Pith Number

pith:MBPYTQ2I

pith:2012:MBPYTQ2IXTBRUTP3PJVDOG3FK3

not attested not anchored not stored refs pending

Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces

E. Ostrovsky, L. Sirota

arxiv:1208.2392 v1 · 2012-08-12 · 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{MBPYTQ2IXTBRUTP3PJVDOG3FK3}

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	2026-05-18T03:48:57.995844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605f89c348bcc31a4dfb7a6a371b6556cdb33c5483bc4bb01e8d9ad948d0bcc7

Aliases

arxiv: 1208.2392 · arxiv_version: 1208.2392v1 · doi: 10.48550/arxiv.1208.2392 · pith_short_12: MBPYTQ2IXTBR · pith_short_16: MBPYTQ2IXTBRUTP3 · pith_short_8: MBPYTQ2I

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/MBPYTQ2IXTBRUTP3PJVDOG3FK3 \
  | 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: 605f89c348bcc31a4dfb7a6a371b6556cdb33c5483bc4bb01e8d9ad948d0bcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7763eacb6b0b21867a2b9311fa2fcebb1adb67665f751bc8bdb6ec1ee4cff285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-12T02:59:43Z",
    "title_canon_sha256": "ace78561622f7122f8d30604fd8b979179b3679ecd8648dfeef70d365ebf8529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2392",
    "kind": "arxiv",
    "version": 1
  }
}