Pith Number

pith:LGUD7BQV

pith:2017:LGUD7BQVY7QAKN3Y3ARAK7TK2N

not attested not anchored not stored refs pending

Lattices of minimal covolume in SL_n(R)

Fran\c{c}ois Thilmany

arxiv:1705.09742 v2 · 2017-05-26 · math.GR · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGUD7BQVY7QAKN3Y3ARAK7TK2N}

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	2026-05-18T00:11:43.525925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a83f8615c7e0053778d822057e6ad36ea37b1449b05b3bba72e6f6e313b309

Aliases

arxiv: 1705.09742 · arxiv_version: 1705.09742v2 · doi: 10.48550/arxiv.1705.09742 · pith_short_12: LGUD7BQVY7QA · pith_short_16: LGUD7BQVY7QAKN3Y · pith_short_8: LGUD7BQV

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/LGUD7BQVY7QAKN3Y3ARAK7TK2N \
  | 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: 59a83f8615c7e0053778d822057e6ad36ea37b1449b05b3bba72e6f6e313b309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51beba2fcb397daaf4e9483ce1452eb1a7d0ff5b5922275bdcc835cdc92e23a7",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-26T23:48:35Z",
    "title_canon_sha256": "4804d6228257a0aa300d1b9bf12c44faf8c56fe4dbe95c61cb06260ab1290e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09742",
    "kind": "arxiv",
    "version": 2
  }
}