Pith Number

pith:BP3ULOCY

pith:2019:BP3ULOCYRQI4RXR32DLCWZFS3Z

not attested not anchored not stored refs pending

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces

B{\l}a\.zej Wr\'obel, Stefano Meda

arxiv:1908.08831 v1 · 2019-08-23 · 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{BP3ULOCYRQI4RXR32DLCWZFS3Z}

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	2026-07-04T23:59:24.389114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf745b8588c11c8de3bd0d62b64b2de59ac3d4d037de9a5567e0317d9e653a5

Aliases

arxiv: 1908.08831 · arxiv_version: 1908.08831v1 · doi: 10.48550/arxiv.1908.08831 · pith_short_12: BP3ULOCYRQI4 · pith_short_16: BP3ULOCYRQI4RXR3 · pith_short_8: BP3ULOCY

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/BP3ULOCYRQI4RXR32DLCWZFS3Z \
  | 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: 0bf745b8588c11c8de3bd0d62b64b2de59ac3d4d037de9a5567e0317d9e653a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa21f873bb8b0e191b1459407979f37560414c3a9e6e73f6fd415ff0f7d8f30f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-23T14:04:07Z",
    "title_canon_sha256": "698b405b7cb56916fde2a4c1abbea001e25b886c31ed34a2a96a3c904ae26346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08831",
    "kind": "arxiv",
    "version": 1
  }
}