Pith Number

pith:LGM23ZCY

pith:2010:LGM23ZCYHOQ4B4LYRAC7RUDK3P

not attested not anchored not stored refs pending

Sharp weighted estimates for dyadic shifts and the $A_2$ conjecture

Alexander Volberg, Carlos P\'erez, Sergei Treil, Tuomas Hyt\"onen

arxiv:1010.0755 v2 · 2010-10-05 · 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{LGM23ZCYHOQ4B4LYRAC7RUDK3P}

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	2026-05-18T04:33:59.451931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5999ade4583ba1c0f1788805f8d06adbda165fd6a3ea200cfbb3847f4da37f5f

Aliases

arxiv: 1010.0755 · arxiv_version: 1010.0755v2 · doi: 10.48550/arxiv.1010.0755 · pith_short_12: LGM23ZCYHOQ4 · pith_short_16: LGM23ZCYHOQ4B4LY · pith_short_8: LGM23ZCY

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/LGM23ZCYHOQ4B4LYRAC7RUDK3P \
  | 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: 5999ade4583ba1c0f1788805f8d06adbda165fd6a3ea200cfbb3847f4da37f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45adb463218bc0580716d1f3309d40b24c603de745458bade9e63908b2563a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-05T02:54:56Z",
    "title_canon_sha256": "232eec86b8bf5ccd125333e226215322ba0dfa988faf6c1059577d575ab530e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0755",
    "kind": "arxiv",
    "version": 2
  }
}