Pith Number

pith:J657BN6P

pith:2015:J657BN6P5D7ACC5HRPQAFKZ7FG

not attested not anchored not stored refs pending

A Note on $*$-Clean Rings

Jian Cui, Zhou Wang

arxiv:1501.02964 v1 · 2015-01-13 · 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{J657BN6P5D7ACC5HRPQAFKZ7FG}

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	2026-05-18T02:29:30.785897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fbbf0b7cfe8fe010ba78be002ab3f29a61bd2df274b2db40b3fe4bbcff3b877

Aliases

arxiv: 1501.02964 · arxiv_version: 1501.02964v1 · doi: 10.48550/arxiv.1501.02964 · pith_short_12: J657BN6P5D7A · pith_short_16: J657BN6P5D7ACC5H · pith_short_8: J657BN6P

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/J657BN6P5D7ACC5HRPQAFKZ7FG \
  | 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: 4fbbf0b7cfe8fe010ba78be002ab3f29a61bd2df274b2db40b3fe4bbcff3b877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f5a64d98ed149decc4ba96f0add2a947f29193ae7db556e73f46c5e27175fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-13T11:29:30Z",
    "title_canon_sha256": "a89bfbbbe40ab8df4ef9f4eda0c273ba76b65b32fe033e2ff4ecbd9f2fdce4d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02964",
    "kind": "arxiv",
    "version": 1
  }
}