Pith Number

pith:JACSWBEB

pith:2017:JACSWBEBUSFOXJBTNEOGP7Q5BA

not attested not anchored not stored refs pending

The Frobenius morphism in invariant theory

Michel Van den Bergh, Theo Raedschelders, \v{S}pela \v{S}penko

arxiv:1705.01832 v4 · 2017-05-04 · math.AG · math.AC · math.RA · 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{JACSWBEBUSFOXJBTNEOGP7Q5BA}

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	2026-05-18T00:42:17.174935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48052b0481a48aeba433691c67fe1d08236f92deb58c8fe5a8ec5ae86debcc9c

Aliases

arxiv: 1705.01832 · arxiv_version: 1705.01832v4 · doi: 10.48550/arxiv.1705.01832 · pith_short_12: JACSWBEBUSFO · pith_short_16: JACSWBEBUSFOXJBT · pith_short_8: JACSWBEB

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/JACSWBEBUSFOXJBTNEOGP7Q5BA \
  | 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: 48052b0481a48aeba433691c67fe1d08236f92deb58c8fe5a8ec5ae86debcc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a022d3e0f47a62e51bf7541c0e588286e8da134a131813cc026801717938a98",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-04T13:23:12Z",
    "title_canon_sha256": "024a3759c29248c76150c83e3cf7830c5200cdb5ca710b94c37bd925a1b8bda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01832",
    "kind": "arxiv",
    "version": 4
  }
}