Pith Number

pith:SW6U3O4P

pith:2015:SW6U3O4P457YNUJC5RNHRBE5YI

not attested not anchored not stored refs pending

Multidimensional Lusin-type inequalities for Grand Lebesgue Spaces

E. Ostrovsky, L Sirota

arxiv:1502.03145 v1 · 2015-02-10 · 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{SW6U3O4P457YNUJC5RNHRBE5YI}

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	2026-05-18T02:27:20.434816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95bd4dbb8fe77f86d122ec5a78849dc214c8d40358df764e520d49095e5734ba

Aliases

arxiv: 1502.03145 · arxiv_version: 1502.03145v1 · doi: 10.48550/arxiv.1502.03145 · pith_short_12: SW6U3O4P457Y · pith_short_16: SW6U3O4P457YNUJC · pith_short_8: SW6U3O4P

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/SW6U3O4P457YNUJC5RNHRBE5YI \
  | 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: 95bd4dbb8fe77f86d122ec5a78849dc214c8d40358df764e520d49095e5734ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd006890a7518ca327bc672b1ca6b675d0fc2917f3c517f66ae4cbf4836a2fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-10T22:51:37Z",
    "title_canon_sha256": "0da8cc40454f3494ed8c4897e102c5d59f99e31241d430eac86dd32b7ed72be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03145",
    "kind": "arxiv",
    "version": 1
  }
}