{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3ELXSWB566UDCK46FLPOX56KQ7","short_pith_number":"pith:3ELXSWB5","canonical_record":{"source":{"id":"1603.09245","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-30T15:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"c3e060fdb65023c84108ca3446ad5ba79be3c58584161d455a9760ecd90c50a4","abstract_canon_sha256":"6d7dc0dfa15e09af8e6b228f899227ecb8e9e765c8d16745661d8af56e2124d9"},"schema_version":"1.0"},"canonical_sha256":"d91779583df7a8312b9e2adeebf7ca87dff460cfe71a68c7848317aa0c3d1e25","source":{"kind":"arxiv","id":"1603.09245","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09245","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09245v1","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09245","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"3ELXSWB566UD","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3ELXSWB566UDCK46","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3ELXSWB5","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3ELXSWB566UDCK46FLPOX56KQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1603.09245","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-30T15:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"c3e060fdb65023c84108ca3446ad5ba79be3c58584161d455a9760ecd90c50a4","abstract_canon_sha256":"6d7dc0dfa15e09af8e6b228f899227ecb8e9e765c8d16745661d8af56e2124d9"},"schema_version":"1.0"},"canonical_sha256":"d91779583df7a8312b9e2adeebf7ca87dff460cfe71a68c7848317aa0c3d1e25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:35.902678Z","signature_b64":"DG4AChhBlASrhwROrNWqBsRxnOGNF2KOWw1EL4F1kWAOIa8aIaldTdWDK69WXnb9YerRPQ7gweyuicTcyxP9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d91779583df7a8312b9e2adeebf7ca87dff460cfe71a68c7848317aa0c3d1e25","last_reissued_at":"2026-05-18T01:09:35.902329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:35.902329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.09245","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":"2026-05-18T01:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hoa4pFrG+tLTGU4oHFvnZrFN2NuJcobFoVR0WThkU50G8d22Srp7Od/Xf+VgLXbO/+A29wMjN4pBFJg74TayBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:10:14.691627Z"},"content_sha256":"eea299e496d1384fde8c596cdc36397444d8e3cb71666cb656fabe08e3f7c3f4","schema_version":"1.0","event_id":"sha256:eea299e496d1384fde8c596cdc36397444d8e3cb71666cb656fabe08e3f7c3f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3ELXSWB566UDCK46FLPOX56KQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight-binding lattices with an oscillating imaginary gauge field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Stefano Longhi","submitted_at":"2016-03-30T15:24:52Z","abstract_excerpt":"We consider non-Hermitian dynamics of a quantum particle hopping on a one-dimensional tight-binding lattice made of $N$ sites with asymmetric hopping rates induced by a time-periodic oscillating imaginary gauge field. A deeply different behavior is found depending on the lattice topology. While in a linear chain (open boundary conditions) an oscillating field can lead to a complex quasi energy spectrum via a multiple parametric resonance, in a ring topology (Born-von Karman periodic boundary conditions) an entirely real quasi energy spectrum can be found and the dynamics is pseudo-Hermitian. I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09245","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":"2026-05-18T01:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axJUg4H8q4AYLyQepFHDRWjNciOAAGDb8dvADrn91BZB90gWDApq4zEu1T311xQHuKPzaW+bw11NgNLx9R2xCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:10:14.691979Z"},"content_sha256":"98b32f108512cec597984ea5a0b128612079687bb1ef0282340e765ac1c528d8","schema_version":"1.0","event_id":"sha256:98b32f108512cec597984ea5a0b128612079687bb1ef0282340e765ac1c528d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ELXSWB566UDCK46FLPOX56KQ7/bundle.json","state_url":"https://pith.science/pith/3ELXSWB566UDCK46FLPOX56KQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ELXSWB566UDCK46FLPOX56KQ7/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":"2026-05-20T14:10:14Z","links":{"resolver":"https://pith.science/pith/3ELXSWB566UDCK46FLPOX56KQ7","bundle":"https://pith.science/pith/3ELXSWB566UDCK46FLPOX56KQ7/bundle.json","state":"https://pith.science/pith/3ELXSWB566UDCK46FLPOX56KQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ELXSWB566UDCK46FLPOX56KQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3ELXSWB566UDCK46FLPOX56KQ7","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":"6d7dc0dfa15e09af8e6b228f899227ecb8e9e765c8d16745661d8af56e2124d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-30T15:24:52Z","title_canon_sha256":"c3e060fdb65023c84108ca3446ad5ba79be3c58584161d455a9760ecd90c50a4"},"schema_version":"1.0","source":{"id":"1603.09245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.09245","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.09245v1","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.09245","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"3ELXSWB566UD","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3ELXSWB566UDCK46","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3ELXSWB5","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:98b32f108512cec597984ea5a0b128612079687bb1ef0282340e765ac1c528d8","target":"graph","created_at":"2026-05-18T01:09:35Z","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 consider non-Hermitian dynamics of a quantum particle hopping on a one-dimensional tight-binding lattice made of $N$ sites with asymmetric hopping rates induced by a time-periodic oscillating imaginary gauge field. A deeply different behavior is found depending on the lattice topology. While in a linear chain (open boundary conditions) an oscillating field can lead to a complex quasi energy spectrum via a multiple parametric resonance, in a ring topology (Born-von Karman periodic boundary conditions) an entirely real quasi energy spectrum can be found and the dynamics is pseudo-Hermitian. I","authors_text":"Stefano Longhi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-30T15:24:52Z","title":"Tight-binding lattices with an oscillating imaginary gauge field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09245","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:eea299e496d1384fde8c596cdc36397444d8e3cb71666cb656fabe08e3f7c3f4","target":"record","created_at":"2026-05-18T01:09:35Z","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":"6d7dc0dfa15e09af8e6b228f899227ecb8e9e765c8d16745661d8af56e2124d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-30T15:24:52Z","title_canon_sha256":"c3e060fdb65023c84108ca3446ad5ba79be3c58584161d455a9760ecd90c50a4"},"schema_version":"1.0","source":{"id":"1603.09245","kind":"arxiv","version":1}},"canonical_sha256":"d91779583df7a8312b9e2adeebf7ca87dff460cfe71a68c7848317aa0c3d1e25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d91779583df7a8312b9e2adeebf7ca87dff460cfe71a68c7848317aa0c3d1e25","first_computed_at":"2026-05-18T01:09:35.902329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:35.902329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DG4AChhBlASrhwROrNWqBsRxnOGNF2KOWw1EL4F1kWAOIa8aIaldTdWDK69WXnb9YerRPQ7gweyuicTcyxP9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:35.902678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.09245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eea299e496d1384fde8c596cdc36397444d8e3cb71666cb656fabe08e3f7c3f4","sha256:98b32f108512cec597984ea5a0b128612079687bb1ef0282340e765ac1c528d8"],"state_sha256":"4e4dd37050fbe736c4b4aae14d2cfdf309a6632abbac528a0a2dfac8034e60c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/goPqSX5xXvnJLjz7ZitjZkvuA7E7KOhwYyvAaFcbYCE4iAhmiQ1ZbeCh/y487kZnAEVNPaaEBAZz6EDbvN2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T14:10:14.694432Z","bundle_sha256":"eb63500a69a6d98a559ec896f0bd66f78cd969098ef61758d1b4fa752d34b48f"}}