{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Q262CJRQHCRM5GBENOCJVWGGNH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"31c3e28be4c73b56cb0a50b78b608e249bbe8718fb8edb81667ab18e8fd87611","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-11-29T19:00:06Z","title_canon_sha256":"41cc0757b17bc2570fbe7302cb36ac7103cdda1db479d74ab67898bf781ea13e"},"schema_version":"1.0","source":{"id":"2412.00194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.00194","created_at":"2026-07-05T11:15:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.00194v2","created_at":"2026-07-05T11:15:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.00194","created_at":"2026-07-05T11:15:40Z"},{"alias_kind":"pith_short_12","alias_value":"Q262CJRQHCRM","created_at":"2026-07-05T11:15:40Z"},{"alias_kind":"pith_short_16","alias_value":"Q262CJRQHCRM5GBE","created_at":"2026-07-05T11:15:40Z"},{"alias_kind":"pith_short_8","alias_value":"Q262CJRQ","created_at":"2026-07-05T11:15:40Z"}],"graph_snapshots":[{"event_id":"sha256:215a8639a9637b4816d7fbf4d8fbd4ced3289b4a3941e9f0259044e02f8c2a94","target":"graph","created_at":"2026-07-05T11:15:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.00194/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a comprehensive analysis of boundary phenomena in a spin-$\\frac{1}{2}$ anisotropic Heisenberg chain (XXZ-$\\frac{1}{2}$) in the gapped antiferromagnetic phase, with a particular focus on the interplay between fractionalized spin-$\\frac{1}{4} $ edge modes and a coupled spin-$\\frac{1}{2}$ impurity at the edge. Employing a combination of Bethe Ansatz, exact diagonalization, and density matrix renormalization group (DMRG) methods, we explore the intricate phase diagram that emerges when the impurity is coupled either integrably or non-integrably to the chain. For integrable antiferromagn","authors_text":"J. H. Pixley, Natan Andrei, Parameshwar R. Pasnoori, Pradip Kattel","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-11-29T19:00:06Z","title":"Edge modes and boundary impurities in the anisotropic Heisenberg spin chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.00194","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:32c5fdb475ba653dff9099a586ed3d564752d020d1b0798f391b1a6b1920f65e","target":"record","created_at":"2026-07-05T11:15:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"31c3e28be4c73b56cb0a50b78b608e249bbe8718fb8edb81667ab18e8fd87611","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-11-29T19:00:06Z","title_canon_sha256":"41cc0757b17bc2570fbe7302cb36ac7103cdda1db479d74ab67898bf781ea13e"},"schema_version":"1.0","source":{"id":"2412.00194","kind":"arxiv","version":2}},"canonical_sha256":"86bda1263038a2ce98246b849ad8c669e6e5b35100920d70be11ec63c57302ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86bda1263038a2ce98246b849ad8c669e6e5b35100920d70be11ec63c57302ee","first_computed_at":"2026-07-05T11:15:40.814048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:40.814048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GaeOawbk2TiOypi4i6g0XcqK+L2Aw6KiSeFslELjk6PwCms1WpmOoqef3spiKOXCRpdpLuBBSRIYGSaWGfj6CA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:40.814517Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.00194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32c5fdb475ba653dff9099a586ed3d564752d020d1b0798f391b1a6b1920f65e","sha256:215a8639a9637b4816d7fbf4d8fbd4ced3289b4a3941e9f0259044e02f8c2a94"],"state_sha256":"f580a93c4836d476833e06f92d463cd594cfb4db628c530e2ee868d12397ab61"}