Pith Number

pith:JLGORULT

pith:2015:JLGORULT6VLPSOE2Y5Y3UWUS4O

not attested not anchored not stored refs pending

The local optimality of the double lattice packing

W\"oden Kusner, Yoav Kallus

arxiv:1509.02241 v1 · 2015-09-08 · 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{JLGORULT6VLPSOE2Y5Y3UWUS4O}

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	2026-05-18T00:38:18.831959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4acce8d173f556f9389ac771ba5a92e3835cf92169234d760d3097a0eee0cc03

Aliases

arxiv: 1509.02241 · arxiv_version: 1509.02241v1 · doi: 10.48550/arxiv.1509.02241 · pith_short_12: JLGORULT6VLP · pith_short_16: JLGORULT6VLPSOE2 · pith_short_8: JLGORULT

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/JLGORULT6VLPSOE2Y5Y3UWUS4O \
  | 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: 4acce8d173f556f9389ac771ba5a92e3835cf92169234d760d3097a0eee0cc03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc1a2586fffe46a9259a0423d05c77745061ca3c367b3949df997b41af83ad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-08T01:32:00Z",
    "title_canon_sha256": "16b2111fc51d0e7d675f6107538c3b594a917aec763c2b10eca558f76a5a0b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02241",
    "kind": "arxiv",
    "version": 1
  }
}