Pith Number

pith:C4HXWI3G

pith:2017:C4HXWI3GRVYRZMEJVCV4SMK7JM

not attested not anchored not stored refs pending

The sharp square function estimate with matrix weight

Alexander Volberg, Stefanie Petermichl, Tuomas Hyt\"onen

arxiv:1702.04569 v2 · 2017-02-15 · 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{C4HXWI3GRVYRZMEJVCV4SMK7JM}

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	2026-05-17T23:49:53.293516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170f7b23668d711cb089a8abc9315f4b340c95c1c5d2035b0023c81d13ac0964

Aliases

arxiv: 1702.04569 · arxiv_version: 1702.04569v2 · doi: 10.48550/arxiv.1702.04569 · pith_short_12: C4HXWI3GRVYR · pith_short_16: C4HXWI3GRVYRZMEJ · pith_short_8: C4HXWI3G

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/C4HXWI3GRVYRZMEJVCV4SMK7JM \
  | 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: 170f7b23668d711cb089a8abc9315f4b340c95c1c5d2035b0023c81d13ac0964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e33d66ba9b50d3d56024fb6f9b078f64accd619b1e00511b1638f537471f839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-15T12:10:01Z",
    "title_canon_sha256": "5b8ebcb478430fb1016f0e8190c9e1d81111efaef7d811396033491ccfc27940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04569",
    "kind": "arxiv",
    "version": 2
  }
}