Pith Number

pith:TRXDKEPQ

pith:2018:TRXDKEPQOERGCEBLWJTM3WSEHK

not attested not anchored not stored refs pending

A Variant of Yano's Extrapolation Theorem on Hardy Spaces

Odysseas Bakas

arxiv:1806.02238 v1 · 2018-06-06 · math.CA · math.CV · 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{TRXDKEPQOERGCEBLWJTM3WSEHK}

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	2026-05-18T00:14:02.173488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6e3511f0712261102bb266cdda443ab3efa3aa07cc86fdf53ac7c3fb2723a6

Aliases

arxiv: 1806.02238 · arxiv_version: 1806.02238v1 · doi: 10.48550/arxiv.1806.02238 · pith_short_12: TRXDKEPQOERG · pith_short_16: TRXDKEPQOERGCEBL · pith_short_8: TRXDKEPQ

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/TRXDKEPQOERGCEBLWJTM3WSEHK \
  | 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: 9c6e3511f0712261102bb266cdda443ab3efa3aa07cc86fdf53ac7c3fb2723a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c43f9fa7c7617b668fedf5731e6729c03803af6711bc07e9311d35cd587ce8",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-06T15:15:47Z",
    "title_canon_sha256": "950fb26c287443ab6ad50affa250bb1839ddaf856f421937f28c2c4ae9b930de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02238",
    "kind": "arxiv",
    "version": 1
  }
}