Pith Number

pith:HDP7W2K6

pith:2017:HDP7W2K6B7B5QS2QK2JQ4NNE7W

not attested not anchored not stored refs pending

The Sharp Constant in the Weak (1,1) Inequality for the Square Function: A New Proof

Alexander Volberg, Irina Holmes, Paata Ivanisvili

arxiv:1710.01346 v3 · 2017-10-03 · 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{HDP7W2K6B7B5QS2QK2JQ4NNE7W}

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	2026-05-17T23:57:50.921267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38dffb695e0fc3d84b5056930e35a4fd89591502c6e935862b98fa62a72a81cb

Aliases

arxiv: 1710.01346 · arxiv_version: 1710.01346v3 · doi: 10.48550/arxiv.1710.01346 · pith_short_12: HDP7W2K6B7B5 · pith_short_16: HDP7W2K6B7B5QS2Q · pith_short_8: HDP7W2K6

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/HDP7W2K6B7B5QS2QK2JQ4NNE7W \
  | 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: 38dffb695e0fc3d84b5056930e35a4fd89591502c6e935862b98fa62a72a81cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac36d2c78f93f3f4f95c42a06cd4ab3b75eb399c6544176f4070e8fcedbf835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-03T18:48:28Z",
    "title_canon_sha256": "7b943468d8d330e2f579778a7e22bed78659406d09f82d9b59a58ee517726afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01346",
    "kind": "arxiv",
    "version": 3
  }
}