Pith Number

pith:O2BH46KG

pith:2012:O2BH46KGOMMHMAG4A6NJGMQVNH

not attested not anchored not stored refs pending

On free resolutions of some semigroup rings

Mesut Sahin, Ralf Fr\"oberg, Valentina Barucci

arxiv:1211.4747 v2 · 2012-11-20 · 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{O2BH46KGOMMHMAG4A6NJGMQVNH}

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	2026-05-18T03:13:46.319589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76827e794673187600dc079a93321569e486ca305eddf031024c757dba817ea5

Aliases

arxiv: 1211.4747 · arxiv_version: 1211.4747v2 · doi: 10.48550/arxiv.1211.4747 · pith_short_12: O2BH46KGOMMH · pith_short_16: O2BH46KGOMMHMAG4 · pith_short_8: O2BH46KG

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/O2BH46KGOMMHMAG4A6NJGMQVNH \
  | 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: 76827e794673187600dc079a93321569e486ca305eddf031024c757dba817ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb731301fe186b2a8bef1d357df531f9ec68df8ab2de4b1e7d0cf827c83d51c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-20T13:54:01Z",
    "title_canon_sha256": "1ec7a0856f6061c4b553d8d61ca60cdceb22fdb9a696cf20ed8511a223ce9af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4747",
    "kind": "arxiv",
    "version": 2
  }
}