Pith Number

pith:DPASN7HQ

pith:2015:DPASN7HQUWRQNJP6ERWF7EHZP4

not attested not anchored not stored refs pending

Families of Gorenstein and almost Gorenstein rings

Francesco Strazzanti, Marco D'Anna, Valentina Barucci

arxiv:1512.07179 v1 · 2015-12-22 · 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{DPASN7HQUWRQNJP6ERWF7EHZP4}

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	2026-05-18T01:08:12.354000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc126fcf0a5a306a5fe246c5f90f97f003492ea7f46e2f06e5da5c7d0ca893d

Aliases

arxiv: 1512.07179 · arxiv_version: 1512.07179v1 · doi: 10.48550/arxiv.1512.07179 · pith_short_12: DPASN7HQUWRQ · pith_short_16: DPASN7HQUWRQNJP6 · pith_short_8: DPASN7HQ

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/DPASN7HQUWRQNJP6ERWF7EHZP4 \
  | 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: 1bc126fcf0a5a306a5fe246c5f90f97f003492ea7f46e2f06e5da5c7d0ca893d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea23723ff248a471a851a0cebca23a00c250874c711735e1474bde9f9faf1a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-22T17:59:02Z",
    "title_canon_sha256": "c13ad8514f3fa6e546c7c83f6d55bc1ae8b2937f20929b4974a4efe8f368b2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07179",
    "kind": "arxiv",
    "version": 1
  }
}