{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6NBNC7JKPPYA2QP5QRHZ5BWJBD","short_pith_number":"pith:6NBNC7JK","canonical_record":{"source":{"id":"1607.06577","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-22T07:12:33Z","cross_cats_sorted":["cond-mat.mes-hall","physics.optics"],"title_canon_sha256":"d4b03152aeec13fc7711fcdecb5aeddece00a2d515a8d0fab388c774f296d5bc","abstract_canon_sha256":"ba51482829ecf7b57adec69133c2be626a4c23ae389b51fd1ca1dbab7a65c64f"},"schema_version":"1.0"},"canonical_sha256":"f342d17d2a7bf00d41fd844f9e86c908f47fc29dd4a19c85c0ce6ce2eac5fd95","source":{"kind":"arxiv","id":"1607.06577","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06577","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06577v2","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06577","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"pith_short_12","alias_value":"6NBNC7JKPPYA","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6NBNC7JKPPYA2QP5","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6NBNC7JK","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6NBNC7JKPPYA2QP5QRHZ5BWJBD","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06577","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-22T07:12:33Z","cross_cats_sorted":["cond-mat.mes-hall","physics.optics"],"title_canon_sha256":"d4b03152aeec13fc7711fcdecb5aeddece00a2d515a8d0fab388c774f296d5bc","abstract_canon_sha256":"ba51482829ecf7b57adec69133c2be626a4c23ae389b51fd1ca1dbab7a65c64f"},"schema_version":"1.0"},"canonical_sha256":"f342d17d2a7bf00d41fd844f9e86c908f47fc29dd4a19c85c0ce6ce2eac5fd95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:23.152706Z","signature_b64":"uBN+tkxG2oD98WwQ4eUCRnFEooOdka+uClGyrQMVCSTCjrOvnRcN0mPyDu4fwZMgrLfOq+8FCM8RzbA19fI1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f342d17d2a7bf00d41fd844f9e86c908f47fc29dd4a19c85c0ce6ce2eac5fd95","last_reissued_at":"2026-05-18T00:34:23.152268Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:23.152268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06577","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOiAIcLL3yRmPW/URo5FvAb5mjt49m+7MUgyAyTCxhtU+qnbP5BMzy+b4OXgzPcINeYN/d37UJQ+okL/dOUvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:47:47.598089Z"},"content_sha256":"a747d9afcb2073cea770b4e5da613ab3409517d60daffa37a14a154a001a863d","schema_version":"1.0","event_id":"sha256:a747d9afcb2073cea770b4e5da613ab3409517d60daffa37a14a154a001a863d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6NBNC7JKPPYA2QP5QRHZ5BWJBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal discrete continuity and invariant currents in locally symmetric effective Schr\\\"odinger arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","physics.optics"],"primary_cat":"quant-ph","authors_text":"C.V. Morfonios, F.K. Diakonos, P.A. Kalozoumis, P. Schmelcher","submitted_at":"2016-07-22T07:12:33Z","abstract_excerpt":"We develop a formalism relating nonlocal current continuity to spatial symmetries of subparts in discrete Schr\\\"odinger systems. Breaking of such local symmetries hereby generates sources or sinks for the associated nonlocal currents. The framework is applied to locally inversion-(time-) and translation-(time-) symmetric one-dimensional photonic waveguide arrays with Hermitian or non-Hermitian effective tight-binding Hamiltonians. For stationary states the nonlocal currents become translationally invariant within symmetric domains, exposing different types of local symmetry. They are further e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06577","kind":"arxiv","version":2},"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":"2026-05-18T00:34:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yoZNALj+IMs5OFQnFjy3KeRQkjLhqo0XF9AK013jeYf2NgfyrG2C+/+x/RLrby5kdokx0iMVJ6QyxYPYIAi2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:47:47.598809Z"},"content_sha256":"b3e247931c14bca93d0b8458745f91e6d4f7aa8eb2dd1f4cc0b13c2d5413bfe0","schema_version":"1.0","event_id":"sha256:b3e247931c14bca93d0b8458745f91e6d4f7aa8eb2dd1f4cc0b13c2d5413bfe0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/bundle.json","state_url":"https://pith.science/