Pith Number

pith:JUIF5JEC

pith:2016:JUIF5JEC45Q5TB4TGW2FIK33GA

not attested not anchored not stored refs pending

Commutators of trace zero matrices over principal ideal rings

Alexander Stasinski

arxiv:1607.07205 v2 · 2016-07-25 · 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{JUIF5JEC45Q5TB4TGW2FIK33GA}

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	2026-05-18T00:50:29.370437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d105ea482e761d9879335b4542b7b3038ca9c10a29d2001d66c7cbc6ef9a24c

Aliases

arxiv: 1607.07205 · arxiv_version: 1607.07205v2 · doi: 10.48550/arxiv.1607.07205 · pith_short_12: JUIF5JEC45Q5 · pith_short_16: JUIF5JEC45Q5TB4T · pith_short_8: JUIF5JEC

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/JUIF5JEC45Q5TB4TGW2FIK33GA \
  | 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: 4d105ea482e761d9879335b4542b7b3038ca9c10a29d2001d66c7cbc6ef9a24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d8ebd8e6e316feb027745d0aabb6c4b72820ff15739128b7752c9d13e6a20d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-25T11:08:09Z",
    "title_canon_sha256": "fb14f5567b16034b6a559dc4c701422841fb632b2b9a1611b298c1fa80ac6f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07205",
    "kind": "arxiv",
    "version": 2
  }
}