Pith Number

pith:3F5G6PNN

pith:2013:3F5G6PNNLBTWTJ3WEFCXAIK2EZ

not attested not anchored not stored refs pending

Improved H\"older and reverse H\"{o}lder inequalities for correlated Gaussian random vectors

Grigoris Paouris, Nikos Dafnis, Wei-Kuo Chen

arxiv:1306.2410 v2 · 2013-06-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F5G6PNNLBTWTJ3WEFCXAIK2EZ}

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	2026-05-18T03:11:12.946837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97a6f3dad586769a776214570215a26620520c6ce11794c82c9016d321b8f94

Aliases

arxiv: 1306.2410 · arxiv_version: 1306.2410v2 · doi: 10.48550/arxiv.1306.2410 · pith_short_12: 3F5G6PNNLBTW · pith_short_16: 3F5G6PNNLBTWTJ3W · pith_short_8: 3F5G6PNN

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/3F5G6PNNLBTWTJ3WEFCXAIK2EZ \
  | 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: d97a6f3dad586769a776214570215a26620520c6ce11794c82c9016d321b8f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c37d7fdcdea6d1279eafecdb14904c62596198061bec1df8c135f4cf456d63f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-11T02:41:35Z",
    "title_canon_sha256": "124e22ce27dcfeb922fbac69aee018067e09bf5079c4d172680b7b642864b1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2410",
    "kind": "arxiv",
    "version": 2
  }
}