{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:N3MG7WI3PSJ2VPB53UZFYYRFKY","short_pith_number":"pith:N3MG7WI3","canonical_record":{"source":{"id":"2603.10416","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-03-11T05:01:28Z","cross_cats_sorted":[],"title_canon_sha256":"903ef464dd05df23da48ae701d670fd1044c1c9df570b3bb7b9a983e2214d0ff","abstract_canon_sha256":"1665b60f96abd3f160783e3d75c0b9954b7be6ba336eee64af57d9900c051a20"},"schema_version":"1.0"},"canonical_sha256":"6ed86fd91b7c93aabc3ddd325c622556161e085c99ad816607ab32d184403516","source":{"kind":"arxiv","id":"2603.10416","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.10416","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"2603.10416v2","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.10416","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"N3MG7WI3PSJ2","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_16","alias_value":"N3MG7WI3PSJ2VPB5","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_8","alias_value":"N3MG7WI3","created_at":"2026-06-09T01:05:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:N3MG7WI3PSJ2VPB53UZFYYRFKY","target":"record","payload":{"canonical_record":{"source":{"id":"2603.10416","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-03-11T05:01:28Z","cross_cats_sorted":[],"title_canon_sha256":"903ef464dd05df23da48ae701d670fd1044c1c9df570b3bb7b9a983e2214d0ff","abstract_canon_sha256":"1665b60f96abd3f160783e3d75c0b9954b7be6ba336eee64af57d9900c051a20"},"schema_version":"1.0"},"canonical_sha256":"6ed86fd91b7c93aabc3ddd325c622556161e085c99ad816607ab32d184403516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:15.794966Z","signature_b64":"IuJksIf4EpJcEwtmQ+VTh9j/O+pGu07b9llhDfUzcBLOPteEqNtE+4+hS9hM8uGHKMfvQ7rht6brvD6z2I+VCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ed86fd91b7c93aabc3ddd325c622556161e085c99ad816607ab32d184403516","last_reissued_at":"2026-06-09T01:05:15.794394Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:15.794394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.10416","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xjkh0BNLHRnnwdS8daTa0RkatPY+gIREYFZ+r4NKJTDsJ9hXEFpSC31OVXdO04LIPQfT8gMZHN9mlTAjGpaJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:25:55.852722Z"},"content_sha256":"c51b732466dab3fcd667d54c785450ebc4ea4a18a447e473421afad1dc5ee186","schema_version":"1.0","event_id":"sha256:c51b732466dab3fcd667d54c785450ebc4ea4a18a447e473421afad1dc5ee186"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:N3MG7WI3PSJ2VPB53UZFYYRFKY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Einstein Relations between Absorption and Emission Spectra in the Electric-Dipole Approximation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"David M. Jonas, Jisu Ryu","submitted_at":"2026-03-11T05:01:28Z","abstract_excerpt":"Recently, Ryu et al. showed that two broadened bands connected by a set of four Einstein-coefficient spectra for stimulated and spontaneous single-photon transitions will obey detailed balance at equilibrium if the spectra satisfy generalized Einstein relations. Here, quantum mechanical expressions for Einstein-coefficient spectra are obtained in the electric-dipole approximation using an intramolecular Boltzmann distribution and the quantized field operators in isotropic, dispersive media of Nienhuis and Alkemade. These expressions suggest relationships between Einstein-coefficient spectra an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.10416","kind":"arxiv","version":2},"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/2603.10416/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":"2026-06-09T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q7y3XnebV6tqnARd7ig+lo5kP6czxmQk/Agco0NrHhpufMma7bevMEmxQ5BN5c/eXczeDvUDTOcuLeVnsdsUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:25:55.853104Z"},"content_sha256":"1cff3ec4eaf7534aa83ce30a56f13d92f773c4e8059a562a82acb1a477765ab1","schema_version":"1.0","event_id":"sha256:1cff3ec4eaf7534aa83ce30a56f13d92f773c4e8059a562a82acb1a477765ab1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/bundle.json","state_url":"https://pith.science/