Pith Number

pith:UEEX5UN7

pith:2013:UEEX5UN7ZAFYLT2IQROB36QL6M

not attested not anchored not stored refs pending

Well-rounded sublattices of planar lattices

Michael Baake (Bielefeld), Peter Zeiner (Bielefeld), Rudolf Scharlau (Dortmund)

arxiv:1311.6306 v2 · 2013-11-25 · math.NT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEEX5UN7ZAFYLT2IQROB36QL6M}

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	2026-05-17T23:42:43.939207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1097ed1bfc80b85cf48845c1dfa0bf330805c6fddce43f12bd79fca02aaef6d

Aliases

arxiv: 1311.6306 · arxiv_version: 1311.6306v2 · doi: 10.48550/arxiv.1311.6306 · pith_short_12: UEEX5UN7ZAFY · pith_short_16: UEEX5UN7ZAFYLT2I · pith_short_8: UEEX5UN7

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/UEEX5UN7ZAFYLT2IQROB36QL6M \
  | 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: a1097ed1bfc80b85cf48845c1dfa0bf330805c6fddce43f12bd79fca02aaef6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4508f42656e12d579f893aca2ac2e86374223e37f35e7152a92e0ae184822a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-25T14:02:50Z",
    "title_canon_sha256": "cdfba36036a5c9896460178851e8d66a78bf589352caf0865a81df189f89ab5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6306",
    "kind": "arxiv",
    "version": 2
  }
}