Pith Number

pith:QHURROGF

pith:2012:QHURROGFTZ7H35PHTTA4LXKTUY

not attested not anchored not stored refs pending

Poincar\'e series of modules over compressed Gorenstein local rings

Liana M \c{S}ega, Maria Evelina Rossi

arxiv:1211.6514 v3 · 2012-11-28 · 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{QHURROGFTZ7H35PHTTA4LXKTUY}

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	2026-05-18T02:55:36.556132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e918b8c59e7e7df5e79cc1c5dd53a620e0e02423707134e7a88588f6baf5a5

Aliases

arxiv: 1211.6514 · arxiv_version: 1211.6514v3 · doi: 10.48550/arxiv.1211.6514 · pith_short_12: QHURROGFTZ7H · pith_short_16: QHURROGFTZ7H35PH · pith_short_8: QHURROGF

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/QHURROGFTZ7H35PHTTA4LXKTUY \
  | 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: 81e918b8c59e7e7df5e79cc1c5dd53a620e0e02423707134e7a88588f6baf5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b5aa08e40408e367e4e00afb31af34b303a774fea5ad8aabb10a7088e9a1b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-28T04:31:51Z",
    "title_canon_sha256": "d531d38e7fb740c8406b8ee20657e4122b72ece72404c16a9b084587cf13e0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6514",
    "kind": "arxiv",
    "version": 3
  }
}