Pith Number

pith:L2ZU5O2V

pith:2016:L2ZU5O2VNMYGOMZSB2RET2MQZN

not attested not anchored not stored refs pending

Lattice based integration algorithms: Kronecker sequences and rank-1 lattices

Friedrich Pillichshammer, Josef Dick, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki

arxiv:1608.08687 v1 · 2016-08-30 · math.NA · cs.CC · 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{L2ZU5O2VNMYGOMZSB2RET2MQZN}

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	2026-06-04T18:09:58.880261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb34ebb556b306733320ea249e990cb51f623b5fb96239b2edb27d382ab4914

Aliases

arxiv: 1608.08687 · arxiv_version: 1608.08687v1 · doi: 10.48550/arxiv.1608.08687 · pith_short_12: L2ZU5O2VNMYG · pith_short_16: L2ZU5O2VNMYGOMZS · pith_short_8: L2ZU5O2V

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/L2ZU5O2VNMYGOMZSB2RET2MQZN \
  | 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: 5eb34ebb556b306733320ea249e990cb51f623b5fb96239b2edb27d382ab4914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3d70034f00dcba754a89d12a93d6d61b118577b23c2b2f4834de454b25c9b9",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-30T23:29:23Z",
    "title_canon_sha256": "da557ff913b4e2d41d2a39b0d8cfe7b622f09c9a2f1a17d684ebb396bc881536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08687",
    "kind": "arxiv",
    "version": 1
  }
}