Pith Number

pith:TABGO47K

pith:2014:TABGO47KYF42Y7FIFJBJKPFACO

not attested not anchored not stored refs pending

Hilbert Functions of $\mathfrak S_n$-Stable Artinian Gorenstein Algebras

Andrew H. Hoefel, Anthony V. Geramita, David L. Wehlau

arxiv:1407.7228 v3 · 2014-07-27 · 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{TABGO47KYF42Y7FIFJBJKPFACO}

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	2026-05-18T01:18:52.930583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98026773eac179ac7ca82a42953ca013b1d9be0f54b5374c28759bf44cc16709

Aliases

arxiv: 1407.7228 · arxiv_version: 1407.7228v3 · doi: 10.48550/arxiv.1407.7228 · pith_short_12: TABGO47KYF42 · pith_short_16: TABGO47KYF42Y7FI · pith_short_8: TABGO47K

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/TABGO47KYF42Y7FIFJBJKPFACO \
  | 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: 98026773eac179ac7ca82a42953ca013b1d9be0f54b5374c28759bf44cc16709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ecf43e10279fe8d8d975d3986cc747e77c89a3f4bc91c1d971d4d9678c7864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-27T13:43:41Z",
    "title_canon_sha256": "f78f90635a02d79cd3bd2523c2d69da18cd99bcc3d7854d7ebad13838d1f4efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7228",
    "kind": "arxiv",
    "version": 3
  }
}