV46OGV4SKJT · pith_short_8: QG4NJV46

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/QG4NJV46OGV4SKJTP26MBMZOLX \
  | 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: 81b8d4d79e71abc929337ebcc0b32e5ddbc8e8be65ae91d7a94f700ef71f8dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c300836f6bf11fd3db960077cfe5ca066bd81bf604f77a0405afe8cd87a5587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-15T09:36:54Z",
    "title_canon_sha256": "96781ff37ecedb7b86e04db657616a284c9bb134b4fc7ae9c094b14722394243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3383",
    "kind": "arxiv",
    "version": 2
  }
}