Pith Number

pith:TKM4D6AO

pith:2026:TKM4D6AOA7TXLWTVV7NBYPTISL

not attested not anchored not stored refs pending

Composition operators for holomorphic Lipschitz functions

Anton\'in Proch\'azka, Juan Guerrero-Viu, Luis C. Garc\'ia-Lirola, Ver\'onica Dimant

arxiv:2605.21279 v1 · 2026-05-20 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKM4D6AOA7TXLWTVV7NBYPTISL}

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	2026-05-21T02:05:26.790351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a99c1f80e07e775da75afda1c3e6892e668a45126fd66329b6de34079d16432

Aliases

arxiv: 2605.21279 · arxiv_version: 2605.21279v1 · doi: 10.48550/arxiv.2605.21279 · pith_short_12: TKM4D6AOA7TX · pith_short_16: TKM4D6AOA7TXLWTV · pith_short_8: TKM4D6AO

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/TKM4D6AOA7TXLWTVV7NBYPTISL \
  | 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: 9a99c1f80e07e775da75afda1c3e6892e668a45126fd66329b6de34079d16432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ef3b618eed78a28e50f85dc5aba867083851ff2586a25e51a4b07216b3aee8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-20T15:10:06Z",
    "title_canon_sha256": "d834720d724655aebda7acb55c9e5d7ecb3624ed2dd7045ac6700949d540d152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21279",
    "kind": "arxiv",
    "version": 1
  }
}