Pith Number

pith:XUUDSGA4

pith:2016:XUUDSGA4NHVF4FBNOLDUFTN25D

not attested not anchored not stored refs pending

Gorenstein modifications and $\mathbb{Q}$-Gorenstein rings

Hailong Dao, Michael Wemyss, Osamu Iyama, Ryo Takahashi

arxiv:1611.04137 v1 · 2016-11-13 · math.RT · math.AC · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUUDSGA4NHVF4FBNOLDUFTN25D}

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	2026-05-18T00:59:17.410635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2839181c69ea5e142d72c742cdbae8da019eb460c8cf027c3319934a96fe85

Aliases

arxiv: 1611.04137 · arxiv_version: 1611.04137v1 · doi: 10.48550/arxiv.1611.04137 · pith_short_12: XUUDSGA4NHVF · pith_short_16: XUUDSGA4NHVF4FBN · pith_short_8: XUUDSGA4

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/XUUDSGA4NHVF4FBNOLDUFTN25D \
  | 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: bd2839181c69ea5e142d72c742cdbae8da019eb460c8cf027c3319934a96fe85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d130c0bb4f415da21797ff3bcf1398a81e4c25a052b4375c669c10eeb4f569",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-13T13:46:15Z",
    "title_canon_sha256": "feecfc6214f2253d9141bd6923d3eb76c8bb8bb6732291ed45284c6cd674e020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04137",
    "kind": "arxiv",
    "version": 1
  }
}