Pith Number

pith:PUENM42M

pith:2026:PUENM42MFQ5MOHDRS773TVKZVI

not attested not anchored not stored refs pending

Weighted Hardy inequalities involving supremum for decreasing sequences

Amiran Gogatishvili, Nurgul Kuzeubayeva, Nurzhan Bokayev, Tu\u{g}\c{c}e \"Unver

arxiv:2606.17558 v1 · 2026-06-16 · 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{PUENM42MFQ5MOHDRS773TVKZVI}

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	2026-06-19T16:10:15.931959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d08d6734c2c3ac71c7197ffb9d559aa1fd79cbca01acd032590569e788f2581

Aliases

arxiv: 2606.17558 · arxiv_version: 2606.17558v1 · doi: 10.48550/arxiv.2606.17558 · pith_short_12: PUENM42MFQ5M · pith_short_16: PUENM42MFQ5MOHDR · pith_short_8: PUENM42M

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/PUENM42MFQ5MOHDRS773TVKZVI \
  | 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: 7d08d6734c2c3ac71c7197ffb9d559aa1fd79cbca01acd032590569e788f2581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971bec2919236da33b2a7b5b971b8c3478d3325f71959a588f521a770800da25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-16T06:04:39Z",
    "title_canon_sha256": "8ab15b1b85599e9be32e6eed695ef26f6c010f635c986e951820654e28515afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17558",
    "kind": "arxiv",
    "version": 1
  }
}