Pith Number

pith:MNT64GHP

pith:2016:MNT64GHPNJJGTR2AC5G6H3QQAA

not attested not anchored not stored refs pending

The Riesz transform of codimension smaller than one and the Wolff energy

Benjamin Jaye, Fedor Nazarov, Maria Carmen Reguera, Xavier Tolsa

arxiv:1602.02821 v2 · 2016-02-08 · math.AP · 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{MNT64GHPNJJGTR2AC5G6H3QQAA}

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	2026-05-18T01:19:52.960590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6367ee18ef6a5269c740174de3ee10000e7a47dce2e08db0579a4d182edfe8aa

Aliases

arxiv: 1602.02821 · arxiv_version: 1602.02821v2 · doi: 10.48550/arxiv.1602.02821 · pith_short_12: MNT64GHPNJJG · pith_short_16: MNT64GHPNJJGTR2A · pith_short_8: MNT64GHP

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/MNT64GHPNJJGTR2AC5G6H3QQAA \
  | 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: 6367ee18ef6a5269c740174de3ee10000e7a47dce2e08db0579a4d182edfe8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219589fc12efe638245578d61eebda34b5010a4bd727ee2349ec5930aef03585",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-08T23:53:20Z",
    "title_canon_sha256": "68974bac12c68ff31382efb37ab57c5128c5c3306ded061e6135370f3c43ba2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02821",
    "kind": "arxiv",
    "version": 2
  }
}