Pith Number

pith:IS4O4BOF

pith:2015:IS4O4BOFLSIWL24ZQCTRHQDWGB

not attested not anchored not stored refs pending

The short resolution of a semigroup algebra

Alberto Vigneron-Tenorio, Ignacio Ojeda

arxiv:1512.00345 v2 · 2015-12-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IS4O4BOFLSIWL24ZQCTRHQDWGB}

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	2026-05-18T00:50:01.773848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b8ee05c55c9165eb9980a713c076304d615dbc1c0201eda1767e9d01cf00ed

Aliases

arxiv: 1512.00345 · arxiv_version: 1512.00345v2 · doi: 10.48550/arxiv.1512.00345 · pith_short_12: IS4O4BOFLSIW · pith_short_16: IS4O4BOFLSIWL24Z · pith_short_8: IS4O4BOF

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/IS4O4BOFLSIWL24ZQCTRHQDWGB \
  | 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: 44b8ee05c55c9165eb9980a713c076304d615dbc1c0201eda1767e9d01cf00ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e932643c5ec844b04b15f9450a9be9b14454b26cf014d3acb9f18121d2d88e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-01T17:18:27Z",
    "title_canon_sha256": "b68d5de4c75f5f0bd4c91ff8754554279faa295272a10d86abc5c7d7a1d4cc49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00345",
    "kind": "arxiv",
    "version": 2
  }
}