Pith Number

pith:7E2ZLGXI

pith:2012:7E2ZLGXIF342KNVSB55DP5A3QQ

not attested not anchored not stored refs pending

Ulrich ideals and modules

Kazuho Ozeki, Kei-ichi Watanabe, Ken-ichi Yoshida, Ryo Takahashi, Shiro Goto

arxiv:1206.3197 v2 · 2012-06-14 · math.AC · math.AG · 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{7E2ZLGXIF342KNVSB55DP5A3QQ}

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	2026-05-18T03:21:43.705835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f935959ae82ef9a536b20f7a37f41b8421cf0190722920eb83dc56bee941831e

Aliases

arxiv: 1206.3197 · arxiv_version: 1206.3197v2 · doi: 10.48550/arxiv.1206.3197 · pith_short_12: 7E2ZLGXIF342 · pith_short_16: 7E2ZLGXIF342KNVS · pith_short_8: 7E2ZLGXI

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/7E2ZLGXIF342KNVSB55DP5A3QQ \
  | 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: f935959ae82ef9a536b20f7a37f41b8421cf0190722920eb83dc56bee941831e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d356a90c67552d275c02154e94a6ddaa17a6e9d521c2925822659425b3cf73e",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-14T17:52:44Z",
    "title_canon_sha256": "75d2362a6ce13b96cc3fa51c036a3a2440277ed722d90368f39eef51e346d7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3197",
    "kind": "arxiv",
    "version": 2
  }
}