Pith Number

pith:Y6TWC7TD

pith:2026:Y6TWC7TDTCDZF2KNBT3QENVAAS

not attested not anchored not stored refs pending

The second minimum of Barnes-Wall lattices

Gabriele Nebe

arxiv:2603.23133 v2 · 2026-03-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6TWC7TDTCDZF2KNBT3QENVAAS}

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.

Cited by

1 paper in Pith

Spectral and Isoperimetric Bounds on Flat Tori

Receipt and verification

First computed	2026-06-23T02:13:22.979129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a7617e63988792e94d0cf70236a00482004a48a32128efaa814d2f10dc28c3

Aliases

arxiv: 2603.23133 · arxiv_version: 2603.23133v2 · doi: 10.48550/arxiv.2603.23133 · pith_short_12: Y6TWC7TDTCDZ · pith_short_16: Y6TWC7TDTCDZF2KN · pith_short_8: Y6TWC7TD

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/Y6TWC7TDTCDZF2KNBT3QENVAAS \
  | 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: c7a7617e63988792e94d0cf70236a00482004a48a32128efaa814d2f10dc28c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37f301e865c27efc8572042dcff82d3e6c16f369d838f547eceb2871dbf9f3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-24T12:31:22Z",
    "title_canon_sha256": "2eaf8ae937b6d5b2941d9748ea7417ff9bce9641878acbcf260dce8c1261198c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23133",
    "kind": "arxiv",
    "version": 2
  }
}