Pith Number

pith:JA3G5FIP

pith:2020:JA3G5FIPKRBMCWJYA2KYYKLRSO

not attested not anchored not stored refs pending

The Shearlet Transform and Lizorkin Spaces

Francesca Bartolucci, Nenad Teofanov, Stevan Pilipovi\'c

arxiv:2003.06642 v2 · 2020-03-14 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA3G5FIPKRBMCWJYA2KYYKLRSO}

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	2026-07-05T01:01:03.071087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48366e950f5442c1593806958c2971939d392e1db12ef737c628b94e37a1a8ac

Aliases

arxiv: 2003.06642 · arxiv_version: 2003.06642v2 · doi: 10.48550/arxiv.2003.06642 · pith_short_12: JA3G5FIPKRBM · pith_short_16: JA3G5FIPKRBMCWJY · pith_short_8: JA3G5FIP

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/JA3G5FIPKRBMCWJYA2KYYKLRSO \
  | 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: 48366e950f5442c1593806958c2971939d392e1db12ef737c628b94e37a1a8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0693f392ed0aa9d6e969b90fcd6bf5f9916bbccf54fa8cc8eb28c3aa16b5f34f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-03-14T14:31:14Z",
    "title_canon_sha256": "345ae9795957a5bc270fa6b1d59a44cb435720f07f08eb58bf4cc6ee529fe6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06642",
    "kind": "arxiv",
    "version": 2
  }
}