Pith Number

pith:S3AB52YY

pith:2013:S3AB52YY5PEEXJMR3S2XLGYVZH

not attested not anchored not stored refs pending

Local Tb theorem with L2 testing conditions and general measures: Square functions

Henri Martikainen, Michael T. Lacey

arxiv:1308.4571 v1 · 2013-08-21 · 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{S3AB52YY5PEEXJMR3S2XLGYVZH}

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	2026-05-18T00:22:07.151025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c01eeb18ebc84ba591dcb5759b15c9e25090ba29a6cd9d9645991c8f752fc2

Aliases

arxiv: 1308.4571 · arxiv_version: 1308.4571v1 · doi: 10.48550/arxiv.1308.4571 · pith_short_12: S3AB52YY5PEE · pith_short_16: S3AB52YY5PEEXJMR · pith_short_8: S3AB52YY

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/S3AB52YY5PEEXJMR3S2XLGYVZH \
  | 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: 96c01eeb18ebc84ba591dcb5759b15c9e25090ba29a6cd9d9645991c8f752fc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b68f3fa4c1274cc3b74e74736cd37a276b9dcfa4fcf2b8a24efdb212fb7d7510",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-21T13:36:59Z",
    "title_canon_sha256": "202b77c66c488aa89753486c60c129479b6959abf751b253339af8ffc123e887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4571",
    "kind": "arxiv",
    "version": 1
  }
}