Pith Number

pith:VCOJTT4Z

pith:2018:VCOJTT4ZKDJ2ASTQMPXB4NAMIL

not attested not anchored not stored refs pending

Estimate for norm of a composition operator on the Hardy-Dirichlet space

Herv\'e Queff\'elec, Perumal Muthukumar, Saminathan Ponnusamy

arxiv:1802.01831 v1 · 2018-02-06 · 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{VCOJTT4ZKDJ2ASTQMPXB4NAMIL}

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	2026-05-18T00:24:21.148284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89c99cf9950d3a04a7063ee1e340c42d4f3d5c076f0c284a43b1843cce2fd1e

Aliases

arxiv: 1802.01831 · arxiv_version: 1802.01831v1 · doi: 10.48550/arxiv.1802.01831 · pith_short_12: VCOJTT4ZKDJ2 · pith_short_16: VCOJTT4ZKDJ2ASTQ · pith_short_8: VCOJTT4Z

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/VCOJTT4ZKDJ2ASTQMPXB4NAMIL \
  | 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: a89c99cf9950d3a04a7063ee1e340c42d4f3d5c076f0c284a43b1843cce2fd1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a275abf352fcdaffc55987c1b5288d2a075e503a78642d4665c93eeca90588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-06T07:41:26Z",
    "title_canon_sha256": "78b59b399625b1cfdbc064cd1cecf67f263965f83e68152d7a840b48b206da9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01831",
    "kind": "arxiv",
    "version": 1
  }
}