Pith Number

pith:BEIPP7JO

pith:2018:BEIPP7JONPCNEQFS7BBZQI7YZP

not attested not anchored not stored refs pending

Self-improvement of pointwise Hardy inequality

Antti V. V\"ah\"akangas, Sylvester Eriksson-Bique

arxiv:1810.07614 v1 · 2018-10-17 · math.CA · 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{BEIPP7JONPCNEQFS7BBZQI7YZP}

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	2026-05-18T00:02:55.630249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0910f7fd2e6bc4d240b2f8439823f8cbca3f19e0dca94898ee1c2b297ff90b12

Aliases

arxiv: 1810.07614 · arxiv_version: 1810.07614v1 · doi: 10.48550/arxiv.1810.07614 · pith_short_12: BEIPP7JONPCN · pith_short_16: BEIPP7JONPCNEQFS · pith_short_8: BEIPP7JO

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/BEIPP7JONPCNEQFS7BBZQI7YZP \
  | 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: 0910f7fd2e6bc4d240b2f8439823f8cbca3f19e0dca94898ee1c2b297ff90b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626e700ae66cafc5f6f9fba2c027d80f1e1f759d42b658ef8d5f2e59262ed1b5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-17T15:29:54Z",
    "title_canon_sha256": "e04bc1ea2962674c9196f4c8bf31bfb43a3e4d2931865daae3e2a1db5224be93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07614",
    "kind": "arxiv",
    "version": 1
  }
}