Pith Number

pith:ZRVXBFSQ

pith:2017:ZRVXBFSQP75SKAMLUNKOLM2Z6V

not attested not anchored not stored refs pending

When is $R \ltimes I$ an almost Gorenstein local ring?

Shinya Kumashiro, Shiro Goto

arxiv:1704.05961 v1 · 2017-04-20 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRVXBFSQP75SKAMLUNKOLM2Z6V}

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	2026-05-18T00:46:03.671403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6b7096507ffb25018ba354e5b359f5740e2fe3f7c3893060741ca394715598

Aliases

arxiv: 1704.05961 · arxiv_version: 1704.05961v1 · doi: 10.48550/arxiv.1704.05961 · pith_short_12: ZRVXBFSQP75S · pith_short_16: ZRVXBFSQP75SKAML · pith_short_8: ZRVXBFSQ

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/ZRVXBFSQP75SKAMLUNKOLM2Z6V \
  | 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: cc6b7096507ffb25018ba354e5b359f5740e2fe3f7c3893060741ca394715598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece7db1807874d9230586003f1bea3b895b6e8fb62090e43e8063207c4db6e51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-04-20T00:11:50Z",
    "title_canon_sha256": "e7f917b99eb8bd361bba8ff54c7ca284770fa59e3ea363c338ec807884d20db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05961",
    "kind": "arxiv",
    "version": 1
  }
}