Pith Number

pith:TWZ2LZDT

pith:2026:TWZ2LZDTJ3TYHYQ6ETCKRIIJCF

not attested not anchored not stored refs pending

A Median Version of Hardy's Inequality

Gangsong Leng

arxiv:2605.25366 v1 · 2026-05-25 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWZ2LZDTJ3TYHYQ6ETCKRIIJCF}

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	2026-05-26T02:04:31.146244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db3a5e4734ee783e21e24c4a8a10911400b431ca5042e07cf24e4a3b3e58309

Aliases

arxiv: 2605.25366 · arxiv_version: 2605.25366v1 · doi: 10.48550/arxiv.2605.25366 · pith_short_12: TWZ2LZDTJ3TY · pith_short_16: TWZ2LZDTJ3TYHYQ6 · pith_short_8: TWZ2LZDT

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/TWZ2LZDTJ3TYHYQ6ETCKRIIJCF \
  | 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: 9db3a5e4734ee783e21e24c4a8a10911400b431ca5042e07cf24e4a3b3e58309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13321a0f5781a71a169a64a151e0c0aca7809b4d2c618c0086f55e67de390259",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-25T02:44:53Z",
    "title_canon_sha256": "2889d862ab92e5567e7189b102686c4a293c5b473f041e2b3e8b5ea7c5f9367c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25366",
    "kind": "arxiv",
    "version": 1
  }
}