Pith Number

pith:XG6N3SZ5

pith:2019:XG6N3SZ5Q4NMQIF22UAEEOWKHC

not attested not anchored not stored refs pending

Frobenius bimodules and flat-dominant dimensions

Changchang Xi

arxiv:1903.07921 v1 · 2019-03-19 · math.RT · math.QA · 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{XG6N3SZ5Q4NMQIF22UAEEOWKHC}

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	2026-05-17T23:50:53.470691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9bcddcb3d871ac820bad500423aca38b350d839d1619bd8227114bdbd0f73b0

Aliases

arxiv: 1903.07921 · arxiv_version: 1903.07921v1 · doi: 10.48550/arxiv.1903.07921 · pith_short_12: XG6N3SZ5Q4NM · pith_short_16: XG6N3SZ5Q4NMQIF2 · pith_short_8: XG6N3SZ5

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/XG6N3SZ5Q4NMQIF22UAEEOWKHC \
  | 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: b9bcddcb3d871ac820bad500423aca38b350d839d1619bd8227114bdbd0f73b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd5a09d44ba5184d01f3806fe18f59255638d88f7254c541da09a173521c5e2",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-19T10:21:34Z",
    "title_canon_sha256": "c7718c469b91f1d8411047a4c97be3bd5374bd82d365228c8ff1e2c2348fc598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07921",
    "kind": "arxiv",
    "version": 1
  }
}