Pith Number

pith:O6DANABL

pith:2019:O6DANABLZWTYLZLALRVH2BEE6W

not attested not anchored not stored refs pending

An extremal composition operator on the Hardy space of the bidisk with small approximation numbers

Daniel Li (LML), Herv\'e Queff\'elec (LPP), Luis Rodr\'iguez-Piazza

arxiv:1901.07245 v1 · 2019-01-22 · 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{O6DANABLZWTYLZLALRVH2BEE6W}

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	2026-05-17T23:55:47.662963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778606802bcda785e5605c6a7d0484f5b2d7d820447029060b21c99eaa3a7bf7

Aliases

arxiv: 1901.07245 · arxiv_version: 1901.07245v1 · doi: 10.48550/arxiv.1901.07245 · pith_short_12: O6DANABLZWTY · pith_short_16: O6DANABLZWTYLZLA · pith_short_8: O6DANABL

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/O6DANABLZWTYLZLALRVH2BEE6W \
  | 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: 778606802bcda785e5605c6a7d0484f5b2d7d820447029060b21c99eaa3a7bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9b073f106da3cd7b86ef0e4b1754f38b3b82bcd561a4b95d928f1197765f0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-22T10:33:55Z",
    "title_canon_sha256": "8ee0880671e57457090ab213272321d35efe8772a4b9338a664bf057e3e02e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07245",
    "kind": "arxiv",
    "version": 1
  }
}