Pith Number

pith:2GRPCQ67

pith:2014:2GRPCQ67XYQIRQWO4B7FAWMVYF

not attested not anchored not stored refs pending

Two-sided bounds for $L_p$-norms of combinations of products of independent random variables

Ewa Damek, Piotr Nayar, Rafa{\l} Lata{\l}a, Tomasz Tkocz

arxiv:1404.0344 v2 · 2014-04-01 · 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{2GRPCQ67XYQIRQWO4B7FAWMVYF}

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	2026-05-18T01:17:53.401669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a2f143dfbe2088c2cee07e505995c17eb4d4b18133238350c128303a098adb

Aliases

arxiv: 1404.0344 · arxiv_version: 1404.0344v2 · doi: 10.48550/arxiv.1404.0344 · pith_short_12: 2GRPCQ67XYQI · pith_short_16: 2GRPCQ67XYQIRQWO · pith_short_8: 2GRPCQ67

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/2GRPCQ67XYQIRQWO4B7FAWMVYF \
  | 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: d1a2f143dfbe2088c2cee07e505995c17eb4d4b18133238350c128303a098adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e781867996615e79551f90c2bca3f273ec471f2ccd533cc55f8a39904c15f792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-01T18:51:09Z",
    "title_canon_sha256": "32a8041f25ed47fc47fba44da78a419ec56cd34d2d401ee9e030c72eaf266348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0344",
    "kind": "arxiv",
    "version": 2
  }
}