{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2OP4DX5K5RR2XKLCWPJ6EY45J6","short_pith_number":"pith:2OP4DX5K","canonical_record":{"source":{"id":"1804.09975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T10:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"a2ef8856aa7d67c10f979ef1d80ae9fd81315fb05bb48514adf806d1a063b785","abstract_canon_sha256":"89fdd32fc077f63ae2aea69d91e81c5e6b4ccc9b3856771fcbec016115be4039"},"schema_version":"1.0"},"canonical_sha256":"d39fc1dfaaec63aba962b3d3e2639d4faf41772d6606d2af89f958038cf26cb7","source":{"kind":"arxiv","id":"1804.09975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09975","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09975v1","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09975","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"2OP4DX5K5RR2","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2OP4DX5K5RR2XKLC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2OP4DX5K","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2OP4DX5K5RR2XKLCWPJ6EY45J6","target":"record","payload":{"canonical_record":{"source":{"id":"1804.09975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T10:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"a2ef8856aa7d67c10f979ef1d80ae9fd81315fb05bb48514adf806d1a063b785","abstract_canon_sha256":"89fdd32fc077f63ae2aea69d91e81c5e6b4ccc9b3856771fcbec016115be4039"},"schema_version":"1.0"},"canonical_sha256":"d39fc1dfaaec63aba962b3d3e2639d4faf41772d6606d2af89f958038cf26cb7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:35.115348Z","signature_b64":"FPVPKYn/6LPgi8wOsPfwxXd/hWmq6OOZUAf0EFAgiZpl6cWtC9e2Qf0cG47UIyGYxUdWdsie1AVdcRJ/TBMbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d39fc1dfaaec63aba962b3d3e2639d4faf41772d6606d2af89f958038cf26cb7","last_reissued_at":"2026-05-18T00:02:35.114698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:35.114698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.09975","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":"2026-05-18T00:02:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MKF3jZ4BMnsEZnpb4lbTL80H/CTK3NOznXx91BnoGGB+Wim2Xvmc4iBDsVJ7PAFl/hnCpaCK62y3z0lIId5VAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:43.475703Z"},"content_sha256":"20bdbcbc5afc1fbfffd5d92940bf4ca33c24a3d2b84270d2b7c0939abab58b85","schema_version":"1.0","event_id":"sha256:20bdbcbc5afc1fbfffd5d92940bf4ca33c24a3d2b84270d2b7c0939abab58b85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2OP4DX5K5RR2XKLCWPJ6EY45J6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical topological invariant for non-Hermitian Rice-Mele model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"R. Wang, X. Z. Zhang, Z. Song","submitted_at":"2018-04-26T10:21:15Z","abstract_excerpt":"We study a non-Hermitian Rice-Mele model without breaking time-reversal symmetry, with the non-Hermiticity arising from imbalanced hopping rates. The Berry connection, Berry curvature and Chern number are introduced in the context of biorthonormal inner product. It is shown that for a bulk system, although the Berry connection can be complex numbers, the Chern number is still quantized, as topological invariant. For an opened chain system, the mid-gap edge modes are obtained exactly, obeying the bulk-edge correspondence. Furthermore, we also introduce a local current in the context of biorthon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09975","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":"2026-05-18T00:02:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mpyftYbLi4FKjeegqUt1nSi3R1KwkHOXHdv7sjPGrwvPOo50ssxR+m97CuOZs5U6SHfvtugijlpNDgTKfdRJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:43.476060Z"},"content_sha256":"c76e10af34b2853ad46853181fc2df753feafec10364eb5ad854e48cb37fd20c","schema_version":"1.0","event_id":"sha256:c76e10af34b2853ad46853181fc2df753feafec10364eb5ad854e48cb37fd20c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/bundle.json","state_url":"https://pith.science/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/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":"2026-06-20T01:39:43Z","links":{"resolver":"https://pith.science/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6","bundle":"https://pith.science/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/bundle.json","state":"https://pith.science/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OP4DX5K5RR2XKLCWPJ6EY45J6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2OP4DX5K5RR2XKLCWPJ6EY45J6","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":"89fdd32fc077f63ae2aea69d91e81c5e6b4ccc9b3856771fcbec016115be4039","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T10:21:15Z","title_canon_sha256":"a2ef8856aa7d67c10f979ef1d80ae9fd81315fb05bb48514adf806d1a063b785"},"schema_version":"1.0","source":{"id":"1804.09975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09975","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09975v1","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09975","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"2OP4DX5K5RR2","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2OP4DX5K5RR2XKLC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2OP4DX5K","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:c76e10af34b2853ad46853181fc2df753feafec10364eb5ad854e48cb37fd20c","target":"graph","created_at":"2026-05-18T00:02:35Z","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 study a non-Hermitian Rice-Mele model without breaking time-reversal symmetry, with the non-Hermiticity arising from imbalanced hopping rates. The Berry connection, Berry curvature and Chern number are introduced in the context of biorthonormal inner product. It is shown that for a bulk system, although the Berry connection can be complex numbers, the Chern number is still quantized, as topological invariant. For an opened chain system, the mid-gap edge modes are obtained exactly, obeying the bulk-edge correspondence. Furthermore, we also introduce a local current in the context of biorthon","authors_text":"R. Wang, X. Z. Zhang, Z. Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T10:21:15Z","title":"Dynamical topological invariant for non-Hermitian Rice-Mele model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09975","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":"sha256:20bdbcbc5afc1fbfffd5d92940bf4ca33c24a3d2b84270d2b7c0939abab58b85","target":"record","created_at":"2026-05-18T00:02:35Z","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":"89fdd32fc077f63ae2aea69d91e81c5e6b4ccc9b3856771fcbec016115be4039","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-26T10:21:15Z","title_canon_sha256":"a2ef8856aa7d67c10f979ef1d80ae9fd81315fb05bb48514adf806d1a063b785"},"schema_version":"1.0","source":{"id":"1804.09975","kind":"arxiv","version":1}},"canonical_sha256":"d39fc1dfaaec63aba962b3d3e2639d4faf41772d6606d2af89f958038cf26cb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d39fc1dfaaec63aba962b3d3e2639d4faf41772d6606d2af89f958038cf26cb7","first_computed_at":"2026-05-18T00:02:35.114698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:35.114698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPVPKYn/6LPgi8wOsPfwxXd/hWmq6OOZUAf0EFAgiZpl6cWtC9e2Qf0cG47UIyGYxUdWdsie1AVdcRJ/TBMbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:35.115348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20bdbcbc5afc1fbfffd5d92940bf4ca33c24a3d2b84270d2b7c0939abab58b85","sha256:c76e10af34b2853ad46853181fc2df753feafec10364eb5ad854e48cb37fd20c"],"state_sha256":"d30c1d6f2380354d0b282ea4455ec1fcdabc565af3d1b666caba80fd9d002887"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r+ZrIrHB/FaftMlIzC6b6IoziSoUvh1EsgVyNdC+6d8KcAIz3Mv+VmZdkJkYoVlrsDbP53uyUslAmLUw9L6eBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T01:39:43.477951Z","bundle_sha256":"c924a363cb70489b2bd98f5ae0615e08be8e013c7f783a6656535cb9bf3afdc2"}}