Pith Number

pith:H7QOZWWT

pith:2015:H7QOZWWT7BEN4TGRFNDE2AU3KV

not attested not anchored not stored refs pending

Gorenstein dimensions of unbounded complexes and faithfully flat change of base (With an appendix by Driss Bennis)

Fatih Koksal, Lars Winther Christensen, Li Liang

arxiv:1512.01120 v3 · 2015-12-03 · 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{H7QOZWWT7BEN4TGRFNDE2AU3KV}

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	2026-05-18T01:15:00.144138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe0ecdad3f848de4cd12b464d029b5543dbf6d0c096b6a99ec063744aa8c859

Aliases

arxiv: 1512.01120 · arxiv_version: 1512.01120v3 · doi: 10.48550/arxiv.1512.01120 · pith_short_12: H7QOZWWT7BEN · pith_short_16: H7QOZWWT7BEN4TGR · pith_short_8: H7QOZWWT

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/H7QOZWWT7BEN4TGRFNDE2AU3KV \
  | 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: 3fe0ecdad3f848de4cd12b464d029b5543dbf6d0c096b6a99ec063744aa8c859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8758806ba0e186cefd295d9953c8eb96b0b0b937542545af663daa046c5a632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-03T15:44:43Z",
    "title_canon_sha256": "279d7fbbc38bd82a77c886c0f5ab1f23f07e6617025ae70aaf4884483385fd90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01120",
    "kind": "arxiv",
    "version": 3
  }
}