Pith Number

pith:ABRELWO2

pith:2015:ABRELWO2LN6PMAEFIFRAP7CMIF

not attested not anchored not stored refs pending

The equations defining blowup algebras of height three Gorenstein ideals

Andrew R. Kustin, Bernd Ulrich, Claudia Polini

arxiv:1505.05210 v2 · 2015-05-19 · 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{ABRELWO2LN6PMAEFIFRAP7CMIF}

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	2026-05-18T00:21:00.476843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006245d9da5b7cf60085416207fc4c41607d06800dce18cfb6e79ad23665f936

Aliases

arxiv: 1505.05210 · arxiv_version: 1505.05210v2 · doi: 10.48550/arxiv.1505.05210 · pith_short_12: ABRELWO2LN6P · pith_short_16: ABRELWO2LN6PMAEF · pith_short_8: ABRELWO2

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/ABRELWO2LN6PMAEFIFRAP7CMIF \
  | 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: 006245d9da5b7cf60085416207fc4c41607d06800dce18cfb6e79ad23665f936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1b1acd92374f051b2a1823b3600c4152c7e4afa3c88a4f4582035328912819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-19T23:33:46Z",
    "title_canon_sha256": "aaf4f64ae15e8ff5800b1afcc094fe8e4f078a93fc207fc8f1b75370a598a588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05210",
    "kind": "arxiv",
    "version": 2
  }
}