Pith Number

pith:DHNPHLOZ

pith:2012:DHNPHLOZWVI53DPYIVI2JFOW33

not attested not anchored not stored refs pending

Carleson--Buckley measures beyond the scope of $A_\infty$ and their applications

Alexander Reznikov, Alexander Volberg, Fedor Nazarov, Sergei Treil

arxiv:1202.2931 v2 · 2012-02-14 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHNPHLOZWVI53DPYIVI2JFOW33}

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	2026-05-18T03:46:03.430142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19daf3add9b551dd8df84551a495d6dee1632a8f08e2b565fb4c7056b29e9aa2

Aliases

arxiv: 1202.2931 · arxiv_version: 1202.2931v2 · doi: 10.48550/arxiv.1202.2931 · pith_short_12: DHNPHLOZWVI5 · pith_short_16: DHNPHLOZWVI53DPY · pith_short_8: DHNPHLOZ

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/DHNPHLOZWVI53DPYIVI2JFOW33 \
  | 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: 19daf3add9b551dd8df84551a495d6dee1632a8f08e2b565fb4c7056b29e9aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5362b7b0b3a1f006303e5792dcfe029f8803bcf1f3622de5f8354ecec70c15fd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-14T03:35:12Z",
    "title_canon_sha256": "0ff804277ddbae62c1a108eea5963bec0f9a1b7d6429ca2feae5c4823d433470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2931",
    "kind": "arxiv",
    "version": 2
  }
}