Pith Number

pith:3KFYBITE

pith:2011:3KFYBITELF5IQWLCJDX342OGAX

not attested not anchored not stored refs pending

On boundedness of Calder\'on-Toeplitz operators

Ondrej Hutn\'ik

arxiv:1102.3710 v2 · 2011-02-17 · math.FA · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KFYBITELF5IQWLCJDX342OGAX}

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	2026-05-18T04:17:14.976480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8b80a264597a88596248efbe69c605e17be4bb089ee3304f0239c97e6a40e5

Aliases

arxiv: 1102.3710 · arxiv_version: 1102.3710v2 · doi: 10.48550/arxiv.1102.3710 · pith_short_12: 3KFYBITELF5I · pith_short_16: 3KFYBITELF5IQWLC · pith_short_8: 3KFYBITE

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/3KFYBITELF5IQWLCJDX342OGAX \
  | 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: da8b80a264597a88596248efbe69c605e17be4bb089ee3304f0239c97e6a40e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8141c8e1e1c82c8fd40bc2bbf87695749a919992698f2d5b488a54f1a6691ee6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-17T21:48:05Z",
    "title_canon_sha256": "8f1aad4a8c68266e5a1c242642bbd60f9223085c3784546b2e7a1113105e0750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3710",
    "kind": "arxiv",
    "version": 2
  }
}