Pith Number

pith:KEMG44OD

pith:2015:KEMG44ODR4DKZTGNYO2LX5543M

not attested not anchored not stored refs pending

Extensions of the Inequalities of Hardy and Hilbert

Dinesh Singh, Vern I. Paulsen

arxiv:1502.05909 v1 · 2015-02-20 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEMG44ODR4DKZTGNYO2LX5543M}

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	2026-05-18T02:26:44.528785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51186e71c38f06accccdc3b4bbf7bcdb1be16e5169808db9b168df7751015110

Aliases

arxiv: 1502.05909 · arxiv_version: 1502.05909v1 · doi: 10.48550/arxiv.1502.05909 · pith_short_12: KEMG44ODR4DK · pith_short_16: KEMG44ODR4DKZTGN · pith_short_8: KEMG44OD

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/KEMG44ODR4DKZTGNYO2LX5543M \
  | 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: 51186e71c38f06accccdc3b4bbf7bcdb1be16e5169808db9b168df7751015110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9149b730608e3960c983f52618b593ab218bc7a6acac406bd133fb5e5a46470e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-20T15:43:20Z",
    "title_canon_sha256": "7064f6b2e13aae793c566a85e64f6dc28709f350519fb8ed9608ea649431edad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05909",
    "kind": "arxiv",
    "version": 1
  }
}