Pith Number

pith:TXURWN2J

pith:2025:TXURWN2JVQYRLA5FGXIYMFZUTQ

not attested not anchored not stored refs pending

Coupled-wire construction of non-Abelian higher-order topological phases

Jiaxin Pan, Longwen Zhou

A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.

arxiv:2512.21179 v3 · 2025-12-24 · cond-mat.mes-hall · quant-ph

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\usepackage{pith}
\pithnumber{TXURWN2JVQYRLA5FGXIYMFZUTQ}

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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

The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.

C2weakest assumption

The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them.

C3one line summary

Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.

Receipt and verification

First computed	2026-05-17T23:39:16.811496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401

Aliases

arxiv: 2512.21179 · arxiv_version: 2512.21179v3 · doi: 10.48550/arxiv.2512.21179 · pith_short_12: TXURWN2JVQYR · pith_short_16: TXURWN2JVQYRLA5F · pith_short_8: TXURWN2J

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/TXURWN2JVQYRLA5FGXIYMFZUTQ \
  | 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: 9de91b3749ac311583a535d18617349c1bf68414c99783b678ee6286c79a6401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ff62fc282b66a34d9e23143361dde0863ea7cf9eaf582a20c665d420a94f6e",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-12-24T13:59:13Z",
    "title_canon_sha256": "e5c510811d3fe74aa9483eb42ffceeb03063d735fb652da3b2cb2a55b931b9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21179",
    "kind": "arxiv",
    "version": 3
  }
}