Pith Number

pith:5PT7XCIQ

pith:2016:5PT7XCIQIOKYNSJMCOUKIKEHO3

not attested not anchored not stored refs pending

Inclusion properties of Orlicz and weak Orlicz spaces

Al Azhary Masta, Hendra Gunawan, Wono Setya Budhi

arxiv:1607.03214 v1 · 2016-07-12 · 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{5PT7XCIQIOKYNSJMCOUKIKEHO3}

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	2026-05-18T01:11:09.535758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe7fb8910439586c92c13a8a4288776e20cd984e171883b8510cd641e0fece9

Aliases

arxiv: 1607.03214 · arxiv_version: 1607.03214v1 · doi: 10.48550/arxiv.1607.03214 · pith_short_12: 5PT7XCIQIOKY · pith_short_16: 5PT7XCIQIOKYNSJM · pith_short_8: 5PT7XCIQ

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/5PT7XCIQIOKYNSJMCOUKIKEHO3 \
  | 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: ebe7fb8910439586c92c13a8a4288776e20cd984e171883b8510cd641e0fece9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc68639748c5a06b80846e54e960f3ee5769d36c3ceb861aedd23fdb2d62344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-12T01:14:37Z",
    "title_canon_sha256": "d305a1def0aecfdbd41f7a96ab715de26d9932f7dce50d5b81b98a6326cd712b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03214",
    "kind": "arxiv",
    "version": 1
  }
}