Pith Number

pith:XT6COAL4

pith:2013:XT6COAL4WZEIHAHS2LZFWMVODX

not attested not anchored not stored refs pending

The essential norm of a weighted composition operator on BMOA

Jussi Laitila, Mikael Lindstr\"om

arxiv:1312.1516 v1 · 2013-12-05 · 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{XT6COAL4WZEIHAHS2LZFWMVODX}

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	2026-05-18T03:05:27.060913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfc27017cb6488380f2d2f25b32ae1dea2e0e2908472a7f46017b68acfc9ba7

Aliases

arxiv: 1312.1516 · arxiv_version: 1312.1516v1 · doi: 10.48550/arxiv.1312.1516 · pith_short_12: XT6COAL4WZEI · pith_short_16: XT6COAL4WZEIHAHS · pith_short_8: XT6COAL4

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/XT6COAL4WZEIHAHS2LZFWMVODX \
  | 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: bcfc27017cb6488380f2d2f25b32ae1dea2e0e2908472a7f46017b68acfc9ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cec01c1ab5dfa084ed260e13ecb6a08141df3d7594ecdaadb57fa10e4f6d8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-05T12:18:38Z",
    "title_canon_sha256": "13a3b7b8457017e0bd07bab45e2b0c0a827c6cae44b95e8fafffbdc920bdd169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1516",
    "kind": "arxiv",
    "version": 1
  }
}