Pith Number

pith:6BKTCI3C

pith:2018:6BKTCI3C2C7WLTCW25KKP3GVRB

not attested not anchored not stored refs pending

On fractional Hardy inequalities in convex sets

Eleonora Cinti, Lorenzo Brasco

arxiv:1802.02354 v2 · 2018-02-07 · math.AP · 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{6BKTCI3C2C7WLTCW25KKP3GVRB}

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	2026-05-18T00:13:44.958418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f055312362d0bf65cc56d754a7ecd588404d6f9240b0cb43fde2f5ab169f7c79

Aliases

arxiv: 1802.02354 · arxiv_version: 1802.02354v2 · doi: 10.48550/arxiv.1802.02354 · pith_short_12: 6BKTCI3C2C7W · pith_short_16: 6BKTCI3C2C7WLTCW · pith_short_8: 6BKTCI3C

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/6BKTCI3C2C7WLTCW25KKP3GVRB \
  | 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: f055312362d0bf65cc56d754a7ecd588404d6f9240b0cb43fde2f5ab169f7c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535261475f8a2937df8efd802a5cc646cad506d6caf56d21ef345199254daa03",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-07T08:51:42Z",
    "title_canon_sha256": "5d0f7933cdcf01b1674ea7b4738e90047873767a21f8b78dc002fdd2a1828ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02354",
    "kind": "arxiv",
    "version": 2
  }
}