Pith Number

pith:B7IZKKLT

pith:2012:B7IZKKLTHXNDJF5YLEI6KYJ4NZ

not attested not anchored not stored refs pending

Observability, Controllability and Local Reducibility of Linear Codes on Graphs

G. David Forney, Heide Gluesing-Luerssen, Jr.

arxiv:1202.0534 v1 · 2012-02-02 · cs.IT · cs.SY · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7IZKKLTHXNDJF5YLEI6KYJ4NZ}

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	2026-05-18T00:57:57.073689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd19529733dda3497b85911e5613c6e6870f186450d4e6759de0350b2d19e3e

Aliases

arxiv: 1202.0534 · arxiv_version: 1202.0534v1 · doi: 10.48550/arxiv.1202.0534 · pith_short_12: B7IZKKLTHXND · pith_short_16: B7IZKKLTHXNDJF5Y · pith_short_8: B7IZKKLT

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/B7IZKKLTHXNDJF5YLEI6KYJ4NZ \
  | 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: 0fd19529733dda3497b85911e5613c6e6870f186450d4e6759de0350b2d19e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c963d5480fce8166fcf1e03131ce5b8c232517c4a33eefbc87fae608211fe6eb",
    "cross_cats_sorted": [
      "cs.SY",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-02T20:13:19Z",
    "title_canon_sha256": "aaae24b8ceba1bd219d1e2adee7771d28842f6e98001a15be3fd2107bc41ed3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0534",
    "kind": "arxiv",
    "version": 1
  }
}