Pith Number

pith:PKPNZXFE

pith:2013:PKPNZXFEGDIMBMH7SLAB4TXQVQ

not attested not anchored not stored refs pending

From regular modules to von Neumann regular rings via coordinatization

Leonard D\u{a}u\c{s}, Mohamed A. Salim

arxiv:1312.1663 v1 · 2013-12-05 · 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{PKPNZXFEGDIMBMH7SLAB4TXQVQ}

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	2026-05-18T03:05:26.591153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9edcdca430d0c0b0ff92c01e4ef0ac3aa4c0287475a80e50f9a0362b167c96

Aliases

arxiv: 1312.1663 · arxiv_version: 1312.1663v1 · doi: 10.48550/arxiv.1312.1663 · pith_short_12: PKPNZXFEGDIM · pith_short_16: PKPNZXFEGDIMBMH7 · pith_short_8: PKPNZXFE

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/PKPNZXFEGDIMBMH7SLAB4TXQVQ \
  | 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: 7a9edcdca430d0c0b0ff92c01e4ef0ac3aa4c0287475a80e50f9a0362b167c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341af9829507af063d25de0e0ec7ad50186fbad9347a0361208fcad9de2268c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-05T20:01:07Z",
    "title_canon_sha256": "630b6cdfb2d208a13014a79ab9a7343f49b6f54d54fd6f74a577fc203ac3e7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1663",
    "kind": "arxiv",
    "version": 1
  }
}