{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:PYA5BW5BXXYEIDRQ7D5QNHCMAZ","short_pith_number":"pith:PYA5BW5B","canonical_record":{"source":{"id":"1903.07580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-18T17:22:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e7b5f60b258dbdbe1e21146d8a3248cee0dbd34336fc23ba5581e1349fd0b697","abstract_canon_sha256":"b3722414796176e3cd93d93e181cce6f7f61da1a3e96691a5df33fa3343d313b"},"schema_version":"1.0"},"canonical_sha256":"7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114","source":{"kind":"arxiv","id":"1903.07580","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07580","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07580v1","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07580","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"PYA5BW5BXXYE","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PYA5BW5BXXYEIDRQ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PYA5BW5B","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:PYA5BW5BXXYEIDRQ7D5QNHCMAZ","target":"record","payload":{"canonical_record":{"source":{"id":"1903.07580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-18T17:22:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e7b5f60b258dbdbe1e21146d8a3248cee0dbd34336fc23ba5581e1349fd0b697","abstract_canon_sha256":"b3722414796176e3cd93d93e181cce6f7f61da1a3e96691a5df33fa3343d313b"},"schema_version":"1.0"},"canonical_sha256":"7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:00.950482Z","signature_b64":"99LGwJh6SQgeZ0i0z4dxIRNg3JLlShJHOuNbtHbOV27hEkhTU0jDeivKx+sU/txljY/hsQNQpCpnoPonpVPRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114","last_reissued_at":"2026-05-17T23:51:00.949849Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:00.949849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.07580","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":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JbIRj2HFZjkulF6UPDF/wQd8ET4cLtEST3k+u12PtzLz6l64R2lVP/cdq86vjyz1skIOI8bwLUG0M5aaHIxQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:22:58.773257Z"},"content_sha256":"5f4246f14b439e87bc575c8b0c1d5a632a6089bb80245112811934370c4862ac","schema_version":"1.0","event_id":"sha256:5f4246f14b439e87bc575c8b0c1d5a632a6089bb80245112811934370c4862ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:PYA5BW5BXXYEIDRQ7D5QNHCMAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reply to \"Comment on `Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D.N. Christodoulides, M. Khajavikhan, Q. Zhong, R. El-Ganainy","submitted_at":"2019-03-18T17:22:47Z","abstract_excerpt":"A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to errors. In discussing their findings, they also indicate that a method presented by their team in Phys. Rev. A 98, 023818 (2018) (presumed to give correct results in all situations) was published prior to our work. First, we would like to note that both their work and ours were posted on the arXiv within a week from each other. Second and more importantly, as we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07580","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":"2026-05-17T23:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TV8UU2v13Dlpo6hbLAMaSKia6aUXL7CFZr/qCThRM8kmqSZIhViEuT1SPYOX6euBgOnwAoI1kvoJMfmmvwzGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:22:58.773629Z"},"content_sha256":"5c35a4fc8cea9e61b4e46cf46bc86c8e407a0f80312c56e37d8034a059fe2187","schema_version":"1.0","event_id":"sha256:5c35a4fc8cea9e61b4e46cf46bc86c8e407a0f80312c56e37d8034a059fe2187"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/bundle.json","state_url":"https://pith.science/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/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":"2026-06-22T12:22:58Z","links":{"resolver":"https://pith.science/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ","bundle":"https://pith.science/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/bundle.json","state":"https://pith.science/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PYA5BW5BXXYEIDRQ7D5QNHCMAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PYA5BW5BXXYEIDRQ7D5QNHCMAZ","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":"b3722414796176e3cd93d93e181cce6f7f61da1a3e96691a5df33fa3343d313b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-18T17:22:47Z","title_canon_sha256":"e7b5f60b258dbdbe1e21146d8a3248cee0dbd34336fc23ba5581e1349fd0b697"},"schema_version":"1.0","source":{"id":"1903.07580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07580","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07580v1","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07580","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"PYA5BW5BXXYE","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PYA5BW5BXXYEIDRQ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PYA5BW5B","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:5c35a4fc8cea9e61b4e46cf46bc86c8e407a0f80312c56e37d8034a059fe2187","target":"graph","created_at":"2026-05-17T23:51:00Z","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":"A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to errors. In discussing their findings, they also indicate that a method presented by their team in Phys. Rev. A 98, 023818 (2018) (presumed to give correct results in all situations) was published prior to our work. First, we would like to note that both their work and ours were posted on the arXiv within a week from each other. Second and more importantly, as we ","authors_text":"D.N. Christodoulides, M. Khajavikhan, Q. Zhong, R. El-Ganainy","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-18T17:22:47Z","title":"Reply to \"Comment on `Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07580","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":"sha256:5f4246f14b439e87bc575c8b0c1d5a632a6089bb80245112811934370c4862ac","target":"record","created_at":"2026-05-17T23:51:00Z","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":"b3722414796176e3cd93d93e181cce6f7f61da1a3e96691a5df33fa3343d313b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-18T17:22:47Z","title_canon_sha256":"e7b5f60b258dbdbe1e21146d8a3248cee0dbd34336fc23ba5581e1349fd0b697"},"schema_version":"1.0","source":{"id":"1903.07580","kind":"arxiv","version":1}},"canonical_sha256":"7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e01d0dba1bdf0440e30f8fb069c4c067b399442d501140ddb576eec4dcaf114","first_computed_at":"2026-05-17T23:51:00.949849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.949849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"99LGwJh6SQgeZ0i0z4dxIRNg3JLlShJHOuNbtHbOV27hEkhTU0jDeivKx+sU/txljY/hsQNQpCpnoPonpVPRAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.950482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f4246f14b439e87bc575c8b0c1d5a632a6089bb80245112811934370c4862ac","sha256:5c35a4fc8cea9e61b4e46cf46bc86c8e407a0f80312c56e37d8034a059fe2187"],"state_sha256":"81e91575c1afaafc1749d0b4647ed887ecb56a44e2aea5df5d1849124e8a0c6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kk6TGJlLqDV1LSSYq14VGOqsrr30AVisFS4LIHThLeNCNw65mHqbF/+NWQLzOoIc3rxrMSBiOFoInjJZnoQ/Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:22:58.775623Z","bundle_sha256":"28e54c38fd7133fbb0b23fd4a89379ebbb278dc47c6fb8e4370ae3ba86015771"}}