pith. sign in
Pith Number

pith:2T3JA272

pith:2015:2T3JA272JDA7ETSMB5FWCXPR76
not attested not anchored not stored refs pending

Some semi-direct products with free algebras of symmetric invariants

Oksana Yakimova

arxiv:1510.01093 v3 · 2015-10-05 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2T3JA272JDA7ETSMB5FWCXPR76}

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 2026-05-18T00:27:28.531368Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4f6906bfa48c1f24e4c0f4b615df1ffbd2a837661ea9242bc1c1e1527b70b1b

Aliases

arxiv: 1510.01093 · arxiv_version: 1510.01093v3 · doi: 10.48550/arxiv.1510.01093 · pith_short_12: 2T3JA272JDA7 · pith_short_16: 2T3JA272JDA7ETSM · pith_short_8: 2T3JA272
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2T3JA272JDA7ETSMB5FWCXPR76 \
  | 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: d4f6906bfa48c1f24e4c0f4b615df1ffbd2a837661ea9242bc1c1e1527b70b1b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb7aa8e40fff5612d95b9dbc427d866b5d9d58edbdf32ce1f51dedaa92a75b4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-05T10:49:48Z",
    "title_canon_sha256": "379f792bd774e961839d500eed085a4f4c681cddffb47f9c61138cf7af149fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01093",
    "kind": "arxiv",
    "version": 3
  }
}