Pith Number

pith:VK4XB27B

pith:2018:VK4XB27BJ6QJWKRIJULUB5SX7E

not attested not anchored not stored refs pending

The rank of random matrices over finite fields

Amin Coja-Oghlan, Pu Gao

arxiv:1810.07390 v1 · 2018-10-17 · math.CO · cs.DM · cs.IT · 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{VK4XB27BJ6QJWKRIJULUB5SX7E}

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	2026-05-18T00:02:56.543613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab970ebe14fa09b2a284d1740f657f9375e2d2288df59b6fed4a30bd6fa3972

Aliases

arxiv: 1810.07390 · arxiv_version: 1810.07390v1 · doi: 10.48550/arxiv.1810.07390 · pith_short_12: VK4XB27BJ6QJ · pith_short_16: VK4XB27BJ6QJWKRI · pith_short_8: VK4XB27B

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/VK4XB27BJ6QJWKRIJULUB5SX7E \
  | 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: aab970ebe14fa09b2a284d1740f657f9375e2d2288df59b6fed4a30bd6fa3972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4199c64df55e873c7dd0185f3e0cbf60c1e45fd727564eb2fc6f33fd31755607",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-17T05:38:00Z",
    "title_canon_sha256": "40b76eb9be49a7f5f2b361667e25c749ff664845ca64c30f970d62c996e62ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07390",
    "kind": "arxiv",
    "version": 1
  }
}