{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:DXE2PXHSM7IKEV6FRYNDBPO3I2","short_pith_number":"pith:DXE2PXHS","schema_version":"1.0","canonical_sha256":"1dc9a7dcf267d0a257c58e1a30bddb4693607d39d938987d6ac6450a0322a14f","source":{"kind":"arxiv","id":"1910.14288","version":1},"attestation_state":"computed","paper":{"title":"Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"cond-mat.mes-hall","authors_text":"Todd Van Mechelen, Zubin Jacob","submitted_at":"2019-10-31T07:55:40Z","abstract_excerpt":"We present the fundamental model of a topological electromagnetic phase of matter: viscous Maxwell-Chern-Simons theory. Our model applies to a quantum Hall fluids with viscosity. We solve both continuum and lattice regularized systems to demonstrate that this is the minimal (exactly solvable) gauge theory with a nontrivial photonic Chern number ($C\\neq 0$) for electromagnetic waves coupled to a quantum Hall fluid. The interplay of symmetry and topology is also captured by the spin-1 representations of a photonic skyrmion at high-symmetry points in the Brillouin zone. To rigorously analyze the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1910.14288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-10-31T07:55:40Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"35af1acaa5bf4db3abdc12a4b01a857beb694a49f82e047ecfc165665f71351c","abstract_canon_sha256":"cb94fb639259be5fa973499b4945b867f3da2bfa9bf5a1e9c72cbed9175fff71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:48:42.584333Z","signature_b64":"CRd61HyXCxpBJLomd5Z8pyuOZ3GJx2TE9HWG094zb+6tfAwixphi/jnTx5Wc0iqCarUXXIBfKYQg2mz6ZqfcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dc9a7dcf267d0a257c58e1a30bddb4693607d39d938987d6ac6450a0322a14f","last_reissued_at":"2026-07-05T01:48:42.583852Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:48:42.583852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"cond-mat.mes-hall","authors_text":"Todd Van Mechelen, Zubin Jacob","submitted_at":"2019-10-31T07:55:40Z","abstract_excerpt":"We present the fundamental model of a topological electromagnetic phase of matter: viscous Maxwell-Chern-Simons theory. Our model applies to a quantum Hall fluids with viscosity. We solve both continuum and lattice regularized systems to demonstrate that this is the minimal (exactly solvable) gauge theory with a nontrivial photonic Chern number ($C\\neq 0$) for electromagnetic waves coupled to a quantum Hall fluid. The interplay of symmetry and topology is also captured by the spin-1 representations of a photonic skyrmion at high-symmetry points in the Brillouin zone. To rigorously analyze the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.14288","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.14288/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1910.14288","created_at":"2026-07-05T01:48:42.583910+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.14288v1","created_at":"2026-07-05T01:48:42.583910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.14288","created_at":"2026-07-05T01:48:42.583910+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXE2PXHSM7IK","created_at":"2026-07-05T01:48:42.583910+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXE2PXHSM7IKEV6F","created_at":"2026-07-05T01:48:42.583910+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXE2PXHS","created_at":"2026-07-05T01:48:42.583910+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08648","citing_title":"Valley Hall viscosity in the integer quantum Hall phases of (2+1)D Dirac materials","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2606.03932","citing_title":"Emergent Hall viscosity in the integer quantum Hall phases of graphene-like systems","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2","json":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2.json","graph_json":"https://pith.science/api/pith-number/DXE2PXHSM7IKEV6FRYNDBPO3I2/graph.json","events_json":"https://pith.science/api/pith-number/DXE2PXHSM7IKEV6FRYNDBPO3I2/events.json","paper":"https://pith.science/paper/DXE2PXHS"},"agent_actions":{"view_html":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2","download_json":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2.json","view_paper":"https://pith.science/paper/DXE2PXHS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.14288&json=true","fetch_graph":"https://pith.science/api/pith-number/DXE2PXHSM7IKEV6FRYNDBPO3I2/graph.json","fetch_events":"https://pith.science/api/pith-number/DXE2PXHSM7IKEV6FRYNDBPO3I2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2/action/storage_attestation","attest_author":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2/action/author_attestation","sign_citation":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2/action/citation_signature","submit_replication":"https://pith.science/pith/DXE2PXHSM7IKEV6FRYNDBPO3I2/action/replication_record"}},"created_at":"2026-07-05T01:48:42.583910+00:00","updated_at":"2026-07-05T01:48:42.583910+00:00"}