Pith Number

pith:IYIB26FH

pith:2018:IYIB26FHDKEEBKXDHRIZ5YPATQ

not attested not anchored not stored refs pending

Optimal non-homogeneous improvements for the series expansion of Hardy's inequality

Georgios Psaradakis, Konstantinos T. Gkikas

arxiv:1805.10935 v1 · 2018-05-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYIB26FHDKEEBKXDHRIZ5YPATQ}

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	2026-05-18T00:14:48.769179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46101d78a71a8840aae33c519ee1e09c20eca788ca70ed943e3bd4c7d1013990

Aliases

arxiv: 1805.10935 · arxiv_version: 1805.10935v1 · doi: 10.48550/arxiv.1805.10935 · pith_short_12: IYIB26FHDKEE · pith_short_16: IYIB26FHDKEEBKXD · pith_short_8: IYIB26FH

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/IYIB26FHDKEEBKXDHRIZ5YPATQ \
  | 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: 46101d78a71a8840aae33c519ee1e09c20eca788ca70ed943e3bd4c7d1013990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35f39c8ddb29eb94ee35b08b43fbc98d2923bd4c0e20a5a066b1d1b5e11ab18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-28T14:19:44Z",
    "title_canon_sha256": "f960c817e4a5aa75bf40ca653b17802abfbf2101b1260d2f7136a020d26e6c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10935",
    "kind": "arxiv",
    "version": 1
  }
}