Pith Number

pith:A3QVMZ2W

pith:2012:A3QVMZ2WC4JUDV2XW5PI2LUGCH

not attested not anchored not stored refs pending

Single-Class Genera of Positive Integral Lattices

David Lorch, Markus Kirschmer

arxiv:1208.5638 v2 · 2012-08-28 · 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{A3QVMZ2WC4JUDV2XW5PI2LUGCH}

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	2026-05-18T03:14:41.084116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e1566756171341d757b75e8d2e8611f6e9173d2e25b47d4c63efd801ff2c85

Aliases

arxiv: 1208.5638 · arxiv_version: 1208.5638v2 · doi: 10.48550/arxiv.1208.5638 · pith_short_12: A3QVMZ2WC4JU · pith_short_16: A3QVMZ2WC4JUDV2X · pith_short_8: A3QVMZ2W

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/A3QVMZ2WC4JUDV2XW5PI2LUGCH \
  | 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: 06e1566756171341d757b75e8d2e8611f6e9173d2e25b47d4c63efd801ff2c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cc061f19b64157ddabbcf47218ea5a8978c6fea33c5317111feceae13328cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-28T12:17:23Z",
    "title_canon_sha256": "63250b41d6637127b46c8011aa206f1bb67e74fa8956203b508700c1a71590e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5638",
    "kind": "arxiv",
    "version": 2
  }
}