Pith Number

pith:AZBNM57Z

pith:2019:AZBNM57ZPBACVUMLS2EVMWPSDQ

not attested not anchored not stored refs pending

Some open problems in the context of skew PBW extensions and semi-graded rings

Oswaldo Lezama

arxiv:1908.04880 v2 · 2019-08-13 · 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{AZBNM57ZPBACVUMLS2EVMWPSDQ}

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	2026-07-05T00:05:24.977373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0642d677f978402ad18b96895659f21c1ed07638aadf19369f166152d85dcecd

Aliases

arxiv: 1908.04880 · arxiv_version: 1908.04880v2 · doi: 10.48550/arxiv.1908.04880 · pith_short_12: AZBNM57ZPBAC · pith_short_16: AZBNM57ZPBACVUML · pith_short_8: AZBNM57Z

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/AZBNM57ZPBACVUMLS2EVMWPSDQ \
  | 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: 0642d677f978402ad18b96895659f21c1ed07638aadf19369f166152d85dcecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a395df6a6bae4d27378f7fa7b54d1e4705472bd0c61e4bbdc92aea7de0db892f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-13T22:27:44Z",
    "title_canon_sha256": "6deda6f1bc8df035c1815069174ff6dff34d20bb273a3695e33fe07576d625f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04880",
    "kind": "arxiv",
    "version": 2
  }
}