Pith Number

pith:WXNHSWPU

pith:2013:WXNHSWPU2NI2GF7VPVVSAA4QQN

not attested not anchored not stored refs pending

Artinian Gorenstein algebras with linear resolutions

Andrew R. Kustin, Sabine El Khoury

arxiv:1306.2523 v1 · 2013-06-11 · 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{WXNHSWPU2NI2GF7VPVVSAA4QQN}

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	2026-05-18T03:21:11.227462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5da7959f4d351a317f57d6b200390836538738bc527dabed97eff0ad4ca8302

Aliases

arxiv: 1306.2523 · arxiv_version: 1306.2523v1 · doi: 10.48550/arxiv.1306.2523 · pith_short_12: WXNHSWPU2NI2 · pith_short_16: WXNHSWPU2NI2GF7V · pith_short_8: WXNHSWPU

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/WXNHSWPU2NI2GF7VPVVSAA4QQN \
  | 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: b5da7959f4d351a317f57d6b200390836538738bc527dabed97eff0ad4ca8302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fc56906bbefa5c292bd978828c87a2ff4517930f8f4400dbf700a6a8f7124e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-11T13:53:12Z",
    "title_canon_sha256": "b9b2b39de817eba78493f21d31536ad13827a7ef75127bcd9866e302bb2c6979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2523",
    "kind": "arxiv",
    "version": 1
  }
}