Pith Number

pith:I2WU7ING

pith:2017:I2WU7INGD7VUN2WCUWB66N755I

not attested not anchored not stored refs pending

Equivalent and attained version of Hardy's inequality in $\mathbb{R}^n$

Bernhard Ruf, Cristina Tarsi, Daniele Cassani

arxiv:1711.03763 v1 · 2017-11-10 · 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{I2WU7INGD7VUN2WCUWB66N755I}

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	2026-05-18T00:30:51.516257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ad4fa1a61feb46eac2a583ef37fdea10888c256198df08312392e03ebb1358

Aliases

arxiv: 1711.03763 · arxiv_version: 1711.03763v1 · doi: 10.48550/arxiv.1711.03763 · pith_short_12: I2WU7INGD7VU · pith_short_16: I2WU7INGD7VUN2WC · pith_short_8: I2WU7ING

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/I2WU7INGD7VUN2WCUWB66N755I \
  | 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: 46ad4fa1a61feb46eac2a583ef37fdea10888c256198df08312392e03ebb1358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce5ec106e057aef6d1df19dd2354d83977791eb60ed6e291c64d61725af263f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-10T10:35:19Z",
    "title_canon_sha256": "ea7500a98200d8cd39c9b397e00c0f4f5f1a52a461ca382da91e562b831f0bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03763",
    "kind": "arxiv",
    "version": 1
  }
}