Pith Number

pith:DUMQMFKW

pith:2019:DUMQMFKWCIEVDPNYHFWH2AKF6K

not attested not anchored not stored refs pending

Weighted inequalities for discrete iterated Hardy operators

Amiran Gogatishvili, Lubo\v{s} Pick, Martin K\v{r}epela, Rastislav O\v{l}hava

arxiv:1903.04313 v1 · 2019-03-11 · 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{DUMQMFKWCIEVDPNYHFWH2AKF6K}

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	2026-05-17T23:51:35.822333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d19061556120951bdb8396c7d0145f29c8d8438256c5ea7eda6e30ef9f46250

Aliases

arxiv: 1903.04313 · arxiv_version: 1903.04313v1 · doi: 10.48550/arxiv.1903.04313 · pith_short_12: DUMQMFKWCIEV · pith_short_16: DUMQMFKWCIEVDPNY · pith_short_8: DUMQMFKW

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/DUMQMFKWCIEVDPNYHFWH2AKF6K \
  | 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: 1d19061556120951bdb8396c7d0145f29c8d8438256c5ea7eda6e30ef9f46250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd6c56249b9542b5f7698d5f5d6bcc1f74b6185ff8c5d5e256082de827fd2c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-11T14:14:52Z",
    "title_canon_sha256": "66d287b9c4c7f36e5c4d7b4ebe68c76fe0b9f740fedf6af271a59141cb7489a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04313",
    "kind": "arxiv",
    "version": 1
  }
}