Pith Number

pith:LETSJQ4L

pith:2013:LETSJQ4LA2U7N7LGX5IEHZDKZG

not attested not anchored not stored refs pending

On the rationality of Poincar\'e series of Gorenstein algebras via Macaulay's correspondence

Gianfranco Casnati, Joachim Jelisiejew, Roberto Notari

arxiv:1307.1676 v2 · 2013-07-05 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LETSJQ4LA2U7N7LGX5IEHZDKZG}

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	2026-05-18T03:03:20.828111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592724c38b06a9f6fd66bf5043e46ac9bd65910c1bdbf9924681e0159bc95e72

Aliases

arxiv: 1307.1676 · arxiv_version: 1307.1676v2 · doi: 10.48550/arxiv.1307.1676 · pith_short_12: LETSJQ4LA2U7 · pith_short_16: LETSJQ4LA2U7N7LG · pith_short_8: LETSJQ4L

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/LETSJQ4LA2U7N7LGX5IEHZDKZG \
  | 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: 592724c38b06a9f6fd66bf5043e46ac9bd65910c1bdbf9924681e0159bc95e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf8a8b4aca9a80771918f70b4ff5d94ab352d6b75aed0a95ea15b92aea803a9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-05T17:47:01Z",
    "title_canon_sha256": "284b2fb6dd1619966dc6a36d4e8de6c95d5dbe6b94e0c84a70fd76ef0c52224d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1676",
    "kind": "arxiv",
    "version": 2
  }
}