Pith Number

pith:R6XJQ3PU

pith:2011:R6XJQ3PUV2RNR6OYATQ2FSLRED

not attested not anchored not stored refs pending

Semigroups of Composition Operators on Hardy Spaces of the half-plane

Athanasios G. Arvanitidis

arxiv:1109.5275 v1 · 2011-09-24 · 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{R6XJQ3PUV2RNR6OYATQ2FSLRED}

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	2026-05-18T04:12:20.173156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64

Aliases

arxiv: 1109.5275 · arxiv_version: 1109.5275v1 · doi: 10.48550/arxiv.1109.5275 · pith_short_12: R6XJQ3PUV2RN · pith_short_16: R6XJQ3PUV2RNR6OY · pith_short_8: R6XJQ3PU

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/R6XJQ3PUV2RNR6OYATQ2FSLRED \
  | 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: 8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5badd931a481f4f073174d604f9191f519209f6512f102dbf9f523f98609883",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-24T14:57:30Z",
    "title_canon_sha256": "9e09f32f9407d89a6d7277c63551e730cdf87fee1859e14c59fa1f6f66971e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5275",
    "kind": "arxiv",
    "version": 1
  }
}