Pith Number

pith:CPKCYV6F

pith:2023:CPKCYV6FCLV6CUOXUE2LHFKWW7

not attested not anchored not stored refs pending

G-dimensions for DG-modules over commutative DG-rings

Jiangsheng Hu, Rongmin Zhu, Xiaoyan Yang

arxiv:2304.00527 v3 · 2023-04-02 · math.AC · math.KT · 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{CPKCYV6FCLV6CUOXUE2LHFKWW7}

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	2026-05-27T14:06:33.410143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d42c57c512ebe151d7a134b39556b7d0541dabcdf4ecb7027769d0cbfca2dc

Aliases

arxiv: 2304.00527 · arxiv_version: 2304.00527v3 · doi: 10.48550/arxiv.2304.00527 · pith_short_12: CPKCYV6FCLV6 · pith_short_16: CPKCYV6FCLV6CUOX · pith_short_8: CPKCYV6F

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/CPKCYV6FCLV6CUOXUE2LHFKWW7 \
  | 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: 13d42c57c512ebe151d7a134b39556b7d0541dabcdf4ecb7027769d0cbfca2dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b6644f06718c4394162a8b399a6d4cc3b41b92320871e82e81349d99686cde",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-04-02T12:56:16Z",
    "title_canon_sha256": "616d1c2c5bcf3b9c07ccaf64373b08f00f1de520013241c0d07926179d395c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.00527",
    "kind": "arxiv",
    "version": 3
  }
}