Pith Number

pith:LLRE5DKF

pith:2019:LLRE5DKF77V3GG473QAUUMWGQL

not attested not anchored not stored refs pending

Note on Pairwise Negative Dependence of Randomized Rank-1 Lattices

Marcin Wnuk, Michael Gnewuch

arxiv:1903.02261 v2 · 2019-03-06 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLRE5DKF77V3GG473QAUUMWGQL}

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	2026-06-04T20:13:58.657927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae24e8d45ffebb31b9fdc014a32c682cc6dd4f5e301caa0e7e83f9cc83c3df0

Aliases

arxiv: 1903.02261 · arxiv_version: 1903.02261v2 · doi: 10.48550/arxiv.1903.02261 · pith_short_12: LLRE5DKF77V3 · pith_short_16: LLRE5DKF77V3GG47 · pith_short_8: LLRE5DKF

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/LLRE5DKF77V3GG473QAUUMWGQL \
  | 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: 5ae24e8d45ffebb31b9fdc014a32c682cc6dd4f5e301caa0e7e83f9cc83c3df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7acc8f21b98c8ed9fb4adbe8200212a62ab16e82c840c6c5817cae3991f0c09",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-06T09:30:51Z",
    "title_canon_sha256": "475b6400e93ef9b82d13be213507897c962a26985420f10c18d366bfaed4af9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02261",
    "kind": "arxiv",
    "version": 2
  }
}