Pith Number

pith:UZBBBPS5

pith:2012:UZBBBPS5LD3G6IUQAYT6LMSBTA

not attested not anchored not stored refs pending

The Essential Norm of Operators on $A^p(\mathbb{D}^n)$

Brett D. Wick, Mishko Mitkovski

arxiv:1208.5819 v3 · 2012-08-29 · math.CV · math.CA · 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{UZBBBPS5LD3G6IUQAYT6LMSBTA}

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	2026-05-18T03:15:43.780223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64210be5d58f66f22900627e5b241980dd86ca5b99f398fa0a4e32bb40116fe

Aliases

arxiv: 1208.5819 · arxiv_version: 1208.5819v3 · doi: 10.48550/arxiv.1208.5819 · pith_short_12: UZBBBPS5LD3G · pith_short_16: UZBBBPS5LD3G6IUQ · pith_short_8: UZBBBPS5

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/UZBBBPS5LD3G6IUQAYT6LMSBTA \
  | 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: a64210be5d58f66f22900627e5b241980dd86ca5b99f398fa0a4e32bb40116fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4634e6d8a57c90e75b070cdba2fc606ac2a76fa94f495296b06df0c1e72879c2",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-29T01:13:38Z",
    "title_canon_sha256": "c1a0dedabb59062420c33f1a9165e251c0a1591fc424c034a253cb93b98838c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5819",
    "kind": "arxiv",
    "version": 3
  }
}