Pith Number

pith:QHZGCRME

pith:2016:QHZGCRME5QO66IHTTG3WR3AN2G

not attested not anchored not stored refs pending

The Probability of Primeness for Specially Structured Polynomial Matrices over Finite Fields with Applications to Linear Systems and Convolutional Codes

Julia Lieb

arxiv:1609.02310 v2 · 2016-09-08 · math.DS · cs.IT · 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{QHZGCRME5QO66IHTTG3WR3AN2G}

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	2026-05-18T00:46:55.573956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f2614584ec1def20f399b768ec0dd180d04b5cf3644fb43f46040847cf5675

Aliases

arxiv: 1609.02310 · arxiv_version: 1609.02310v2 · doi: 10.48550/arxiv.1609.02310 · pith_short_12: QHZGCRME5QO6 · pith_short_16: QHZGCRME5QO66IHT · pith_short_8: QHZGCRME

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/QHZGCRME5QO66IHTTG3WR3AN2G \
  | 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: 81f2614584ec1def20f399b768ec0dd180d04b5cf3644fb43f46040847cf5675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bee18c1ecfd4cc81449c3a81feacad06acb7ccd379565519b6e4bc8562f32c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-08T07:39:37Z",
    "title_canon_sha256": "b4a25ed8c4e08bda05e577b854c792de051295fbb004d761b0e4c835ec8fab90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02310",
    "kind": "arxiv",
    "version": 2
  }
}