Pith Number

pith:C5QKQAJS

pith:2015:C5QKQAJSHQUNAF5UOXUTWJRMLB

not attested not anchored not stored refs pending

The asymptotic behavior of Frobenius direct images of rings of invariants

Mitsuyasu Hashimoto, Peter Symonds

arxiv:1509.02592 v1 · 2015-09-09 · math.AC · 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{C5QKQAJSHQUNAF5UOXUTWJRMLB}

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	2026-05-18T01:33:34.634964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1760a801323c28d017b475e93b262c58594da348a260fc9ef7f9d442171a0e9c

Aliases

arxiv: 1509.02592 · arxiv_version: 1509.02592v1 · doi: 10.48550/arxiv.1509.02592 · pith_short_12: C5QKQAJSHQUN · pith_short_16: C5QKQAJSHQUNAF5U · pith_short_8: C5QKQAJS

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/C5QKQAJSHQUNAF5UOXUTWJRMLB \
  | 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: 1760a801323c28d017b475e93b262c58594da348a260fc9ef7f9d442171a0e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2481e7400f8201967f4a0333bb83058408ea1006f04e77988c9d67a30110f00a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-09T01:07:04Z",
    "title_canon_sha256": "3ac5009367c97ecda862d1898dfeafe74162a5e61e34e920715078ddc19abc79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02592",
    "kind": "arxiv",
    "version": 1
  }
}