Pith Number

pith:RVPW2F5A

pith:2016:RVPW2F5AXCEWDWXFNFXEIH4EEQ

not attested not anchored not stored refs pending

Dyadic representation and boundedness of non-homogeneous Calder\'on--Zygmund operators with mild kernel regularity

Ana Grau de la Herr\'an, Tuomas Hyt\"onen

arxiv:1612.05133 v1 · 2016-12-15 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVPW2F5AXCEWDWXFNFXEIH4EEQ}

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	2026-05-18T00:54:53.383261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5f6d17a0b88961dae5696e441f84240f6509f670ebecd361d171bbbefca01a

Aliases

arxiv: 1612.05133 · arxiv_version: 1612.05133v1 · doi: 10.48550/arxiv.1612.05133 · pith_short_12: RVPW2F5AXCEW · pith_short_16: RVPW2F5AXCEWDWXF · pith_short_8: RVPW2F5A

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/RVPW2F5AXCEWDWXFNFXEIH4EEQ \
  | 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: 8d5f6d17a0b88961dae5696e441f84240f6509f670ebecd361d171bbbefca01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21be12a07d971728a71ac9bfe6bda9c2432b1d1725cce47cd6003bed96dff4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-15T16:44:17Z",
    "title_canon_sha256": "57a3a141fbdb27fb3a48d246c9b83edf15e90d1287dc17187c69cc97d1cdd0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05133",
    "kind": "arxiv",
    "version": 1
  }
}