Pith Number

pith:QC42CNP4

pith:2014:QC42CNP4PBIKRGTEMJMXRAIK7M

not attested not anchored not stored refs pending

Spectra of Composition Operators with Symbols in S(2)

Paul S. Bourdon

arxiv:1401.2680 v3 · 2014-01-12 · 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{QC42CNP4PBIKRGTEMJMXRAIK7M}

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	2026-05-18T02:30:15.760303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b9a135fc7850a89a64625978810afb11dc7e8d544afefe48c2fcfb08505c3d

Aliases

arxiv: 1401.2680 · arxiv_version: 1401.2680v3 · doi: 10.48550/arxiv.1401.2680 · pith_short_12: QC42CNP4PBIK · pith_short_16: QC42CNP4PBIKRGTE · pith_short_8: QC42CNP4

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/QC42CNP4PBIKRGTEMJMXRAIK7M \
  | 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: 80b9a135fc7850a89a64625978810afb11dc7e8d544afefe48c2fcfb08505c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b5f74009580e5329efd80c4f1930e89b58f028ffc6cc1ed27e936b1e198936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-12T22:48:17Z",
    "title_canon_sha256": "30c57fd73c1904cdf707de3e23f8f7e6279d4b4bfc9c1c1d99baeb8e4d8ee1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2680",
    "kind": "arxiv",
    "version": 3
  }
}