Pith Number

pith:22GG7WAZ

pith:2010:22GG7WAZMSNUXMNBI4KZXGOKNA

not attested not anchored not stored refs pending

The Ideal Intersection Property for Groupoid Graded Rings

Johan \"Oinert, Patrik Lundstr\"om

arxiv:1001.0303 v3 · 2010-01-02 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22GG7WAZMSNUXMNBI4KZXGOKNA}

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	2026-05-18T03:37:09.468908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68c6fd819649b4bb1a147159b99ca68261d49c5f707be3072dc8ea9f7598b8b

Aliases

arxiv: 1001.0303 · arxiv_version: 1001.0303v3 · doi: 10.48550/arxiv.1001.0303 · pith_short_12: 22GG7WAZMSNU · pith_short_16: 22GG7WAZMSNUXMNB · pith_short_8: 22GG7WAZ

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/22GG7WAZMSNUXMNBI4KZXGOKNA \
  | 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: d68c6fd819649b4bb1a147159b99ca68261d49c5f707be3072dc8ea9f7598b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04730dddaaeecd49921577d544a4122d134219b5ef056be3eb5ea35a09c7f80e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-01-02T13:03:04Z",
    "title_canon_sha256": "60988501f14380960b5c86e90b3c4c1302afcd75ceab8b9814470ac76a8d7aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0303",
    "kind": "arxiv",
    "version": 3
  }
}