Pith Number

pith:WRZUIR6N

pith:2012:WRZUIR6NCFWHTF6AIVXVTW6OVD

not attested not anchored not stored refs pending

The Essential Norm of Operators on $A^p_\alpha(\mathbb{B}_n)$

Brett D. Wick, Daniel Su\'arez, Mishko Mitkovski

arxiv:1204.5548 v3 · 2012-04-25 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRZUIR6NCFWHTF6AIVXVTW6OVD}

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	2026-05-18T03:36:04.579966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4734447cd116c7997c0456f59dbcea8d5d0d2c5ecec85da0edcecac0c887312

Aliases

arxiv: 1204.5548 · arxiv_version: 1204.5548v3 · doi: 10.48550/arxiv.1204.5548 · pith_short_12: WRZUIR6NCFWH · pith_short_16: WRZUIR6NCFWHTF6A · pith_short_8: WRZUIR6N

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/WRZUIR6NCFWHTF6AIVXVTW6OVD \
  | 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: b4734447cd116c7997c0456f59dbcea8d5d0d2c5ecec85da0edcecac0c887312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c9d57f46fbc95e03d24fa4d325c63f654f25ca6ee9ff88b05bc1e2d9c5d1e6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-25T02:47:21Z",
    "title_canon_sha256": "dd6fcf6880fe7b33a87ce5e5d60da2b7f0e168b71e7e153347ac4ef51dce50e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5548",
    "kind": "arxiv",
    "version": 3
  }
}