Pith Number

pith:GDD33DRD

pith:2018:GDD33DRD5D3KQSX3RKZNOFTG2J

not attested not anchored not stored refs pending

Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings

Ryotaro Isobe, Shinya Kumashiro, Shiro Goto

arxiv:1802.08409 v2 · 2018-02-23 · 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{GDD33DRD5D3KQSX3RKZNOFTG2J}

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	2026-05-17T23:58:54.514134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c7bd8e23e8f6a84afb8ab2d71666d25140125075d390ed3eadf7365e03dd10

Aliases

arxiv: 1802.08409 · arxiv_version: 1802.08409v2 · doi: 10.48550/arxiv.1802.08409 · pith_short_12: GDD33DRD5D3K · pith_short_16: GDD33DRD5D3KQSX3 · pith_short_8: GDD33DRD

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/GDD33DRD5D3KQSX3RKZNOFTG2J \
  | 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: 30c7bd8e23e8f6a84afb8ab2d71666d25140125075d390ed3eadf7365e03dd10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fa5043e5cee1023652c358808871980fc68d658b968bf61221d72ea9351ba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-23T06:49:51Z",
    "title_canon_sha256": "d5c1e9c24f9fcf26598b85a5aa66c72078210597e2d0475cc838cce6fde8e1d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08409",
    "kind": "arxiv",
    "version": 2
  }
}