Pith Number

pith:GSYPDOUJ

pith:2018:GSYPDOUJ2GACT37O5EQNAVHW55

not attested not anchored not stored refs pending

Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants

Dmitri I. Panyushev, Oksana S. Yakimova

arxiv:1802.07131 v1 · 2018-02-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSYPDOUJ2GACT37O5EQNAVHW55}

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	2026-05-18T00:22:53.483150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b0f1ba89d18029efeee920d054f6ef442bb92f2d6db4731049e96de10fbf5f

Aliases

arxiv: 1802.07131 · arxiv_version: 1802.07131v1 · doi: 10.48550/arxiv.1802.07131 · pith_short_12: GSYPDOUJ2GAC · pith_short_16: GSYPDOUJ2GACT37O · pith_short_8: GSYPDOUJ

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/GSYPDOUJ2GACT37O5EQNAVHW55 \
  | 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: 34b0f1ba89d18029efeee920d054f6ef442bb92f2d6db4731049e96de10fbf5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820ad7af441e00c3666dba0c3b343264eab11cf47afffe87349d2d96dca2ab25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-20T14:39:20Z",
    "title_canon_sha256": "1191865491614969a541b6099f348cd10292144bcbf5eebbe67c8f56f04f3d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07131",
    "kind": "arxiv",
    "version": 1
  }
}