Pith Number

pith:H4CGACHW

pith:2023:H4CGACHW3P4CPGRLLKGLGVGG4A

not attested not anchored not stored refs pending

Euclidean lattices: theory and applications

Camilla Hollanti, Lenny Fukshansky

arxiv:2307.08137 v3 · 2023-07-16 · math.NT · cs.IT · 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{H4CGACHW3P4CPGRLLKGLGVGG4A}

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	2026-07-05T07:44:43.222396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f046008f6dbf8279a2b5a8cb354c6e022276c534d2d2efdb07bd9f9ff2a9eef

Aliases

arxiv: 2307.08137 · arxiv_version: 2307.08137v3 · doi: 10.48550/arxiv.2307.08137 · pith_short_12: H4CGACHW3P4C · pith_short_16: H4CGACHW3P4CPGRL · pith_short_8: H4CGACHW

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/H4CGACHW3P4CPGRLLKGLGVGG4A \
  | 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: 3f046008f6dbf8279a2b5a8cb354c6e022276c534d2d2efdb07bd9f9ff2a9eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a960346c1baf1e94f07cb753e0a2af44e08a5b9572fc88c4ec3291726efc42aa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-16T19:20:14Z",
    "title_canon_sha256": "a70b3e40c47390487118eeea89b8de48e309db22b6e1ea539683038ff78b51e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08137",
    "kind": "arxiv",
    "version": 3
  }
}