Pith Number

pith:3OMOP7NO

pith:2026:3OMOP7NOULO226UYZMODOYQE3R

not attested not anchored not stored refs pending

Majorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual Codes

Scott Duke Kominers

arxiv:2606.03482 v1 · 2026-06-02 · math.NT · cs.IT · math.CO · math.IT · 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{3OMOP7NOULO226UYZMODOYQE3R}

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	2026-06-03T01:05:58.973280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db98e7fdaea2ddad7a98cb1c376204dc5c467cb67d8ef33d0faaaa0336e1fd22

Aliases

arxiv: 2606.03482 · arxiv_version: 2606.03482v1 · doi: 10.48550/arxiv.2606.03482 · pith_short_12: 3OMOP7NOULO2 · pith_short_16: 3OMOP7NOULO226UY · pith_short_8: 3OMOP7NO

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/3OMOP7NOULO226UYZMODOYQE3R \
  | 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: db98e7fdaea2ddad7a98cb1c376204dc5c467cb67d8ef33d0faaaa0336e1fd22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac15a4cace747a5fd6db5ff264f6cdbb1513035c743928b2cf3556d9b2df1e0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-02T11:00:45Z",
    "title_canon_sha256": "da1cea903f301ad136b735859c0f8c96627c82f91f9540d375e3f4b7eacd215c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03482",
    "kind": "arxiv",
    "version": 1
  }
}