{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FLYH3PUIJQAB4KW6MEFNSAXX7J","short_pith_number":"pith:FLYH3PUI","canonical_record":{"source":{"id":"1904.09607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-04-21T14:27:19Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"5256817dc27a47ca10a83eab3c94b4c07181febacde21944337b5d7cf1f48359","abstract_canon_sha256":"f2f8369e0c4019c0981fa051d5277c7444b8d288ae663d9530a1d3fa5da83a3b"},"schema_version":"1.0"},"canonical_sha256":"2af07dbe884c001e2ade610ad902f7fa5318c369bd01d54bbaa8bce5f01c37b4","source":{"kind":"arxiv","id":"1904.09607","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09607","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09607v1","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09607","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_12","alias_value":"FLYH3PUIJQAB","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_16","alias_value":"FLYH3PUIJQAB4KW6","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_8","alias_value":"FLYH3PUI","created_at":"2026-07-05T01:58:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FLYH3PUIJQAB4KW6MEFNSAXX7J","target":"record","payload":{"canonical_record":{"source":{"id":"1904.09607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-04-21T14:27:19Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"5256817dc27a47ca10a83eab3c94b4c07181febacde21944337b5d7cf1f48359","abstract_canon_sha256":"f2f8369e0c4019c0981fa051d5277c7444b8d288ae663d9530a1d3fa5da83a3b"},"schema_version":"1.0"},"canonical_sha256":"2af07dbe884c001e2ade610ad902f7fa5318c369bd01d54bbaa8bce5f01c37b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:58:53.791236Z","signature_b64":"zC8BLiRPHLH3OuO7jtbIuKNlT6tcG9+nh2L5hxfcdYYB4KMqqHGQ0hRTbGjv7DZBcwep3nSaw7ZEeYZ84IABDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2af07dbe884c001e2ade610ad902f7fa5318c369bd01d54bbaa8bce5f01c37b4","last_reissued_at":"2026-07-05T01:58:53.790827Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:58:53.790827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.09607","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":"2026-07-05T01:58:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7aq+6Ioy4/Jb6so3O+Ychj+8yKWeWeH3L2SgOOQUSp1BAdsEVbCMb3lCN8aEpFOvnSk7EyOGGMn//weVWmWtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:44:30.933934Z"},"content_sha256":"7bd44742b5f5e55a74c69145057b59f78670b4743a81828cde5381c034534fe9","schema_version":"1.0","event_id":"sha256:7bd44742b5f5e55a74c69145057b59f78670b4743a81828cde5381c034534fe9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FLYH3PUIJQAB4KW6MEFNSAXX7J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing topological phases in waveguide superlattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"physics.optics","authors_text":"Stefano Longhi","submitted_at":"2019-04-21T14:27:19Z","abstract_excerpt":"One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather general method of bulk probing topological invariants in waveguide superlattices based on spatial displacement of discretized beams. A judiciously tailored initial beam excitation of the lattice, corresponding to superposition of Wannier functions, provides a direct measure of the band gap topological numbers. For a quadrimeric superlattice, a simple bulk pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09607","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/1904.09607/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:58:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvXbSwbLupjVEixo6Zn+znEnJiTzd+Nr72MVzkEaNUB2RahCBYucX0wdLNlVFAEH4EnyuuaMaElotY5yvnP5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:44:30.934454Z"},"content_sha256":"ac693babdc0ee6460153c0fb611261f984830e4b23a958df2dd122445160fc88","schema_version":"1.0","event_id":"sha256:ac693babdc0ee6460153c0fb611261f984830e4b23a958df2dd122445160fc88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/bundle.json","state_url":"https://pith.science/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/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":"2026-08-06T08:44:30Z","links":{"resolver":"https://pith.science/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J","bundle":"https://pith.science/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/bundle.json","state":"https://pith.science/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLYH3PUIJQAB4KW6MEFNSAXX7J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FLYH3PUIJQAB4KW6MEFNSAXX7J","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":"f2f8369e0c4019c0981fa051d5277c7444b8d288ae663d9530a1d3fa5da83a3b","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-04-21T14:27:19Z","title_canon_sha256":"5256817dc27a47ca10a83eab3c94b4c07181febacde21944337b5d7cf1f48359"},"schema_version":"1.0","source":{"id":"1904.09607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09607","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09607v1","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09607","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_12","alias_value":"FLYH3PUIJQAB","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_16","alias_value":"FLYH3PUIJQAB4KW6","created_at":"2026-07-05T01:58:53Z"},{"alias_kind":"pith_short_8","alias_value":"FLYH3PUI","created_at":"2026-07-05T01:58:53Z"}],"graph_snapshots":[{"event_id":"sha256:ac693babdc0ee6460153c0fb611261f984830e4b23a958df2dd122445160fc88","target":"graph","created_at":"2026-07-05T01:58:53Z","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/1904.09607/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather general method of bulk probing topological invariants in waveguide superlattices based on spatial displacement of discretized beams. A judiciously tailored initial beam excitation of the lattice, corresponding to superposition of Wannier functions, provides a direct measure of the band gap topological numbers. For a quadrimeric superlattice, a simple bulk pr","authors_text":"Stefano Longhi","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-04-21T14:27:19Z","title":"Probing topological phases in waveguide superlattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09607","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":"sha256:7bd44742b5f5e55a74c69145057b59f78670b4743a81828cde5381c034534fe9","target":"record","created_at":"2026-07-05T01:58:53Z","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":"f2f8369e0c4019c0981fa051d5277c7444b8d288ae663d9530a1d3fa5da83a3b","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2019-04-21T14:27:19Z","title_canon_sha256":"5256817dc27a47ca10a83eab3c94b4c07181febacde21944337b5d7cf1f48359"},"schema_version":"1.0","source":{"id":"1904.09607","kind":"arxiv","version":1}},"canonical_sha256":"2af07dbe884c001e2ade610ad902f7fa5318c369bd01d54bbaa8bce5f01c37b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2af07dbe884c001e2ade610ad902f7fa5318c369bd01d54bbaa8bce5f01c37b4","first_computed_at":"2026-07-05T01:58:53.790827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:58:53.790827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zC8BLiRPHLH3OuO7jtbIuKNlT6tcG9+nh2L5hxfcdYYB4KMqqHGQ0hRTbGjv7DZBcwep3nSaw7ZEeYZ84IABDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:58:53.791236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bd44742b5f5e55a74c69145057b59f78670b4743a81828cde5381c034534fe9","sha256:ac693babdc0ee6460153c0fb611261f984830e4b23a958df2dd122445160fc88"],"state_sha256":"4c3fa867970045cd8cbd1a7bc2b002829e8bba084f4f1b6c1770e9221ea763e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MuqsXYNtFb01t0wWIZsPv0voay/fDxCrpNhOuKTTpRayDfDejNbfsjwne2Ro697s74Q2+ooVPbYPPzNjw83QAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:44:30.940140Z","bundle_sha256":"ea3e03301629b9eca95a4760ebb0023881d22b5fc590cbb9a18e1a2ed19d16bb"}}