Pith Number

pith:7SMVH27C

pith:2016:7SMVH27CVCEDPACU4JPC4GJIN4

not attested not anchored not stored refs pending

Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic

Pavel Etingof

arxiv:1603.08133 v4 · 2016-03-26 · math.QA · math.CT · 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{7SMVH27CVCEDPACU4JPC4GJIN4}

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.

Cited by

1 paper in Pith

Lie superalgebras in characteristic 2 and mixed characteristic

Receipt and verification

First computed	2026-05-18T00:06:43.950024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9953ebe2a888378054e25e2e19286f2ff1a123e2741cd774600b7304657356

Aliases

arxiv: 1603.08133 · arxiv_version: 1603.08133v4 · doi: 10.48550/arxiv.1603.08133 · pith_short_12: 7SMVH27CVCED · pith_short_16: 7SMVH27CVCEDPACU · pith_short_8: 7SMVH27C

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/7SMVH27CVCEDPACU4JPC4GJIN4 \
  | 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: fc9953ebe2a888378054e25e2e19286f2ff1a123e2741cd774600b7304657356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaaaa9967174efddde1b78d1c6d565633b7e1bacdc788da24e129c7abcf6da1c",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-03-26T18:29:59Z",
    "title_canon_sha256": "fb611d65339075bb5adf49c33c90260cb965e064a0aab33d1c0fcb5fc0692a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08133",
    "kind": "arxiv",
    "version": 4
  }
}