Pith Number

pith:JPBLBZLJ

pith:2016:JPBLBZLJL2ZIKX7EKZ4QC6QTET

not attested not anchored not stored refs pending

Spectrum of Weighted Composition Operators Part IV: Spectrum and essential spectra of weighted composition operators in spaces of smooth functions on $[0,1]$

Arkady Kitover

arxiv:1606.05895 v1 · 2016-06-19 · math.SP · 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{JPBLBZLJL2ZIKX7EKZ4QC6QTET}

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	2026-05-18T01:12:15.873249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc2b0e5695eb2855fe45679017a1324d51a2a7f42284ae1b3abaa4765cab426

Aliases

arxiv: 1606.05895 · arxiv_version: 1606.05895v1 · doi: 10.48550/arxiv.1606.05895 · pith_short_12: JPBLBZLJL2ZI · pith_short_16: JPBLBZLJL2ZIKX7E · pith_short_8: JPBLBZLJ

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/JPBLBZLJL2ZIKX7EKZ4QC6QTET \
  | 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: 4bc2b0e5695eb2855fe45679017a1324d51a2a7f42284ae1b3abaa4765cab426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c838f084143ed27908e95beef6a8e09f9a430c9cb398d5c382f9ca24d207cb4c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-06-19T18:04:50Z",
    "title_canon_sha256": "27554762bed6a9bc75ba2ef64d2d8fbe9169ee45119267490d73bdb8a8df07d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05895",
    "kind": "arxiv",
    "version": 1
  }
}