Pith Number

pith:FGLBJVTJ

pith:2018:FGLBJVTJURMML7EJKV5BT4XDXN

not attested not anchored not stored refs pending

Proof of the Gorenstein Interval Conjecture in low socle degree

Fabrizio Zanello, Richard P. Stanley, Sung Gi Park

arxiv:1804.08745 v2 · 2018-04-23 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGLBJVTJURMML7EJKV5BT4XDXN}

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	2026-05-17T23:55:58.999960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299614d669a458c5fc89557a19f2e3bb77eff2c5a7a16c1a05b6aa8642f1e864

Aliases

arxiv: 1804.08745 · arxiv_version: 1804.08745v2 · doi: 10.48550/arxiv.1804.08745 · pith_short_12: FGLBJVTJURMM · pith_short_16: FGLBJVTJURMML7EJ · pith_short_8: FGLBJVTJ

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/FGLBJVTJURMML7EJKV5BT4XDXN \
  | 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: 299614d669a458c5fc89557a19f2e3bb77eff2c5a7a16c1a05b6aa8642f1e864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb6850b31a0bbb105432c5a405cd03a0f8d34c30c2ee78182d952172ad56d17",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-23T21:27:25Z",
    "title_canon_sha256": "6ebfd7d0ba08accb9f38664097d7cb0f11eb9a3eb377d9788c2f66c370da859e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08745",
    "kind": "arxiv",
    "version": 2
  }
}