Pith Number

pith:ULCAFGP5

pith:2016:ULCAFGP5QWMGO6VX5SWLE236D3

not attested not anchored not stored refs pending

Koszulity for skew PBW extensions over fields

Armando Reyes, H\'ector Su\'arez

arxiv:1611.04483 v1 · 2016-11-11 · math.RA · 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{ULCAFGP5QWMGO6VX5SWLE236D3}

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	2026-05-18T00:59:13.019151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c40299fd8598677ab7ecacb26b7e1ec9fa1914bc8d7cc34c373788741bb97d

Aliases

arxiv: 1611.04483 · arxiv_version: 1611.04483v1 · doi: 10.48550/arxiv.1611.04483 · pith_short_12: ULCAFGP5QWMG · pith_short_16: ULCAFGP5QWMGO6VX · pith_short_8: ULCAFGP5

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/ULCAFGP5QWMGO6VX5SWLE236D3 \
  | 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: a2c40299fd8598677ab7ecacb26b7e1ec9fa1914bc8d7cc34c373788741bb97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce36a9b405f3f5c520f8280f3758203b868a5b904a212eee3e0554002d2c430",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-11T12:53:18Z",
    "title_canon_sha256": "ce4b51c62ca51c352cccf6ffdffd78616d02beaec18363bf996e7c8d3e04cf3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04483",
    "kind": "arxiv",
    "version": 1
  }
}