Pith Number

pith:X3A2ROEF

pith:2011:X3A2ROEFVYKE4XW5KAVO6YI2L7

not attested not anchored not stored refs pending

On joint estimates for maximal functions and singular integrals in weighted spaces

James Scurry, Maria Carmen Reguera

arxiv:1109.2027 v1 · 2011-09-09 · 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{X3A2ROEFVYKE4XW5KAVO6YI2L7}

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	2026-05-18T04:13:46.339035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec1a8b885ae144e5edd502aef611a5fc7b53099462f2896d6f934160ad66ed0

Aliases

arxiv: 1109.2027 · arxiv_version: 1109.2027v1 · doi: 10.48550/arxiv.1109.2027 · pith_short_12: X3A2ROEFVYKE · pith_short_16: X3A2ROEFVYKE4XW5 · pith_short_8: X3A2ROEF

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/X3A2ROEFVYKE4XW5KAVO6YI2L7 \
  | 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: bec1a8b885ae144e5edd502aef611a5fc7b53099462f2896d6f934160ad66ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f5ea7c2237287fdf4701cbd68dd080a6f3ba056c03373638881aa0460a88b40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-09T14:36:44Z",
    "title_canon_sha256": "b076db824f9401dad0443e5f84b02d387da333e2f2576a3eca9378566be07d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2027",
    "kind": "arxiv",
    "version": 1
  }
}