Pith Number

pith:6LXLJGGK

pith:2009:6LXLJGGKEOAVPYLLSK756XBHF4

not attested not anchored not stored refs pending

Minimal realizations of linear systems: The "shortest basis" approach

G. David Forney Jr

arxiv:0910.4336 v3 · 2009-10-22 · cs.IT · cs.SY · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LXLJGGKEOAVPYLLSK756XBHF4}

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	2026-05-18T04:33:15.935084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2eeb498ca238157e16b92bfdf5c272f1c2da112724af1944152d02b930ac951

Aliases

arxiv: 0910.4336 · arxiv_version: 0910.4336v3 · doi: 10.48550/arxiv.0910.4336 · pith_short_12: 6LXLJGGKEOAV · pith_short_16: 6LXLJGGKEOAVPYLL · pith_short_8: 6LXLJGGK

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/6LXLJGGKEOAVPYLLSK756XBHF4 \
  | 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: f2eeb498ca238157e16b92bfdf5c272f1c2da112724af1944152d02b930ac951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e44bab1c09a3e901b58ef5e3bfdb1961a32599390e8899e6f8055f8156984d",
    "cross_cats_sorted": [
      "cs.SY",
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-10-22T14:23:28Z",
    "title_canon_sha256": "a6ed1224af1d141573c5cafc6c30f960ef3d98005b5b9bd205593063be0487d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4336",
    "kind": "arxiv",
    "version": 3
  }
}