{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UEDZH6ZJO7FNJDVYUDFNNYCYRQ","short_pith_number":"pith:UEDZH6ZJ","canonical_record":{"source":{"id":"1708.08798","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-29T14:49:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"1772cd62c6397b0fbdf8ffc5864e86d317dd63cee45f1786a8e3bb8027a4f7dd","abstract_canon_sha256":"0f9ddd24084dacf952732b8acc0dc7e212e79181ab0ee82805f0d5c27f792c26"},"schema_version":"1.0"},"canonical_sha256":"a10793fb2977cad48eb8a0cad6e0588c071eaa44e7dcce62dcc04cba8f29c260","source":{"kind":"arxiv","id":"1708.08798","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08798","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08798v1","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08798","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"UEDZH6ZJO7FN","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UEDZH6ZJO7FNJDVY","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UEDZH6ZJ","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UEDZH6ZJO7FNJDVYUDFNNYCYRQ","target":"record","payload":{"canonical_record":{"source":{"id":"1708.08798","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-29T14:49:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"1772cd62c6397b0fbdf8ffc5864e86d317dd63cee45f1786a8e3bb8027a4f7dd","abstract_canon_sha256":"0f9ddd24084dacf952732b8acc0dc7e212e79181ab0ee82805f0d5c27f792c26"},"schema_version":"1.0"},"canonical_sha256":"a10793fb2977cad48eb8a0cad6e0588c071eaa44e7dcce62dcc04cba8f29c260","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:27.050343Z","signature_b64":"eLz7zwwg7q0p38p5Ct1e2jRQ9H8JuFWGSIbFRMtollNIPBX+lLBD70iM4YqTviv8W6+Tq+UHnPPCU5Nux9FACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a10793fb2977cad48eb8a0cad6e0588c071eaa44e7dcce62dcc04cba8f29c260","last_reissued_at":"2026-05-18T00:19:27.049656Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:27.049656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.08798","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iMiDppCg8U0W096E650J+W9XBA0E3btWA+LodNMcc+IietO2mLk0Vzx6WxLXIsonq/9O0GV4KiTLjmxmMWnbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:36:55.630802Z"},"content_sha256":"47143ef11775e14d187b55270ce1c681128b80543c04333b1d793e1e90c50d05","schema_version":"1.0","event_id":"sha256:47143ef11775e14d187b55270ce1c681128b80543c04333b1d793e1e90c50d05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UEDZH6ZJO7FNJDVYUDFNNYCYRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological edge states for disordered bosonic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Hermann Schulz-Baldes, Vittorio Peano","submitted_at":"2017-08-29T14:49:15Z","abstract_excerpt":"Quadratic bosonic Hamiltonians over a one-particle Hilbert space can be described by a Bogoliubov-de Gennes (BdG) Hamiltonian on a particle-hole Hilbert space. In general, the BdG Hamiltonian is not selfadjoint, but only $J$-selfadjoint on the particle-hole space viewed as a Krein space. Nevertheless, its energy bands can have non-trivial topological invariants like Chern numbers or winding numbers. By a thorough analysis for tight-binding models, it is proved that these invariants lead to bosonic edge modes which are robust to a large class of possibly disordered perturbations. Furthermore, g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08798","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DYF3miax/6QduyRXDpOe1g0u3vHb4GdRSW9CNsSCpSDytQL3oAC8lD4pY1z5GHaYZ+SE66WoHPa5ZSgoUB8DDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:36:55.631464Z"},"content_sha256":"867c6ea31997a50cb22de1d0045ca8d89540ced1f5e9ed8b0c31e59a422d179a","schema_version":"1.0","event_id":"sha256:867c6ea31997a50cb22de1d0045ca8d89540ced1f5e9ed8b0c31e59a422d179a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/bundle.json","state_url":"https://pith.science/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T05:36:55Z","links":{"resolver":"https://pith.science/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ","bundle":"https://pith.science/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/bundle.json","state":"https://pith.science/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEDZH6ZJO7FNJDVYUDFNNYCYRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UEDZH6ZJO7FNJDVYUDFNNYCYRQ","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":"0f9ddd24084dacf952732b8acc0dc7e212e79181ab0ee82805f0d5c27f792c26","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-29T14:49:15Z","title_canon_sha256":"1772cd62c6397b0fbdf8ffc5864e86d317dd63cee45f1786a8e3bb8027a4f7dd"},"schema_version":"1.0","source":{"id":"1708.08798","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08798","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08798v1","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08798","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"UEDZH6ZJO7FN","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UEDZH6ZJO7FNJDVY","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UEDZH6ZJ","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:867c6ea31997a50cb22de1d0045ca8d89540ced1f5e9ed8b0c31e59a422d179a","target":"graph","created_at":"2026-05-18T00:19:27Z","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"},"paper":{"abstract_excerpt":"Quadratic bosonic Hamiltonians over a one-particle Hilbert space can be described by a Bogoliubov-de Gennes (BdG) Hamiltonian on a particle-hole Hilbert space. In general, the BdG Hamiltonian is not selfadjoint, but only $J$-selfadjoint on the particle-hole space viewed as a Krein space. Nevertheless, its energy bands can have non-trivial topological invariants like Chern numbers or winding numbers. By a thorough analysis for tight-binding models, it is proved that these invariants lead to bosonic edge modes which are robust to a large class of possibly disordered perturbations. Furthermore, g","authors_text":"Hermann Schulz-Baldes, Vittorio Peano","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-29T14:49:15Z","title":"Topological edge states for disordered bosonic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08798","kind":"arxiv","version":1},"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":"sha256:47143ef11775e14d187b55270ce1c681128b80543c04333b1d793e1e90c50d05","target":"record","created_at":"2026-05-18T00:19:27Z","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":"0f9ddd24084dacf952732b8acc0dc7e212e79181ab0ee82805f0d5c27f792c26","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-29T14:49:15Z","title_canon_sha256":"1772cd62c6397b0fbdf8ffc5864e86d317dd63cee45f1786a8e3bb8027a4f7dd"},"schema_version":"1.0","source":{"id":"1708.08798","kind":"arxiv","version":1}},"canonical_sha256":"a10793fb2977cad48eb8a0cad6e0588c071eaa44e7dcce62dcc04cba8f29c260","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a10793fb2977cad48eb8a0cad6e0588c071eaa44e7dcce62dcc04cba8f29c260","first_computed_at":"2026-05-18T00:19:27.049656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:27.049656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eLz7zwwg7q0p38p5Ct1e2jRQ9H8JuFWGSIbFRMtollNIPBX+lLBD70iM4YqTviv8W6+Tq+UHnPPCU5Nux9FACg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:27.050343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08798","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47143ef11775e14d187b55270ce1c681128b80543c04333b1d793e1e90c50d05","sha256:867c6ea31997a50cb22de1d0045ca8d89540ced1f5e9ed8b0c31e59a422d179a"],"state_sha256":"0176bb994014d4c047a098df7ac126b1ecd5684a5bfc69ad60192461c220016a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdjUhrAVYPXBjaWtfonvvHWJ6upZ3LS+UMklTukOv1YE6llNgT2WnF1PIaBbc0edq/MH4ZeK5yuP3rLr2udfDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:36:55.635290Z","bundle_sha256":"39fc54666103ac39d22deaf439e711526544ba24fc6f44ea9a0151af602746b4"}}