Pith Number

pith:543DNNRS

pith:2015:543DNNRSXJYS7YYJEVPA5R3TRV

not attested not anchored not stored refs pending

A Bellman function counterexample to the $A_1$ conjecture: the blow-up of the weak norm estimates of weighted singular operators

A. Reznikov, A. Volberg, F. Nazarov, V. Vasyunin

arxiv:1506.04710 v1 · 2015-06-15 · 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{543DNNRSXJYS7YYJEVPA5R3TRV}

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	2026-05-18T01:49:25.108302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3636b632ba712fe309255e0ec7738d496f50a74704e983ef27e1c2ad82068e

Aliases

arxiv: 1506.04710 · arxiv_version: 1506.04710v1 · doi: 10.48550/arxiv.1506.04710 · pith_short_12: 543DNNRSXJYS · pith_short_16: 543DNNRSXJYS7YYJ · pith_short_8: 543DNNRS

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/543DNNRSXJYS7YYJEVPA5R3TRV \
  | 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: ef3636b632ba712fe309255e0ec7738d496f50a74704e983ef27e1c2ad82068e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa866b46c8322a9514a805b25b1eb206811e0ec49d89c2689f90d0b72d91507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-15T19:20:50Z",
    "title_canon_sha256": "ae63305b3cdafe337ada5cb754bd574f849bed2c7ad8a78ec07bf4658630ae37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04710",
    "kind": "arxiv",
    "version": 1
  }
}