{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZQUDQYXPFJM2PRS2ZDTF3COKHE","short_pith_number":"pith:ZQUDQYXP","schema_version":"1.0","canonical_sha256":"cc283862ef2a59a7c65ac8e65d89ca390f020593e0f045227621670ffda66c0a","source":{"kind":"arxiv","id":"2606.17265","version":1},"attestation_state":"computed","paper":{"title":"General Method for Evaluation of Stop-Bands of Periodic Structures with Symmetric Unit Cells","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph","physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Aleksandra Pavliuk, Alexander Hvatov, Mariia Krasikova, Steffen Marburg","submitted_at":"2026-06-15T20:14:50Z","abstract_excerpt":"The mirror symmetries of a periodic unit cell are exploited to decompose the standing-wave eigenproblem at the high-symmetry vertices of the Brillouin zone into four independent sub-problems on a quarter-cell, each governed by Neumann (sound-hard) or Dirichlet (sound-soft) boundary conditions. Sorting and pairing the resulting eigenfrequencies by index along each segment of the irreducible Brillouin zone boundary yields an explicit formula for the stop-band intervals without computing the full dispersion diagram. The decomposition is exact, following directly from the representation theory of "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.17265","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-15T20:14:50Z","cross_cats_sorted":["physics.app-ph","physics.comp-ph"],"title_canon_sha256":"17f7fe89e01f0b94b4b36d52e214492f43919558e2a372fd81cd5457058fb9f5","abstract_canon_sha256":"2ede316e3271d58250691a1fa6ecbd7c27512d864303c2158bf2bc7946b498a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:07.371271Z","signature_b64":"s6DiZlgMR6hieeTVeq+hpp2nIw1FbiENFvKn1EAD13Ll7jAKrh1SJWJRUJkxMwSAU31wS3Zox6elTOx3YitrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc283862ef2a59a7c65ac8e65d89ca390f020593e0f045227621670ffda66c0a","last_reissued_at":"2026-06-19T16:10:07.370932Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:07.370932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General Method for Evaluation of Stop-Bands of Periodic Structures with Symmetric Unit Cells","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph","physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Aleksandra Pavliuk, Alexander Hvatov, Mariia Krasikova, Steffen Marburg","submitted_at":"2026-06-15T20:14:50Z","abstract_excerpt":"The mirror symmetries of a periodic unit cell are exploited to decompose the standing-wave eigenproblem at the high-symmetry vertices of the Brillouin zone into four independent sub-problems on a quarter-cell, each governed by Neumann (sound-hard) or Dirichlet (sound-soft) boundary conditions. Sorting and pairing the resulting eigenfrequencies by index along each segment of the irreducible Brillouin zone boundary yields an explicit formula for the stop-band intervals without computing the full dispersion diagram. The decomposition is exact, following directly from the representation theory of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17265","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.17265/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.17265","created_at":"2026-06-19T16:10:07.370991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.17265v1","created_at":"2026-06-19T16:10:07.370991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17265","created_at":"2026-06-19T16:10:07.370991+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZQUDQYXPFJM2","created_at":"2026-06-19T16:10:07.370991+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZQUDQYXPFJM2PRS2","created_at":"2026-06-19T16:10:07.370991+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZQUDQYXP","created_at":"2026-06-19T16:10:07.370991+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE","json":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE.json","graph_json":"https://pith.science/api/pith-number/ZQUDQYXPFJM2PRS2ZDTF3COKHE/graph.json","events_json":"https://pith.science/api/pith-number/ZQUDQYXPFJM2PRS2ZDTF3COKHE/events.json","paper":"https://pith.science/paper/ZQUDQYXP"},"agent_actions":{"view_html":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE","download_json":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE.json","view_paper":"https://pith.science/paper/ZQUDQYXP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.17265&json=true","fetch_graph":"https://pith.science/api/pith-number/ZQUDQYXPFJM2PRS2ZDTF3COKHE/graph.json","fetch_events":"https://pith.science/api/pith-number/ZQUDQYXPFJM2PRS2ZDTF3COKHE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE/action/storage_attestation","attest_author":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE/action/author_attestation","sign_citation":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE/action/citation_signature","submit_replication":"https://pith.science/pith/ZQUDQYXPFJM2PRS2ZDTF3COKHE/action/replication_record"}},"created_at":"2026-06-19T16:10:07.370991+00:00","updated_at":"2026-06-19T16:10:07.370991+00:00"}