Pith Number

pith:HCYQC2ND

pith:2025:HCYQC2NDOFUMTY2AJTBOL5V4ZK

not attested not anchored not stored refs pending

When do pseudo-Gorenstein rings become Gorenstein?

Sora Miyashita

arxiv:2502.01133 v6 · 2025-02-03 · 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{HCYQC2NDOFUMTY2AJTBOL5V4ZK}

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.

Cited by

1 paper in Pith

Canonical traces of graded fiber products: applications to disconnected Stanley--Reisner rings

Receipt and verification

First computed	2026-07-05T11:26:25.730128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b10169a37168c9e3404cc2e5f6bcca8f1c7ac0b38e60199b03bcde89ad870b

Aliases

arxiv: 2502.01133 · arxiv_version: 2502.01133v6 · doi: 10.48550/arxiv.2502.01133 · pith_short_12: HCYQC2NDOFUM · pith_short_16: HCYQC2NDOFUMTY2A · pith_short_8: HCYQC2ND

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/HCYQC2NDOFUMTY2AJTBOL5V4ZK \
  | 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: 38b10169a37168c9e3404cc2e5f6bcca8f1c7ac0b38e60199b03bcde89ad870b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94538466d261db6971d0ebd4e235302162ced1675a76221315afa55f37cf4743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-02-03T07:59:21Z",
    "title_canon_sha256": "fd353043f74197cba1561dd47474c6cf24ac7436e7bed7dfa110c09b10d4748b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01133",
    "kind": "arxiv",
    "version": 6
  }
}