Pith Number

pith:M2SY2XKW

pith:2015:M2SY2XKW7OCP5BMW7PGR3543VI

not attested not anchored not stored refs pending

Subdyadic square functions and applications to weighted harmonic analysis

David Beltran, Jonathan Bennett

arxiv:1510.01897 v2 · 2015-10-07 · 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{M2SY2XKW7OCP5BMW7PGR3543VI}

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	2026-05-18T00:54:48.110561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a58d5d56fb84fe8596fbcd1df79baa0800234aeb7795d01bcb797c545007cf

Aliases

arxiv: 1510.01897 · arxiv_version: 1510.01897v2 · doi: 10.48550/arxiv.1510.01897 · pith_short_12: M2SY2XKW7OCP · pith_short_16: M2SY2XKW7OCP5BMW · pith_short_8: M2SY2XKW

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/M2SY2XKW7OCP5BMW7PGR3543VI \
  | 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: 66a58d5d56fb84fe8596fbcd1df79baa0800234aeb7795d01bcb797c545007cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f310bf65e3fe0db89140544bbb2441e040d04860d8034e461863bda638a1726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-07T11:21:13Z",
    "title_canon_sha256": "afa2607b8b856d338cdd74b2086ff5c729a518ea3e86addd5f1040f5ab90650a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01897",
    "kind": "arxiv",
    "version": 2
  }
}