Pith Number

pith:L4Y6FMTM

pith:2010:L4Y6FMTMVOXZTSMAAHZ6I56CZZ

not attested not anchored not stored refs pending

Natural Density Distribution of Hermite Normal Forms of Integer Matrices

Gerard Maze

arxiv:1009.4826 v2 · 2010-09-24 · 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{L4Y6FMTMVOXZTSMAAHZ6I56CZZ}

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	2026-05-18T04:16:20.592203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f31e2b26cabaf99c98001f3e477c2ce73ed9f962ec40f7b6a75bd694f777f0f

Aliases

arxiv: 1009.4826 · arxiv_version: 1009.4826v2 · doi: 10.48550/arxiv.1009.4826 · pith_short_12: L4Y6FMTMVOXZ · pith_short_16: L4Y6FMTMVOXZTSMA · pith_short_8: L4Y6FMTM

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/L4Y6FMTMVOXZTSMAAHZ6I56CZZ \
  | 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: 5f31e2b26cabaf99c98001f3e477c2ce73ed9f962ec40f7b6a75bd694f777f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "831d65886cbd1049007f6fa6dfbce5dcdfbf90a2c39c32d196708d0cc106cf3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-24T12:53:53Z",
    "title_canon_sha256": "b3e5334a973e474a259dc9c6ae72bd7546ddcddd79577c803ae02c29566a29ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4826",
    "kind": "arxiv",
    "version": 2
  }
}