{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HWMPI3D3XJPMPPOMGS27DZU6MC","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":"4607e5691e4aa9e3990cdccd4b5f8325c16dd11e8cbc5bc0686b9774016e7bf1","cross_cats_sorted":["math.NA","math.SG","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-09-08T02:34:42Z","title_canon_sha256":"dbe78c4b73c778c5e5d5aa12eb9a7df4cc0e95147367ce27ffc14782f8902891"},"schema_version":"1.0","source":{"id":"1609.02246","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02246","created_at":"2026-05-18T00:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02246v2","created_at":"2026-05-18T00:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02246","created_at":"2026-05-18T00:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"HWMPI3D3XJPM","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HWMPI3D3XJPMPPOM","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HWMPI3D3","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:12c3732d0f465b20edcacf62d582a167801aca0c94f524171d0b4e287fed8136","target":"graph","created_at":"2026-05-18T00:49:58Z","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 novel unified Hamiltonian approach is proposed to solve Maxwell-Schrodinger equation for modeling the interaction between classical electromagnetic (EM) fields and particles. Based on the Hamiltonian of electromagnetics and quantum mechanics, a unified Maxwell-Schrodinger system is derived by the variational principle. The coupled system is well-posed and symplectic, which ensures energy conserving property during the time evolution. However, due to the disparity of wavelengths of EM waves and that of electron waves, a numerical implementation of the finite-difference time-domain (FDTD) meth","authors_text":"Li Jun Jiang, Min Meng, Wei E. I. Sha, Weng Cho Chew, Yongpin P. Chen, Yu Mao Wu","cross_cats":["math.NA","math.SG","physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-09-08T02:34:42Z","title":"A Unified Hamiltonian Solution to Maxwell-Schrodinger Equations for Modeling Electromagnetic Field-Particle Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02246","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:b7748538c9e51f98ec2fad4a271f528860532e2610abdd21bbbefbb88d1c4157","target":"record","created_at":"2026-05-18T00:49:58Z","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":"4607e5691e4aa9e3990cdccd4b5f8325c16dd11e8cbc5bc0686b9774016e7bf1","cross_cats_sorted":["math.NA","math.SG","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-09-08T02:34:42Z","title_canon_sha256":"dbe78c4b73c778c5e5d5aa12eb9a7df4cc0e95147367ce27ffc14782f8902891"},"schema_version":"1.0","source":{"id":"1609.02246","kind":"arxiv","version":2}},"canonical_sha256":"3d98f46c7bba5ec7bdcc34b5f1e69e60b549e3fa7eaa16aef990f7943dffec6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d98f46c7bba5ec7bdcc34b5f1e69e60b549e3fa7eaa16aef990f7943dffec6c","first_computed_at":"2026-05-18T00:49:58.537353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:58.537353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w8Bg2UefySOWUSRhIEktp6gRwkpdikp8x8v9Ch1i/Wpc/Ehbzq7NY7KESIuI8noWsoqvwuCVB0uuaUBn1sPBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:58.538275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02246","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7748538c9e51f98ec2fad4a271f528860532e2610abdd21bbbefbb88d1c4157","sha256:12c3732d0f465b20edcacf62d582a167801aca0c94f524171d0b4e287fed8136"],"state_sha256":"7ef17469939db8b0fbd502b6c846ad3db5c5e067269c0a2840dac6b1c61d2d7f"}