Pith Number

pith:Z3WWMCT6

pith:2018:Z3WWMCT6YQGMQQQW7B3AYPQXDX

not attested not anchored not stored refs pending

Sufficient and necessary conditions for generalized H\"older's inequality in p-summable sequence spaces

Al Azhary Masta, Ayen Arsisari, Fitri Apriani, Siti Fatimah, Yudi Yunika Putra

arxiv:1812.06612 v1 · 2018-12-17 · 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{Z3WWMCT6YQGMQQQW7B3AYPQXDX}

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	2026-05-17T23:58:09.735711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceed660a7ec40cc84216f8760c3e171dc354aa2b27b13574fb4a8389c442d5ea

Aliases

arxiv: 1812.06612 · arxiv_version: 1812.06612v1 · doi: 10.48550/arxiv.1812.06612 · pith_short_12: Z3WWMCT6YQGM · pith_short_16: Z3WWMCT6YQGMQQQW · pith_short_8: Z3WWMCT6

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/Z3WWMCT6YQGMQQQW7B3AYPQXDX \
  | 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: ceed660a7ec40cc84216f8760c3e171dc354aa2b27b13574fb4a8389c442d5ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46eb01aa6f81f786ad0a0e4c64f69aab1bba4afce79fb8f322fe934dcc6f057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-17T04:19:36Z",
    "title_canon_sha256": "354d0bce71caed6a82e79e6a6e537122c078a391ba866f03786bb3ea62ff20d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06612",
    "kind": "arxiv",
    "version": 1
  }
}