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/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":"2026-06-30T23:25:55Z","links":{"resolver":"https://pith.science/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY","bundle":"https://pith.science/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/bundle.json","state":"https://pith.science/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3MG7WI3PSJ2VPB53UZFYYRFKY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:N3MG7WI3PSJ2VPB53UZFYYRFKY","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":"1665b60f96abd3f160783e3d75c0b9954b7be6ba336eee64af57d9900c051a20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-03-11T05:01:28Z","title_canon_sha256":"903ef464dd05df23da48ae701d670fd1044c1c9df570b3bb7b9a983e2214d0ff"},"schema_version":"1.0","source":{"id":"2603.10416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.10416","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"2603.10416v2","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.10416","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"N3MG7WI3PSJ2","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_16","alias_value":"N3MG7WI3PSJ2VPB5","created_at":"2026-06-09T01:05:15Z"},{"alias_kind":"pith_short_8","alias_value":"N3MG7WI3","created_at":"2026-06-09T01:05:15Z"}],"graph_snapshots":[{"event_id":"sha256:1cff3ec4eaf7534aa83ce30a56f13d92f773c4e8059a562a82acb1a477765ab1","target":"graph","created_at":"2026-06-09T01:05:15Z","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/2603.10416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Ryu et al. showed that two broadened bands connected by a set of four Einstein-coefficient spectra for stimulated and spontaneous single-photon transitions will obey detailed balance at equilibrium if the spectra satisfy generalized Einstein relations. Here, quantum mechanical expressions for Einstein-coefficient spectra are obtained in the electric-dipole approximation using an intramolecular Boltzmann distribution and the quantized field operators in isotropic, dispersive media of Nienhuis and Alkemade. These expressions suggest relationships between Einstein-coefficient spectra an","authors_text":"David M. Jonas, Jisu Ryu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-03-11T05:01:28Z","title":"Generalized Einstein Relations between Absorption and Emission Spectra in the Electric-Dipole Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.10416","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:c51b732466dab3fcd667d54c785450ebc4ea4a18a447e473421afad1dc5ee186","target":"record","created_at":"2026-06-09T01:05:15Z","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":"1665b60f96abd3f160783e3d75c0b9954b7be6ba336eee64af57d9900c051a20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-03-11T05:01:28Z","title_canon_sha256":"903ef464dd05df23da48ae701d670fd1044c1c9df570b3bb7b9a983e2214d0ff"},"schema_version":"1.0","source":{"id":"2603.10416","kind":"arxiv","version":2}},"canonical_sha256":"6ed86fd91b7c93aabc3ddd325c622556161e085c99ad816607ab32d184403516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ed86fd91b7c93aabc3ddd325c622556161e085c99ad816607ab32d184403516","first_computed_at":"2026-06-09T01:05:15.794394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:15.794394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IuJksIf4EpJcEwtmQ+VTh9j/O+pGu07b9llhDfUzcBLOPteEqNtE+4+hS9hM8uGHKMfvQ7rht6brvD6z2I+VCg==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:15.794966Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.10416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c51b732466dab3fcd667d54c785450ebc4ea4a18a447e473421afad1dc5ee186","sha256:1cff3ec4eaf7534aa83ce30a56f13d92f773c4e8059a562a82acb1a477765ab1"],"state_sha256":"8c433b9cf38da4d522bcba17c617fae120cb433bc4b4aed61ec96e57f02db3fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wc1W+iS2jVGr1LRtZJa96DrhxHdip5gJauP4BGVR9bbaxEcH28d/GFU2bg1t9iWWvMtiTZo99t+f++o+8/YfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T23:25:55.855149Z","bundle_sha256":"a16f79160cd5611804b916b2d2f402ceb58758c0d2b8082df1adb11653f74758"}}