Pith Number

pith:54RU4KHE

pith:2012:54RU4KHEOURDZZCRYFPJYZ52ZC

not attested not anchored not stored refs pending

Spectrum of Weighted Composition Operators. Part II. Weighted composition operators on subspaces of Banach lattices

Arkady Kitover

arxiv:1205.2156 v1 · 2012-05-10 · 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{54RU4KHEOURDZZCRYFPJYZ52ZC}

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	2026-05-18T03:55:56.902281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef234e28e475223ce451c15e9c67bac89cc293d8f6907dbf7d25d0efc918df4d

Aliases

arxiv: 1205.2156 · arxiv_version: 1205.2156v1 · doi: 10.48550/arxiv.1205.2156 · pith_short_12: 54RU4KHEOURD · pith_short_16: 54RU4KHEOURDZZCR · pith_short_8: 54RU4KHE

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/54RU4KHEOURDZZCRYFPJYZ52ZC \
  | 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: ef234e28e475223ce451c15e9c67bac89cc293d8f6907dbf7d25d0efc918df4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8691d93acdf51424fdd084ce9e70a56ff0869aae858683164d1194e3ccd99d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-10T04:12:11Z",
    "title_canon_sha256": "a85fa859cd86a898d85ec0b452bc8bca2f9bd3f56f941f3f5315dfdec7f5720c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2156",
    "kind": "arxiv",
    "version": 1
  }
}