Pith Number

pith:RB5QOYGU

pith:2010:RB5QOYGUHXQGD7LSY7VUXSQLZG

not attested not anchored not stored refs pending

Connected sums of Gorenstein local rings

H. Ananthnarayan, Luchezar L. Avramov, W. Frank Moore

arxiv:1005.1304 v2 · 2010-05-07 · 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{RB5QOYGUHXQGD7LSY7VUXSQLZG}

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	2026-05-18T04:29:34.989205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

887b0760d43de061fd72c7eb4bca0bc9be0e3395cde53e0c560752e0e724de1c

Aliases

arxiv: 1005.1304 · arxiv_version: 1005.1304v2 · doi: 10.48550/arxiv.1005.1304 · pith_short_12: RB5QOYGUHXQG · pith_short_16: RB5QOYGUHXQGD7LS · pith_short_8: RB5QOYGU

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/RB5QOYGUHXQGD7LSY7VUXSQLZG \
  | 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: 887b0760d43de061fd72c7eb4bca0bc9be0e3395cde53e0c560752e0e724de1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d3e864fc9408467f4c80640cea66f6eacbd1e6cb4747f4d71f51b03aa932fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-05-07T22:28:10Z",
    "title_canon_sha256": "cc1c8cce4ae0c287dcea22d2f6edb2fe7422a2faa12115c4a6d400a461426821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1304",
    "kind": "arxiv",
    "version": 2
  }
}