Pith Number

pith:OSPHJULB

pith:2020:OSPHJULBS7RSTHYBT6TYAP6FL6

not attested not anchored not stored refs pending

Integration operators in average radial integrability spaces of analytic functions

Luis Rodr\'iguez-Piazza, Manuel D. Contreras, Tanaus\'u Aguilar-Hern\'andez

arxiv:2005.10909 v1 · 2020-05-21 · 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{OSPHJULBS7RSTHYBT6TYAP6FL6}

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	2026-07-05T01:05:03.518414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

749e74d16197e3299f019fa7803fc55f83bdfd3eb0b8ac8288805caebc1dde8f

Aliases

arxiv: 2005.10909 · arxiv_version: 2005.10909v1 · doi: 10.48550/arxiv.2005.10909 · pith_short_12: OSPHJULBS7RS · pith_short_16: OSPHJULBS7RSTHYB · pith_short_8: OSPHJULB

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/OSPHJULBS7RSTHYBT6TYAP6FL6 \
  | 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: 749e74d16197e3299f019fa7803fc55f83bdfd3eb0b8ac8288805caebc1dde8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b697b9e15a6a99c1bf273add3027cd774e302c28e909523edcaa3b9c6c4dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-05-21T21:13:14Z",
    "title_canon_sha256": "6e160ddbcee2151f51b78ebff81bf9dca8946272ad705b222bfc6b7184496aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.10909",
    "kind": "arxiv",
    "version": 1
  }
}