Pith Number

pith:QP2YHWYJ

pith:2015:QP2YHWYJL72FHXMWLSCBALE6AK

not attested not anchored not stored refs pending

Some $s$-numbers of an integral operator of Hardy type in Banach function spaces

Amiran Gogatishvili, David Edmunds, Nino Samashvili, Tengiz Kopaliani

arxiv:1507.08854 v1 · 2015-07-31 · math.FA · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP2YHWYJL72FHXMWLSCBALE6AK}

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	2026-05-18T01:36:02.722757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f583db095ff453dd965c84102c9e02b01744cb35de1da91525f4ce22a5a102

Aliases

arxiv: 1507.08854 · arxiv_version: 1507.08854v1 · doi: 10.48550/arxiv.1507.08854 · pith_short_12: QP2YHWYJL72F · pith_short_16: QP2YHWYJL72FHXMW · pith_short_8: QP2YHWYJ

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/QP2YHWYJL72FHXMWLSCBALE6AK \
  | 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: 83f583db095ff453dd965c84102c9e02b01744cb35de1da91525f4ce22a5a102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691082330f6ed2c7a4eb3d774562a43f3f1878e753d1b43d5082f7cfc1bdd13a",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-31T12:29:50Z",
    "title_canon_sha256": "796dbf23811a960ee5d670575cc57370341dfe6eeaf73d63ab0ac496eed466f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08854",
    "kind": "arxiv",
    "version": 1
  }
}