Pith Number

pith:YOZWFCXH

pith:2018:YOZWFCXHQJZGVHWCNDCAFYK5R7

not attested not anchored not stored refs pending

The Jordan type of graded Artinian Gorenstein algebras

Barbara Costa, Rodrigo Gondim

arxiv:1811.02072 v2 · 2018-11-05 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOZWFCXHQJZGVHWCNDCAFYK5R7}

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	2026-05-18T00:01:14.449197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b3628ae782726a9ec268c402e15d8fc3e035dcce94ff4adab20180d806397a

Aliases

arxiv: 1811.02072 · arxiv_version: 1811.02072v2 · doi: 10.48550/arxiv.1811.02072 · pith_short_12: YOZWFCXHQJZG · pith_short_16: YOZWFCXHQJZGVHWC · pith_short_8: YOZWFCXH

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/YOZWFCXHQJZGVHWCNDCAFYK5R7 \
  | 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: c3b3628ae782726a9ec268c402e15d8fc3e035dcce94ff4adab20180d806397a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acab1e60f354efec9afd5df5434e0120b6c823b889ff3337ecef878addecda48",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-05T22:45:04Z",
    "title_canon_sha256": "8bad3ff1bcb666857da8beb4d5780123fc4c7093354f4ab6c28cd54483630122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02072",
    "kind": "arxiv",
    "version": 2
  }
}