Pith Number

pith:I5W36ZKM

pith:2026:I5W36ZKM6TALYSGDRKGPHC2GWT

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Isomoprhism of generalized Bratteli diagrams

Olena Karpel

Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.

arxiv:2605.18278 v1 · 2026-05-18 · math.DS

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\usepackage{pith}
\pithnumber{I5W36ZKM6TALYSGDRKGPHC2GWT}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We show that every generalized Bratteli diagram is isomorphic to an irreducible generalized Bratteli diagram.

C2weakest assumption

The definitions of generalized Bratteli diagrams, irreducibility, and isomorphism are set up so that the reduction to an irreducible diagram is always possible while preserving the tail equivalence relation on the path space.

C3one line summary

Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.

Receipt and verification

First computed	2026-05-20T00:05:53.128454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476dbf654cf4c0bc48c38a8cf38b46b4cad359485fabc2f3b5319024989ef360

Aliases

arxiv: 2605.18278 · arxiv_version: 2605.18278v1 · doi: 10.48550/arxiv.2605.18278 · pith_short_12: I5W36ZKM6TAL · pith_short_16: I5W36ZKM6TALYSGD · pith_short_8: I5W36ZKM

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/I5W36ZKM6TALYSGDRKGPHC2GWT \
  | 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: 476dbf654cf4c0bc48c38a8cf38b46b4cad359485fabc2f3b5319024989ef360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b0bbeacd47e311ddd673a83eb80ffe07c0a5515fc9bd5ca8d6681c1b2236143",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-18T12:11:01Z",
    "title_canon_sha256": "985e8ce95be230835b06d6579de86ab09f0f64ad22132f99acfc126e7352dcc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18278",
    "kind": "arxiv",
    "version": 1
  }
}