{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:LP3GI6NQ2LR5NTUO6O324IAS7A","short_pith_number":"pith:LP3GI6NQ","schema_version":"1.0","canonical_sha256":"5bf66479b0d2e3d6ce8ef3b7ae2012f800dc5c64f80be7db402554bacab6a969","source":{"kind":"arxiv","id":"2506.19771","version":1},"attestation_state":"computed","paper":{"title":"Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Parameshwar R. Pasnoori, Patrick Azaria","submitted_at":"2025-06-24T16:36:01Z","abstract_excerpt":"We solve the one dimensional massive Thirring model or equivalently the sine-Gordon model in the repulsive regime with general Dirichlet boundary conditions, which are characterized by two boundary fields $\\phi_{L,R}$ associated with the left and right boundaries respectively. In the presence of these boundary fields, which explicitly break the charge conjugation symmetry, the system exhibits a duality symmetry which changes the sign of the mass parameter $m_0$ and shifts the values of the boundary fields by $\\phi_{L,R}\\rightarrow \\phi_{L,R}+\\pi$. When the mass parameter $m_0<0$ and the bounda"},"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":"2506.19771","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-24T16:36:01Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"c1ebced60fc9f40f984b7310bf90c96cbcc93d77e93ea05f3f58ef868bf7b3fb","abstract_canon_sha256":"37d8370f34f114090274a2bc015040e0325bdd347f188fbe83fe00371dd8a9b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:38.676800Z","signature_b64":"9qOJtBVYHDyMAfXMqwirLHmQg6eTTfOYt92IDLq5rojPbaUKE6LWbEbTM7sBgpHBuMvdd14oeSsM4b28tpuyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bf66479b0d2e3d6ce8ef3b7ae2012f800dc5c64f80be7db402554bacab6a969","last_reissued_at":"2026-07-05T11:26:38.676311Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:38.676311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interplay between Symmetry Breaking and Interactions in a Symmetry Protected Topological Phase","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Parameshwar R. Pasnoori, Patrick Azaria","submitted_at":"2025-06-24T16:36:01Z","abstract_excerpt":"We solve the one dimensional massive Thirring model or equivalently the sine-Gordon model in the repulsive regime with general Dirichlet boundary conditions, which are characterized by two boundary fields $\\phi_{L,R}$ associated with the left and right boundaries respectively. In the presence of these boundary fields, which explicitly break the charge conjugation symmetry, the system exhibits a duality symmetry which changes the sign of the mass parameter $m_0$ and shifts the values of the boundary fields by $\\phi_{L,R}\\rightarrow \\phi_{L,R}+\\pi$. When the mass parameter $m_0<0$ and the bounda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19771","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/2506.19771/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":"2506.19771","created_at":"2026-07-05T11:26:38.676377+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.19771v1","created_at":"2026-07-05T11:26:38.676377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.19771","created_at":"2026-07-05T11:26:38.676377+00:00"},{"alias_kind":"pith_short_12","alias_value":"LP3GI6NQ2LR5","created_at":"2026-07-05T11:26:38.676377+00:00"},{"alias_kind":"pith_short_16","alias_value":"LP3GI6NQ2LR5NTUO","created_at":"2026-07-05T11:26:38.676377+00:00"},{"alias_kind":"pith_short_8","alias_value":"LP3GI6NQ","created_at":"2026-07-05T11:26:38.676377+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/LP3GI6NQ2LR5NTUO6O324IAS7A","json":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A.json","graph_json":"https://pith.science/api/pith-number/LP3GI6NQ2LR5NTUO6O324IAS7A/graph.json","events_json":"https://pith.science/api/pith-number/LP3GI6NQ2LR5NTUO6O324IAS7A/events.json","paper":"https://pith.science/paper/LP3GI6NQ"},"agent_actions":{"view_html":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A","download_json":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A.json","view_paper":"https://pith.science/paper/LP3GI6NQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.19771&json=true","fetch_graph":"https://pith.science/api/pith-number/LP3GI6NQ2LR5NTUO6O324IAS7A/graph.json","fetch_events":"https://pith.science/api/pith-number/LP3GI6NQ2LR5NTUO6O324IAS7A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A/action/storage_attestation","attest_author":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A/action/author_attestation","sign_citation":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A/action/citation_signature","submit_replication":"https://pith.science/pith/LP3GI6NQ2LR5NTUO6O324IAS7A/action/replication_record"}},"created_at":"2026-07-05T11:26:38.676377+00:00","updated_at":"2026-07-05T11:26:38.676377+00:00"}