Pith Number

pith:T4N2BMFI

pith:2012:T4N2BMFILW3WCWYOCCHJORWUCG

not attested not anchored not stored refs pending

Similarity and commutators of matrices over principal ideal rings

Alexander Stasinski

arxiv:1211.6872 v2 · 2012-11-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4N2BMFILW3WCWYOCCHJORWUCG}

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	2026-05-18T03:32:44.541484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f1ba0b0a85db7615b0e108e9746d411b2cecef016573754f1c5b8220e0b7b6d

Aliases

arxiv: 1211.6872 · arxiv_version: 1211.6872v2 · doi: 10.48550/arxiv.1211.6872 · pith_short_12: T4N2BMFILW3W · pith_short_16: T4N2BMFILW3WCWYO · pith_short_8: T4N2BMFI

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/T4N2BMFILW3WCWYOCCHJORWUCG \
  | 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: 9f1ba0b0a85db7615b0e108e9746d411b2cecef016573754f1c5b8220e0b7b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0708c8a00274ba3a5fbdc06e45854e3c32eb1815151e0c295a1735816e0001c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-29T10:47:16Z",
    "title_canon_sha256": "a790a6706c23dc544bc24f9e3b9f41b7e5505690023a980f5378ce22b4b7c937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6872",
    "kind": "arxiv",
    "version": 2
  }
}