{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4G6RRFHNL7VQAFI6AS7Q3XE32Y","short_pith_number":"pith:4G6RRFHN","schema_version":"1.0","canonical_sha256":"e1bd1894ed5feb00151e04bf0ddc9bd6062150c159330a268e7f4dfab5d040b6","source":{"kind":"arxiv","id":"1110.0329","version":1},"attestation_state":"computed","paper":{"title":"Photonic Phase Transitions in Certain Disordered Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Chin Wang, Luogen Deng","submitted_at":"2011-10-03T11:55:02Z","abstract_excerpt":"In this paper we develop a generalized mode-expansion scheme for the vector lightwaves propagating in 3D disordered media, and find the photonic phase transition from an extended-state (ES) phase to a mixed-state (MS) phase as a localization intensity parameter $G$ rises above $1/\\sqrt{2}$. For the disordered media consisting of plenty of uniform spherical scattering particles, we formulate this phenomena at first in terms of actual optical and geometric parameters of the disordered media."},"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":"1110.0329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-10-03T11:55:02Z","cross_cats_sorted":[],"title_canon_sha256":"a6ec002f73a725153771e16274fd95a1d0ae74cbd939ea9e425944322da45b9f","abstract_canon_sha256":"6fa157cbab53b966cb9d9a1bd34128a31114783e64ed82e15854c854c4186b7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:50.226044Z","signature_b64":"E3yeWZre8gN0RciMvk0Q8kYgMaJ1dA/53/US3mSD0/BSQ1QSo6UgGXKHEIQB8JS5qYS61hwNEItpME7UYAAsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1bd1894ed5feb00151e04bf0ddc9bd6062150c159330a268e7f4dfab5d040b6","last_reissued_at":"2026-05-18T04:11:50.225367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:50.225367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Photonic Phase Transitions in Certain Disordered Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Chin Wang, Luogen Deng","submitted_at":"2011-10-03T11:55:02Z","abstract_excerpt":"In this paper we develop a generalized mode-expansion scheme for the vector lightwaves propagating in 3D disordered media, and find the photonic phase transition from an extended-state (ES) phase to a mixed-state (MS) phase as a localization intensity parameter $G$ rises above $1/\\sqrt{2}$. For the disordered media consisting of plenty of uniform spherical scattering particles, we formulate this phenomena at first in terms of actual optical and geometric parameters of the disordered media."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0329","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.0329","created_at":"2026-05-18T04:11:50.225474+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.0329v1","created_at":"2026-05-18T04:11:50.225474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0329","created_at":"2026-05-18T04:11:50.225474+00:00"},{"alias_kind":"pith_short_12","alias_value":"4G6RRFHNL7VQ","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4G6RRFHNL7VQAFI6","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4G6RRFHN","created_at":"2026-05-18T12:26:20.644004+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y","json":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y.json","graph_json":"https://pith.science/api/pith-number/4G6RRFHNL7VQAFI6AS7Q3XE32Y/graph.json","events_json":"https://pith.science/api/pith-number/4G6RRFHNL7VQAFI6AS7Q3XE32Y/events.json","paper":"https://pith.science/paper/4G6RRFHN"},"agent_actions":{"view_html":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y","download_json":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y.json","view_paper":"https://pith.science/paper/4G6RRFHN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.0329&json=true","fetch_graph":"https://pith.science/api/pith-number/4G6RRFHNL7VQAFI6AS7Q3XE32Y/graph.json","fetch_events":"https://pith.science/api/pith-number/4G6RRFHNL7VQAFI6AS7Q3XE32Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y/action/storage_attestation","attest_author":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y/action/author_attestation","sign_citation":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y/action/citation_signature","submit_replication":"https://pith.science/pith/4G6RRFHNL7VQAFI6AS7Q3XE32Y/action/replication_record"}},"created_at":"2026-05-18T04:11:50.225474+00:00","updated_at":"2026-05-18T04:11:50.225474+00:00"}