Pith Number

pith:K34PXAP6

pith:2008:K34PXAP6LBJSQB7O4ADGDAREOC

not attested not anchored not stored refs pending

A local construction of the Smith normal form of a matrix polynomial

Jia Yu, Jon Wilkening

arxiv:0809.2978 v2 · 2008-09-17 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K34PXAP6LBJSQB7O4ADGDAREOC}

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	2026-05-18T02:24:56.974378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f8fb81fe58532807eee00661822470a548c5ef9739fdbf92d91a6ae00e0bfa

Aliases

arxiv: 0809.2978 · arxiv_version: 0809.2978v2 · doi: 10.48550/arxiv.0809.2978 · pith_short_12: K34PXAP6LBJS · pith_short_16: K34PXAP6LBJSQB7O · pith_short_8: K34PXAP6

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/K34PXAP6LBJSQB7O4ADGDAREOC \
  | 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: 56f8fb81fe58532807eee00661822470a548c5ef9739fdbf92d91a6ae00e0bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986143ce92938778809ba52ab013953493ead38f07575fe873a786b3e97b48d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2008-09-17T18:58:42Z",
    "title_canon_sha256": "aba115cf96024702fde84cb0698a369bbe9389e9ec058be7d6b0230ddfff1a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2978",
    "kind": "arxiv",
    "version": 2
  }
}