Pith Number

pith:OAKGUKCT

pith:2014:OAKGUKCT5DR4BPD3OIYVBYJFKC

not attested not anchored not stored refs pending

A spectral radius type formula for approximation numbers of composition operators

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

arxiv:1407.2171 v1 · 2014-07-08 · 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{OAKGUKCT5DR4BPD3OIYVBYJFKC}

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	2026-05-18T02:48:03.132445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70146a2853e8e3c0bc7b723150e12550ac44001ee89cccc00622bf36ac098b95

Aliases

arxiv: 1407.2171 · arxiv_version: 1407.2171v1 · doi: 10.48550/arxiv.1407.2171 · pith_short_12: OAKGUKCT5DR4 · pith_short_16: OAKGUKCT5DR4BPD3 · pith_short_8: OAKGUKCT

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/OAKGUKCT5DR4BPD3OIYVBYJFKC \
  | 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: 70146a2853e8e3c0bc7b723150e12550ac44001ee89cccc00622bf36ac098b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf104f6412c42b7dddb5380a830e1f0aed5266bd7669a7b951922301ff5ba59b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-08T16:57:01Z",
    "title_canon_sha256": "8f5bf1e402fa5462d7f1952bc33d7d3e258f3f84a5b2fc67a0076b1b557cdd95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2171",
    "kind": "arxiv",
    "version": 1
  }
}