Pith Number

pith:LTPWJ527

pith:2018:LTPWJ527QT5SQIIDI2JH5XXG5I

not attested not anchored not stored refs pending

The Optimal Constant in Generalized Hardy's Inequality

Ying Li, Yong-Hua Mao

arxiv:1808.04609 v2 · 2018-08-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTPWJ527QT5SQIIDI2JH5XXG5I}

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	2026-05-18T00:07:32.201926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cdf64f75f84fb28210346927edee6ea2fd65796cc73a945be286ba0f110ce48

Aliases

arxiv: 1808.04609 · arxiv_version: 1808.04609v2 · doi: 10.48550/arxiv.1808.04609 · pith_short_12: LTPWJ527QT5S · pith_short_16: LTPWJ527QT5SQIID · pith_short_8: LTPWJ527

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/LTPWJ527QT5SQIIDI2JH5XXG5I \
  | 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: 5cdf64f75f84fb28210346927edee6ea2fd65796cc73a945be286ba0f110ce48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39708c0a3e04ebaaa756e159bf3adbface1f5b094fcad5d949a911489dc8d524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-14T10:13:59Z",
    "title_canon_sha256": "0551dee391b401e7dc781f2933f94c42e67e525414c5bc92fbcb647763c9f571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04609",
    "kind": "arxiv",
    "version": 2
  }
}