Pith Number

pith:QWEO3JTG

pith:2012:QWEO3JTG55VQTEKD6JK3IO4BNS

not attested not anchored not stored refs pending

Generalized local Tb Theorems for Square Functions, and applications

Ana Grau de la Herran, Steve Hofmann

arxiv:1212.5870 v1 · 2012-12-24 · 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{QWEO3JTG55VQTEKD6JK3IO4BNS}

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	2026-05-18T01:10:11.240527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8588eda666ef6b099143f255b43b816ca9d30cfdf560a73f35363e9b88e6243a

Aliases

arxiv: 1212.5870 · arxiv_version: 1212.5870v1 · doi: 10.48550/arxiv.1212.5870 · pith_short_12: QWEO3JTG55VQ · pith_short_16: QWEO3JTG55VQTEKD · pith_short_8: QWEO3JTG

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/QWEO3JTG55VQTEKD6JK3IO4BNS \
  | 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: 8588eda666ef6b099143f255b43b816ca9d30cfdf560a73f35363e9b88e6243a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9618df613b90005bfa6bf901977c34ae87749dce3741e2721ae943e202bceca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-24T07:13:10Z",
    "title_canon_sha256": "cd8402bdd013c9e3f2e3a87734348b5eefa63e069743cb806ad66e33337ef899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5870",
    "kind": "arxiv",
    "version": 1
  }
}