Pith Number

pith:LJO55XRR

pith:2012:LJO55XRRHFD3K3PSTQAEBZQHM6

not attested not anchored not stored refs pending

Non-homogeneous T1 theorem for bi-parameter singular integrals

Henri Martikainen, Tuomas Hyt\"onen

arxiv:1209.4473 v2 · 2012-09-20 · 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{LJO55XRRHFD3K3PSTQAEBZQHM6}

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	2026-05-18T02:47:53.203073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5ddede313947b56df29c0040e607679e4fc016c6068987cb802a7396a757dc

Aliases

arxiv: 1209.4473 · arxiv_version: 1209.4473v2 · doi: 10.48550/arxiv.1209.4473 · pith_short_12: LJO55XRRHFD3 · pith_short_16: LJO55XRRHFD3K3PS · pith_short_8: LJO55XRR

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/LJO55XRRHFD3K3PSTQAEBZQHM6 \
  | 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: 5a5ddede313947b56df29c0040e607679e4fc016c6068987cb802a7396a757dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4695fb7790789c22fb120ff88dd57dce423f8ff13655bea85440e52823c3e49e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-20T09:32:32Z",
    "title_canon_sha256": "0f05d8867441c0d361953cdd792a2eb856e4c0a8c74aeb29edd35ceb6c42d8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4473",
    "kind": "arxiv",
    "version": 2
  }
}