Pith Number

pith:SE5OI4QN

pith:2014:SE5OI4QNQU5YX3AQECXWHOM6YA

not attested not anchored not stored refs pending

Square functions of fractional homogeneity and Wolff potentials

Laura Prat, Vasileios Chousionis, Xavier Tolsa

arxiv:1410.5272 v2 · 2014-10-20 · 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{SE5OI4QNQU5YX3AQECXWHOM6YA}

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	2026-05-18T02:18:13.525544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

913ae4720d853b8bec1020af63b99ec01903e1534374e2b9a3886e13ee033982

Aliases

arxiv: 1410.5272 · arxiv_version: 1410.5272v2 · doi: 10.48550/arxiv.1410.5272 · pith_short_12: SE5OI4QNQU5Y · pith_short_16: SE5OI4QNQU5YX3AQ · pith_short_8: SE5OI4QN

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/SE5OI4QNQU5YX3AQECXWHOM6YA \
  | 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: 913ae4720d853b8bec1020af63b99ec01903e1534374e2b9a3886e13ee033982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef085407bf7768a3fd8bad49bf5c0df33c526ce875343649899190cde09caaae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-20T13:42:51Z",
    "title_canon_sha256": "ae0bca4cb51bc566439fdef1cd2f9947fc7ac2f73b5232c0534f67909baaeea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5272",
    "kind": "arxiv",
    "version": 2
  }
}