Pith Number

pith:NSKM6TGE

pith:2017:NSKM6TGEHDQDVDMRA7V4VT7S66

not attested not anchored not stored refs pending

Uniform Probability and Natural Density of Mutually Left Coprime Polynomial Matrices over Finite Fields

Julia Lieb

arxiv:1702.08312 v2 · 2017-02-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSKM6TGEHDQDVDMRA7V4VT7S66}

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	2026-05-18T00:31:02.999219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c94cf4cc438e03a8d9107ebcacff2f796ee0065478687c732ca06c5c7770e82

Aliases

arxiv: 1702.08312 · arxiv_version: 1702.08312v2 · doi: 10.48550/arxiv.1702.08312 · pith_short_12: NSKM6TGEHDQD · pith_short_16: NSKM6TGEHDQDVDMR · pith_short_8: NSKM6TGE

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/NSKM6TGEHDQDVDMRA7V4VT7S66 \
  | 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: 6c94cf4cc438e03a8d9107ebcacff2f796ee0065478687c732ca06c5c7770e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86954d8de34c3baf4e6ddb2707dbbaf9dc22f60cb295484d9ea75fc4570cabc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-27T15:05:56Z",
    "title_canon_sha256": "3a5279d59928fab807902669716638a32c0fce8c557e4c1beb3586ca6f30904e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08312",
    "kind": "arxiv",
    "version": 2
  }
}