Pith Number

pith:MZUVMIQR

pith:2010:MZUVMIQRFLX5UX4UVIJ4YMEGES

not attested not anchored not stored refs pending

Right and Left Modules over the Frobenius Skew Polynomial Ring in the F-Finite Case

Rodney Y. Sharp, Yuji Yoshino

arxiv:1008.3763 v2 · 2010-08-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZUVMIQRFLX5UX4UVIJ4YMEGES}

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	2026-05-18T02:05:43.855256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66695622112aefda5f94aa13cc308624b7c05e4d67f9b8f33965d87f05065e0e

Aliases

arxiv: 1008.3763 · arxiv_version: 1008.3763v2 · doi: 10.48550/arxiv.1008.3763 · pith_short_12: MZUVMIQRFLX5 · pith_short_16: MZUVMIQRFLX5UX4U · pith_short_8: MZUVMIQR

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/MZUVMIQRFLX5UX4UVIJ4YMEGES \
  | 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: 66695622112aefda5f94aa13cc308624b7c05e4d67f9b8f33965d87f05065e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2cf7d56cac89eac21c0f932cec7f39f9e73e26254acad5c5ff0a74a687a3bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-23T07:26:22Z",
    "title_canon_sha256": "16cb53273be8b7d1c3d85fa39c6cd778f89e2a114c0e621995b38602c2f65604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3763",
    "kind": "arxiv",
    "version": 2
  }
}