Pith Number

pith:BKXWRVDN

pith:2018:BKXWRVDNAQUIIVXKZDTDVBG37H

not attested not anchored not stored refs pending

$\sigma$-PBW Extensions of Skew $\Pi$-Armendariz Rings

Armando Reyes

arxiv:1805.11980 v1 · 2018-05-29 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKXWRVDNAQUIIVXKZDTDVBG37H}

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	2026-05-18T00:14:35.587187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aaf68d46d04288456eac8e63a84dbf9ee53a09de57c21cb7f3d9cc7654dafbe

Aliases

arxiv: 1805.11980 · arxiv_version: 1805.11980v1 · doi: 10.48550/arxiv.1805.11980 · pith_short_12: BKXWRVDNAQUI · pith_short_16: BKXWRVDNAQUIIVXK · pith_short_8: BKXWRVDN

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/BKXWRVDNAQUIIVXKZDTDVBG37H \
  | 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: 0aaf68d46d04288456eac8e63a84dbf9ee53a09de57c21cb7f3d9cc7654dafbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6bb319f989952d49123c67e5bc505bc000f9e724ff02cb57dc886ac4e568eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-05-29T11:51:35Z",
    "title_canon_sha256": "12ce1f08ed3416a2e2fcc8055006f88be7d1af845a1b221944976cb91a16d3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11980",
    "kind": "arxiv",
    "version": 1
  }
}