Pith Number

pith:JEZ3U4MI

pith:2009:JEZ3U4MIV6EWLSQ725UDCPG4LN

not attested not anchored not stored refs pending

$G$-prime and $G$-primary $G$-ideals on $G$-schemes

Mitsuhiro Miyazaki, Mitsuyasu Hashimoto

arxiv:0906.1441 v4 · 2009-06-08 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEZ3U4MIV6EWLSQ725UDCPG4LN}

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	2026-05-18T02:41:51.233207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4933ba7188af8965ca1fd768313cdc5b4793c2bb519ca68cb94b1adc4f5ce4f9

Aliases

arxiv: 0906.1441 · arxiv_version: 0906.1441v4 · doi: 10.48550/arxiv.0906.1441 · pith_short_12: JEZ3U4MIV6EW · pith_short_16: JEZ3U4MIV6EWLSQ7 · pith_short_8: JEZ3U4MI

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/JEZ3U4MIV6EWLSQ725UDCPG4LN \
  | 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: 4933ba7188af8965ca1fd768313cdc5b4793c2bb519ca68cb94b1adc4f5ce4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20e5e3071941e75efeda326348501681a85a6c9db25cacbdc421c5e9b2957a8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-06-08T09:12:54Z",
    "title_canon_sha256": "8cdc385690b1f1f7ae78df943720d624d5a8950fb7f4904046dca2048a98c20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1441",
    "kind": "arxiv",
    "version": 4
  }
}