Pith Number

pith:572DQ7L7

pith:2026:572DQ7L7JFRQUCLKC2HF7Y5KY7

not attested not anchored not stored refs pending

On classical and Gorenstein homological invariants of rings

Jos\'e Manuel Fresneda

arxiv:2606.00736 v1 · 2026-05-30 · 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{572DQ7L7JFRQUCLKC2HF7Y5KY7}

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	2026-06-02T01:04:04.191108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff4387d7f49630a096a168e5fe3aac7f7242479b7dc12bc7f542fdb8d4d2b9a

Aliases

arxiv: 2606.00736 · arxiv_version: 2606.00736v1 · doi: 10.48550/arxiv.2606.00736 · pith_short_12: 572DQ7L7JFRQ · pith_short_16: 572DQ7L7JFRQUCLK · pith_short_8: 572DQ7L7

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/572DQ7L7JFRQUCLKC2HF7Y5KY7 \
  | 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: eff4387d7f49630a096a168e5fe3aac7f7242479b7dc12bc7f542fdb8d4d2b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ca8eae1232d1405a8118169d78f5eb6d00d49484d7e4f973d5efd022d1ef63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-05-30T14:02:04Z",
    "title_canon_sha256": "699f987728e48b0d2879cbefda51713513a89a4703ed3d5c29f7a07481ae6fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00736",
    "kind": "arxiv",
    "version": 1
  }
}