{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:6PUKVVNCRB5GQ4TASJBEMS425S","short_pith_number":"pith:6PUKVVNC","canonical_record":{"source":{"id":"2411.10360","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-15T17:09:17Z","cross_cats_sorted":["cond-mat.dis-nn","math.MP","physics.optics"],"title_canon_sha256":"633c092ba4bfc551cacce13c8ec55652cb2c7ceaefacc8c3013e1f0d6eb1fe04","abstract_canon_sha256":"6bd703d10a9c629c2e17135555146d3ac2386ee5fe434c2720ac00b0cee3b8c4"},"schema_version":"1.0"},"canonical_sha256":"f3e8aad5a2887a6872609242464b9aecb3741726d3f11eba3e175f27e3523dee","source":{"kind":"arxiv","id":"2411.10360","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10360","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10360v3","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10360","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"6PUKVVNCRB5G","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_16","alias_value":"6PUKVVNCRB5GQ4TA","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_8","alias_value":"6PUKVVNC","created_at":"2026-07-05T11:39:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:6PUKVVNCRB5GQ4TASJBEMS425S","target":"record","payload":{"canonical_record":{"source":{"id":"2411.10360","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-15T17:09:17Z","cross_cats_sorted":["cond-mat.dis-nn","math.MP","physics.optics"],"title_canon_sha256":"633c092ba4bfc551cacce13c8ec55652cb2c7ceaefacc8c3013e1f0d6eb1fe04","abstract_canon_sha256":"6bd703d10a9c629c2e17135555146d3ac2386ee5fe434c2720ac00b0cee3b8c4"},"schema_version":"1.0"},"canonical_sha256":"f3e8aad5a2887a6872609242464b9aecb3741726d3f11eba3e175f27e3523dee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:05.592243Z","signature_b64":"QySHtxbNrkYatA5MpeshJA+8AcSyOpb0+B+ELuvfPjT+MH872KRt5UObGzdDSLT+mJKTj8S1LDTVYa73hglkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3e8aad5a2887a6872609242464b9aecb3741726d3f11eba3e175f27e3523dee","last_reissued_at":"2026-07-05T11:39:05.591667Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:05.591667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.10360","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5GC9GgZEDYafBhRaPd4zPbdcy3QwMmLtXB4GuquY9vaJxJyt1s/G8hB/F6xTLNFu4z/4gBeqJx7zFM9ukHEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T06:39:26.510004Z"},"content_sha256":"8e21ca167c26b953437f27b751011e2f9d96c379b392d888e86f393dd5e89cd9","schema_version":"1.0","event_id":"sha256:8e21ca167c26b953437f27b751011e2f9d96c379b392d888e86f393dd5e89cd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:6PUKVVNCRB5GQ4TASJBEMS425S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiant Field Theory: A Transport Approach to Shaped Wave Transmission through Disordered Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math.MP","physics.optics"],"primary_cat":"math-ph","authors_text":"Arthur Goetschy, David Gaspard","submitted_at":"2024-11-15T17:09:17Z","abstract_excerpt":"We present a field-theoretic framework to characterize the distribution of transmission eigenvalues for coherent wave propagation through disordered media. The central outcome is a transport equation for a matrix-valued radiance, analogous to the classical radiative transport equation but capable of capturing coherent effects encoded in the transmission matrix. Unlike the Dorokhov-Mello-Pereyra-Kumar (DMPK) theory, our approach does not rely on the isotropy hypothesis, which presumes uniform angular scattering by material slices. As a result, it remains valid beyond the diffusive regime, accur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10360","kind":"arxiv","version":3},"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/2411.10360/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aww1hfNcJIWC58t6qcT7L/NuarE1dlJ1MBtotX7qSfCtNVnUzUuQPmuGy+5cENmU7R8C3iMgAYmFvFGyRl09Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T06:39:26.510991Z"},"content_sha256":"94abd9a442b140270eca6ddecc42461806cc90f41b3a6fd0bb5d68e9ac03aea2","schema_version":"1.0","event_id":"sha256:94abd9a442b140270eca6ddecc42461806cc90f41b3a6fd0bb5d68e9ac03aea2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PUKVVNCRB5GQ4TASJBEMS425S/bundle.json","state_url":"https://pith.science/pith/6PUKVVNCRB5GQ4TASJBEMS425S