Pith Number

pith:X5RI7A6N

pith:2015:X5RI7A6NTNMHGS4L27IZ4HD463

not attested not anchored not stored refs pending

Adjoints of linear fractional composition operators on weighted Hardy spaces

Trieu Le, Zeljko Cuckovic

arxiv:1509.01510 v1 · 2015-09-04 · 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{X5RI7A6NTNMHGS4L27IZ4HD463}

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	2026-05-18T01:33:57.538176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf628f83cd9b58734b8bd7d19e1c7cf6cf46cd612340f813ee7cf200649f8ab6

Aliases

arxiv: 1509.01510 · arxiv_version: 1509.01510v1 · doi: 10.48550/arxiv.1509.01510 · pith_short_12: X5RI7A6NTNMH · pith_short_16: X5RI7A6NTNMHGS4L · pith_short_8: X5RI7A6N

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/X5RI7A6NTNMHGS4L27IZ4HD463 \
  | 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: bf628f83cd9b58734b8bd7d19e1c7cf6cf46cd612340f813ee7cf200649f8ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218428947bcfe5ef6214064bde28dd6ccddd66949a6aa0682111a2f27327dfd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-04T15:56:02Z",
    "title_canon_sha256": "ef5cb19ff3374f6dc233e1536793a094e8d8e470c3ef8767db981737180f464d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01510",
    "kind": "arxiv",
    "version": 1
  }
}