Pith Number

pith:66KOBQ4S

pith:2017:66KOBQ4SBC67TANSXGXHGFCVNV

not attested not anchored not stored refs pending

Characterization of generalized Gorenstein rings

Naoki Taniguchi, Ryotaro Isobe, Shinya Kumashiro, Shiro Goto

arxiv:1704.08901 v1 · 2017-04-28 · 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{66KOBQ4SBC67TANSXGXHGFCVNV}

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	2026-05-18T00:45:25.031749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f794e0c39208bdf981b2b9ae7314556d7bf9edc11dfdd80128a3863d6e6c2176

Aliases

arxiv: 1704.08901 · arxiv_version: 1704.08901v1 · doi: 10.48550/arxiv.1704.08901 · pith_short_12: 66KOBQ4SBC67 · pith_short_16: 66KOBQ4SBC67TANS · pith_short_8: 66KOBQ4S

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/66KOBQ4SBC67TANSXGXHGFCVNV \
  | 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: f794e0c39208bdf981b2b9ae7314556d7bf9edc11dfdd80128a3863d6e6c2176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca91147e97c20848a82b7d161ae00df82264a898afd767237e9560ac4215a6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-04-28T12:29:05Z",
    "title_canon_sha256": "c128f3004b760e6f317ad55eed40b0dddaf703426185c154b9012493faa74a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08901",
    "kind": "arxiv",
    "version": 1
  }
}