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PUKVVNCRB5GQ4TASJBEMS425S/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":"2026-08-13T06:39:26Z","links":{"resolver":"https://pith.science/pith/6PUKVVNCRB5GQ4TASJBEMS425S","bundle":"https://pith.science/pith/6PUKVVNCRB5GQ4TASJBEMS425S/bundle.json","state":"https://pith.science/pith/6PUKVVNCRB5GQ4TASJBEMS425S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PUKVVNCRB5GQ4TASJBEMS425S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6PUKVVNCRB5GQ4TASJBEMS425S","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":"6bd703d10a9c629c2e17135555146d3ac2386ee5fe434c2720ac00b0cee3b8c4","cross_cats_sorted":["cond-mat.dis-nn","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-15T17:09:17Z","title_canon_sha256":"633c092ba4bfc551cacce13c8ec55652cb2c7ceaefacc8c3013e1f0d6eb1fe04"},"schema_version":"1.0","source":{"id":"2411.10360","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10360","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10360v3","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10360","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"6PUKVVNCRB5G","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_16","alias_value":"6PUKVVNCRB5GQ4TA","created_at":"2026-07-05T11:39:05Z"},{"alias_kind":"pith_short_8","alias_value":"6PUKVVNC","created_at":"2026-07-05T11:39:05Z"}],"graph_snapshots":[{"event_id":"sha256:94abd9a442b140270eca6ddecc42461806cc90f41b3a6fd0bb5d68e9ac03aea2","target":"graph","created_at":"2026-07-05T11:39:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.10360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a field-theoretic framework to characterize the distribution of transmission eigenvalues for coherent wave propagation through disordered media. The central outcome is a transport equation for a matrix-valued radiance, analogous to the classical radiative transport equation but capable of capturing coherent effects encoded in the transmission matrix. Unlike the Dorokhov-Mello-Pereyra-Kumar (DMPK) theory, our approach does not rely on the isotropy hypothesis, which presumes uniform angular scattering by material slices. As a result, it remains valid beyond the diffusive regime, accur","authors_text":"Arthur Goetschy, David Gaspard","cross_cats":["cond-mat.dis-nn","math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-15T17:09:17Z","title":"Radiant Field Theory: A Transport Approach to Shaped Wave Transmission through Disordered Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10360","kind":"arxiv","version":3},"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":"sha256:8e21ca167c26b953437f27b751011e2f9d96c379b392d888e86f393dd5e89cd9","target":"record","created_at":"2026-07-05T11:39:05Z","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":"6bd703d10a9c629c2e17135555146d3ac2386ee5fe434c2720ac00b0cee3b8c4","cross_cats_sorted":["cond-mat.dis-nn","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-15T17:09:17Z","title_canon_sha256":"633c092ba4bfc551cacce13c8ec55652cb2c7ceaefacc8c3013e1f0d6eb1fe04"},"schema_version":"1.0","source":{"id":"2411.10360","kind":"arxiv","version":3}},"canonical_sha256":"f3e8aad5a2887a6872609242464b9aecb3741726d3f11eba3e175f27e3523dee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3e8aad5a2887a6872609242464b9aecb3741726d3f11eba3e175f27e3523dee","first_computed_at":"2026-07-05T11:39:05.591667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:05.591667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QySHtxbNrkYatA5MpeshJA+8AcSyOpb0+B+ELuvfPjT+MH872KRt5UObGzdDSLT+mJKTj8S1LDTVYa73hglkDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:05.592243Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.10360","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e21ca167c26b953437f27b751011e2f9d96c379b392d888e86f393dd5e89cd9","sha256:94abd9a442b140270eca6ddecc42461806cc90f41b3a6fd0bb5d68e9ac03aea2"],"state_sha256":"7fca794e2ce64e5afed8cc4716f1404843ed6942c11579a70b872bc3c71c3877"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VV/m0QVk+FaOB2AHknIFv3fKj+Va/GwUlju5vb9Kq5MVKVqGRLIEe0fsZc6Ill+2oS1dUis0OrMm8b4DsqZ4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T06:39:26.595532Z","bundle_sha256":"bfa0d7190e778d17264ddc610b5fcba0c77726b8f0045eb7c2f9f55af9e55b95"}}