Pith Number

pith:6MRKGWBO

pith:2022:6MRKGWBO2GEBYCVXIBGVPTEJ6D

not attested not anchored not stored refs pending

Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices

Alina Ostafe, Igor E. Shparlinski, Philipp Habegger

arxiv:2203.03880 v5 · 2022-03-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MRKGWBO2GEBYCVXIBGVPTEJ6D}

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.

Cited by

1 paper in Pith

Galois groups of random integer matrices

Receipt and verification

First computed	2026-07-05T09:02:38.980252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f322a3582ed1881c0ab7404d57cc89f0f4ea53ef14554a5f7ce6289c49f89c55

Aliases

arxiv: 2203.03880 · arxiv_version: 2203.03880v5 · doi: 10.48550/arxiv.2203.03880 · pith_short_12: 6MRKGWBO2GEB · pith_short_16: 6MRKGWBO2GEBYCVX · pith_short_8: 6MRKGWBO

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/6MRKGWBO2GEBYCVXIBGVPTEJ6D \
  | 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: f322a3582ed1881c0ab7404d57cc89f0f4ea53ef14554a5f7ce6289c49f89c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f1ebd07021e0b23512df072251a044ddc23590920db4fc717ff1dbf8a3cdbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-03-08T06:56:26Z",
    "title_canon_sha256": "ea58270defeeb86de72065f89032ec3c1729d71482caee8f4a56354de35aeb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03880",
    "kind": "arxiv",
    "version": 5
  }
}