Pith Number

pith:WS7KCPUD

pith:2023:WS7KCPUDALZ2Q2EXC7EJ4HOO33

not attested not anchored not stored refs pending

Sharpness of some Hardy-type inequalities

George Tephnadze, Lars-Erik Persson, Natasha Samko

arxiv:2302.12298 v1 · 2023-02-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WS7KCPUDALZ2Q2EXC7EJ4HOO33}

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	2026-07-05T05:45:07.966796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bea13e8302f3a8689717c89e1dceded78a126655b9dbb45f99418aadd06db7

Aliases

arxiv: 2302.12298 · arxiv_version: 2302.12298v1 · doi: 10.48550/arxiv.2302.12298 · pith_short_12: WS7KCPUDALZ2 · pith_short_16: WS7KCPUDALZ2Q2EX · pith_short_8: WS7KCPUD

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/WS7KCPUDALZ2Q2EXC7EJ4HOO33 \
  | 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: b4bea13e8302f3a8689717c89e1dceded78a126655b9dbb45f99418aadd06db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92af5062a3f21d9b457f41d02f3149208673c0a778b4ea48de5dd2979b89a027",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-02-18T13:20:28Z",
    "title_canon_sha256": "29205a4b1e4c0335dd2559d0e2d6dfc4f6b6a98063bc2c2c7844d299d0a329f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.12298",
    "kind": "arxiv",
    "version": 1
  }
}