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/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":"2026-06-01T18:47:47Z","links":{"resolver":"https://pith.science/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD","bundle":"https://pith.science/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/bundle.json","state":"https://pith.science/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6NBNC7JKPPYA2QP5QRHZ5BWJBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6NBNC7JKPPYA2QP5QRHZ5BWJBD","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":"ba51482829ecf7b57adec69133c2be626a4c23ae389b51fd1ca1dbab7a65c64f","cross_cats_sorted":["cond-mat.mes-hall","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-22T07:12:33Z","title_canon_sha256":"d4b03152aeec13fc7711fcdecb5aeddece00a2d515a8d0fab388c774f296d5bc"},"schema_version":"1.0","source":{"id":"1607.06577","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06577","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06577v2","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06577","created_at":"2026-05-18T00:34:23Z"},{"alias_kind":"pith_short_12","alias_value":"6NBNC7JKPPYA","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6NBNC7JKPPYA2QP5","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6NBNC7JK","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:b3e247931c14bca93d0b8458745f91e6d4f7aa8eb2dd1f4cc0b13c2d5413bfe0","target":"graph","created_at":"2026-05-18T00:34:23Z","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":"We develop a formalism relating nonlocal current continuity to spatial symmetries of subparts in discrete Schr\\\"odinger systems. Breaking of such local symmetries hereby generates sources or sinks for the associated nonlocal currents. The framework is applied to locally inversion-(time-) and translation-(time-) symmetric one-dimensional photonic waveguide arrays with Hermitian or non-Hermitian effective tight-binding Hamiltonians. For stationary states the nonlocal currents become translationally invariant within symmetric domains, exposing different types of local symmetry. They are further e","authors_text":"C.V. Morfonios, F.K. Diakonos, P.A. Kalozoumis, P. Schmelcher","cross_cats":["cond-mat.mes-hall","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-22T07:12:33Z","title":"Nonlocal discrete continuity and invariant currents in locally symmetric effective Schr\\\"odinger arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06577","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:a747d9afcb2073cea770b4e5da613ab3409517d60daffa37a14a154a001a863d","target":"record","created_at":"2026-05-18T00:34:23Z","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":"ba51482829ecf7b57adec69133c2be626a4c23ae389b51fd1ca1dbab7a65c64f","cross_cats_sorted":["cond-mat.mes-hall","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-22T07:12:33Z","title_canon_sha256":"d4b03152aeec13fc7711fcdecb5aeddece00a2d515a8d0fab388c774f296d5bc"},"schema_version":"1.0","source":{"id":"1607.06577","kind":"arxiv","version":2}},"canonical_sha256":"f342d17d2a7bf00d41fd844f9e86c908f47fc29dd4a19c85c0ce6ce2eac5fd95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f342d17d2a7bf00d41fd844f9e86c908f47fc29dd4a19c85c0ce6ce2eac5fd95","first_computed_at":"2026-05-18T00:34:23.152268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:23.152268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uBN+tkxG2oD98WwQ4eUCRnFEooOdka+uClGyrQMVCSTCjrOvnRcN0mPyDu4fwZMgrLfOq+8FCM8RzbA19fI1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:23.152706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06577","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a747d9afcb2073cea770b4e5da613ab3409517d60daffa37a14a154a001a863d","sha256:b3e247931c14bca93d0b8458745f91e6d4f7aa8eb2dd1f4cc0b13c2d5413bfe0"],"state_sha256":"e874dc4225f2419bef97d2e2e253790bda21c1942ef04992b070b24b161b4962"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sVt7xmmlTUmkDVM+6nBW3W5eXIqMvWpToB+3uVyg0pVYyH+0l/3NPwGhpBVB8VB3gDBKPyN8NicgND07y7vBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:47:47.600800Z","bundle_sha256":"f619bb523623cdbdf982f9e54c61c86b082240f0114583926b3e7eb2d919d8ed"}}