Pith Number

pith:XSCVUFZH

pith:2021:XSCVUFZHC37WKIDRV7IGKJWYN2

not attested not anchored not stored refs pending

Invertible and isometric weighted composition operators

Alejandro Mas, Dragan Vukoti\'c

arxiv:2104.12220 v2 · 2021-04-25 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSCVUFZHC37WKIDRV7IGKJWYN2}

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	2026-07-05T04:50:10.282025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc855a172716ff652071afd06526d86e9c3957275cbb147638e6a807cfdd04ab

Aliases

arxiv: 2104.12220 · arxiv_version: 2104.12220v2 · doi: 10.48550/arxiv.2104.12220 · pith_short_12: XSCVUFZHC37W · pith_short_16: XSCVUFZHC37WKIDR · pith_short_8: XSCVUFZH

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/XSCVUFZHC37WKIDRV7IGKJWYN2 \
  | 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: bc855a172716ff652071afd06526d86e9c3957275cbb147638e6a807cfdd04ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85a4db36922a882fb79742fa846a16ac6ef211a61c041575904dcb2c9f5abe1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-04-25T18:04:00Z",
    "title_canon_sha256": "d3dd30ae56a762677ec45a04f14ddc47d26057332721fc7b4af058e69150082f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12220",
    "kind": "arxiv",
    "version": 2
  }
}