Pith Number

pith:ESEP4ZGQ

pith:2018:ESEP4ZGQI6OB46QK6B52DOCZNC

not attested not anchored not stored refs pending

Third Version of Weak Orlicz--Morrey Spaces and Its Inclusion Properties

Al Azhary Masta, Muhammad Taqiyuddin, Siti Fatimah

arxiv:1808.01698 v1 · 2018-08-05 · 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{ESEP4ZGQI6OB46QK6B52DOCZNC}

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	2026-05-18T00:08:52.126544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2488fe64d0479c1e7a0af07ba1b85968b607f81c3e0e6641abe6053a9ccfe58f

Aliases

arxiv: 1808.01698 · arxiv_version: 1808.01698v1 · doi: 10.48550/arxiv.1808.01698 · pith_short_12: ESEP4ZGQI6OB · pith_short_16: ESEP4ZGQI6OB46QK · pith_short_8: ESEP4ZGQ

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/ESEP4ZGQI6OB46QK6B52DOCZNC \
  | 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: 2488fe64d0479c1e7a0af07ba1b85968b607f81c3e0e6641abe6053a9ccfe58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c83cac31cf8d36e3efd1795df4e2060a03c86331fa216eebd0a46ce804cf87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-05T23:38:53Z",
    "title_canon_sha256": "b14bfe1f78de04be86a5d2f3ef4d30ce54687f31806f993462472e96286ebb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01698",
    "kind": "arxiv",
    "version": 1
  }
}