Pith Number

pith:TZZHVFIL

pith:2017:TZZHVFILKSAWWP3YTB2LNH3SLN

not attested not anchored not stored refs pending

Generalized H\"older's inequality on Morrey spaces

Al Azhary Masta, Hendra Gunawan, Ifronika, Mochammad Idris

arxiv:1706.01659 v2 · 2017-06-06 · math.AP · 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{TZZHVFILKSAWWP3YTB2LNH3SLN}

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	2026-05-18T00:23:08.839958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e727a950b54816b3f789874b69f725b671ee9d57ec1e3f1fa79ea3906f4df33

Aliases

arxiv: 1706.01659 · arxiv_version: 1706.01659v2 · doi: 10.48550/arxiv.1706.01659 · pith_short_12: TZZHVFILKSAW · pith_short_16: TZZHVFILKSAWWP3Y · pith_short_8: TZZHVFIL

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/TZZHVFILKSAWWP3YTB2LNH3SLN \
  | 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: 9e727a950b54816b3f789874b69f725b671ee9d57ec1e3f1fa79ea3906f4df33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07828407479c6d129b4f0b5cb51e9d91a26210d5e1caca8241e47efe765e8708",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-06T08:51:31Z",
    "title_canon_sha256": "1f7b2035b183584d16d3f5192cb3de38ef39963698310c41b23beaf8baa94a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01659",
    "kind": "arxiv",
    "version": 2
  }
}