Pith Number

pith:SHI7DF3E

pith:2015:SHI7DF3EJIK3BQXNTG2AUOLHR7

not attested not anchored not stored refs pending

Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators

Kangwei Li, Tuomas P. Hyt\"onen

arxiv:1509.00273 v2 · 2015-09-01 · 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{SHI7DF3EJIK3BQXNTG2AUOLHR7}

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	2026-05-18T00:20:40.309049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d1f197644a15b0c2ed99b40a39678fe5248f5b3ec333872f913c5505546a24

Aliases

arxiv: 1509.00273 · arxiv_version: 1509.00273v2 · doi: 10.48550/arxiv.1509.00273 · pith_short_12: SHI7DF3EJIK3 · pith_short_16: SHI7DF3EJIK3BQXN · pith_short_8: SHI7DF3E

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/SHI7DF3EJIK3BQXNTG2AUOLHR7 \
  | 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: 91d1f197644a15b0c2ed99b40a39678fe5248f5b3ec333872f913c5505546a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6c453035944aea5788f372fd87a02db5f1c4aeddb2deb02bea090d1edfeda7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-01T13:11:59Z",
    "title_canon_sha256": "928997ab8db45addb1fb8c8ab0cba5822d675229eddb9f7305d3a109a21f0e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00273",
    "kind": "arxiv",
    "version": 2
  }
}