Pith Number

pith:7S3U24L5

pith:2013:7S3U24L5SLDCXDA6WK27TC2IQH

not attested not anchored not stored refs pending

An optimal Hardy-Morrey inequality

Georgios Psaradakis

arxiv:1302.4432 v1 · 2013-02-16 · 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{7S3U24L5SLDCXDA6WK27TC2IQH}

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	2026-05-18T03:10:45.874716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb74d717d92c62b8c1eb2b5f98b4881f5a14489fdc88df935f00915f7d07fb1

Aliases

arxiv: 1302.4432 · arxiv_version: 1302.4432v1 · doi: 10.48550/arxiv.1302.4432 · pith_short_12: 7S3U24L5SLDC · pith_short_16: 7S3U24L5SLDCXDA6 · pith_short_8: 7S3U24L5

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/7S3U24L5SLDCXDA6WK27TC2IQH \
  | 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: fcb74d717d92c62b8c1eb2b5f98b4881f5a14489fdc88df935f00915f7d07fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f898daf538d20774855fe13054166317ac5c84f094f19d6b029bad6a98cfc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-16T12:33:47Z",
    "title_canon_sha256": "18c51e15211852a0db9746470946fdbafb2045a90775d7a958b6017c830ef1e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4432",
    "kind": "arxiv",
    "version": 1
  }
}