Pith Number

pith:4G233BPJ

pith:2017:4G233BPJIOQRBFGYRWRPCTRCLW

not attested not anchored not stored refs pending

Separable equivalence of rings and symmetric algebras

Lars Kadison

arxiv:1710.09251 v4 · 2017-10-25 · 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{4G233BPJIOQRBFGYRWRPCTRCLW}

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	2026-05-17T23:54:11.765042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b5bd85e943a11094d88da2f14e225d848e19d542a4cbad982d22cb31800e13

Aliases

arxiv: 1710.09251 · arxiv_version: 1710.09251v4 · doi: 10.48550/arxiv.1710.09251 · pith_short_12: 4G233BPJIOQR · pith_short_16: 4G233BPJIOQRBFGY · pith_short_8: 4G233BPJ

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/4G233BPJIOQRBFGYRWRPCTRCLW \
  | 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: e1b5bd85e943a11094d88da2f14e225d848e19d542a4cbad982d22cb31800e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e603c9ac119d995327dfc12848d36e0c6428dbf45ee3a91eca31803878bc35b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-10-25T14:25:19Z",
    "title_canon_sha256": "3a3e91326de7e3f79613607b9942ebaabc1325e586ea9b2e1e2921a9d6f38007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09251",
    "kind": "arxiv",
    "version": 4
  }
}