Pith Number

pith:VGEIWYCZ

pith:2016:VGEIWYCZ2VUIDD3S6XRNHDE6IV

not attested not anchored not stored refs pending

Noncommutative Auslander theorem

J. J. Zhang, J.-W. He, Y.-H. Bao

arxiv:1607.06955 v4 · 2016-07-23 · 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{VGEIWYCZ2VUIDD3S6XRNHDE6IV}

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	2026-05-18T00:32:44.435283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9888b6059d568818f72f5e2d38c9e457ba6c4fd9fa211fe9d37f359b7288052

Aliases

arxiv: 1607.06955 · arxiv_version: 1607.06955v4 · doi: 10.48550/arxiv.1607.06955 · pith_short_12: VGEIWYCZ2VUI · pith_short_16: VGEIWYCZ2VUIDD3S · pith_short_8: VGEIWYCZ

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/VGEIWYCZ2VUIDD3S6XRNHDE6IV \
  | 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: a9888b6059d568818f72f5e2d38c9e457ba6c4fd9fa211fe9d37f359b7288052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05b43ebc475b3218706fb34a5a7b45d6b3249ef8dc6b6dc334311cccfff308c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-23T17:19:50Z",
    "title_canon_sha256": "44d68325ab786963b8db0c4c427c8389b0ad94ea2f2db7a442b3f921a675d4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06955",
    "kind": "arxiv",
    "version": 4
  }
}