{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:US34J37YAC2AOXS2BDFWLGJNX4","short_pith_number":"pith:US34J37Y","canonical_record":{"source":{"id":"2507.19464","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2025-07-25T17:50:29Z","cross_cats_sorted":[],"title_canon_sha256":"7df8e96a003fb6d272831a81cf2d023c755ce5c3dc37b73f0983f8a89854a653","abstract_canon_sha256":"4ab6cbd89b29d5b8dd8f6defe36944fca3b2ef9b0c73861ab535b7ca5006d309"},"schema_version":"1.0"},"canonical_sha256":"a4b7c4eff800b4075e5a08cb65992dbf3f4495513aa870218d6d1401d9003223","source":{"kind":"arxiv","id":"2507.19464","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19464","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19464v3","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19464","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"US34J37YAC2A","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"US34J37YAC2AOXS2","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"US34J37Y","created_at":"2026-05-22T01:03:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:US34J37YAC2AOXS2BDFWLGJNX4","target":"record","payload":{"canonical_record":{"source":{"id":"2507.19464","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2025-07-25T17:50:29Z","cross_cats_sorted":[],"title_canon_sha256":"7df8e96a003fb6d272831a81cf2d023c755ce5c3dc37b73f0983f8a89854a653","abstract_canon_sha256":"4ab6cbd89b29d5b8dd8f6defe36944fca3b2ef9b0c73861ab535b7ca5006d309"},"schema_version":"1.0"},"canonical_sha256":"a4b7c4eff800b4075e5a08cb65992dbf3f4495513aa870218d6d1401d9003223","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:44.584844Z","signature_b64":"LJXxgWZ6V+KAWvuA+JU5UuFGq9tiriQNv6Jmwf68eADzzQ9gUS8F0PsVuMygU0lNHXcA3CxvPP6v3UZzTRMmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4b7c4eff800b4075e5a08cb65992dbf3f4495513aa870218d6d1401d9003223","last_reissued_at":"2026-05-22T01:03:44.583989Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:44.583989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.19464","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":"2026-05-22T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tzv0MtIPjgb9EAnRWPuE3mgQeZr0zVbt9oJBbouWUs7FcSjdNGHISwizuYjpeO5yNUQzkuq+LrA8ueMD0dE8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:20:05.505501Z"},"content_sha256":"f0ca7f3a30f4771d0f6791ffc7095d0b85fd89fdbf843ca23d4f6b4df32c0e8b","schema_version":"1.0","event_id":"sha256:f0ca7f3a30f4771d0f6791ffc7095d0b85fd89fdbf843ca23d4f6b4df32c0e8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:US34J37YAC2AOXS2BDFWLGJNX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ensemble Time-Dependent Density Functional Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Kieron Burke, Kimberly J. Daas, Steven Crisostomo","submitted_at":"2025-07-25T17:50:29Z","abstract_excerpt":"Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT (ETDDFT), a practical theory that combines the two, generalizing both; we ensemble-generalize the Gross-Kohn equation and the exchange-correlation kernel of TDDFT, and generalize EDFT to time-dependent problems. We relate coordinate scaling to the adiabatic connection. The new theory provides multiple avenues for constructing and using approximations. We illustrate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19464","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/2507.19464/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":"2026-05-22T01:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVWcXrnOtvToO8cu75MEISPMixCD2wCX51NaOs/67zGdJl5wYfpnlSD6b6wCuIiKyzemW8cPp8UnD6o4+czuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:20:05.506184Z"},"content_sha256":"37b5cd4b68691e146ca420bd68c74974d8a53928dda8b3e674cf9dc3fe858712","schema_version":"1.0","event_id":"sha256:37b5cd4b68691e146ca420bd68c74974d8a53928dda8b3e674cf9dc3fe858712"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/US34J37YAC2AOXS2BDFWLGJNX4/bundle.json","state_url":"https://pith.science/pith/US34J37YAC2AOXS2BDFWLGJNX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/US34J37YAC2AOXS2BDFWLGJNX4/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":"2026-05-25T23:20:05Z","links":{"resolver":"https://pith.science/pith/US34J37YAC2AOXS2BDFWLGJNX4","bundle":"https://pith.science/pith/US34J37YAC2AOXS2BDFWLGJNX4/bundle.json","state":"https://pith.science/pith/US34J37YAC2AOXS2BDFWLGJNX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/US34J37YAC2AOXS2BDFWLGJNX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:US34J37YAC2AOXS2BDFWLGJNX4","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":"4ab6cbd89b29d5b8dd8f6defe36944fca3b2ef9b0c73861ab535b7ca5006d309","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2025-07-25T17:50:29Z","title_canon_sha256":"7df8e96a003fb6d272831a81cf2d023c755ce5c3dc37b73f0983f8a89854a653"},"schema_version":"1.0","source":{"id":"2507.19464","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19464","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19464v3","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19464","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"US34J37YAC2A","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"US34J37YAC2AOXS2","created_at":"2026-05-22T01:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"US34J37Y","created_at":"2026-05-22T01:03:44Z"}],"graph_snapshots":[{"event_id":"sha256:37b5cd4b68691e146ca420bd68c74974d8a53928dda8b3e674cf9dc3fe858712","target":"graph","created_at":"2026-05-22T01:03:44Z","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/2507.19464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT (ETDDFT), a practical theory that combines the two, generalizing both; we ensemble-generalize the Gross-Kohn equation and the exchange-correlation kernel of TDDFT, and generalize EDFT to time-dependent problems. We relate coordinate scaling to the adiabatic connection. The new theory provides multiple avenues for constructing and using approximations. We illustrate","authors_text":"Kieron Burke, Kimberly J. Daas, Steven Crisostomo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2025-07-25T17:50:29Z","title":"Ensemble Time-Dependent Density Functional Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19464","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:f0ca7f3a30f4771d0f6791ffc7095d0b85fd89fdbf843ca23d4f6b4df32c0e8b","target":"record","created_at":"2026-05-22T01:03:44Z","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":"4ab6cbd89b29d5b8dd8f6defe36944fca3b2ef9b0c73861ab535b7ca5006d309","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2025-07-25T17:50:29Z","title_canon_sha256":"7df8e96a003fb6d272831a81cf2d023c755ce5c3dc37b73f0983f8a89854a653"},"schema_version":"1.0","source":{"id":"2507.19464","kind":"arxiv","version":3}},"canonical_sha256":"a4b7c4eff800b4075e5a08cb65992dbf3f4495513aa870218d6d1401d9003223","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4b7c4eff800b4075e5a08cb65992dbf3f4495513aa870218d6d1401d9003223","first_computed_at":"2026-05-22T01:03:44.583989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:03:44.583989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LJXxgWZ6V+KAWvuA+JU5UuFGq9tiriQNv6Jmwf68eADzzQ9gUS8F0PsVuMygU0lNHXcA3CxvPP6v3UZzTRMmCQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:03:44.584844Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.19464","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0ca7f3a30f4771d0f6791ffc7095d0b85fd89fdbf843ca23d4f6b4df32c0e8b","sha256:37b5cd4b68691e146ca420bd68c74974d8a53928dda8b3e674cf9dc3fe858712"],"state_sha256":"f143c2475e71d61bac14d2134b99983a60c0c4ca8bb2db6f3d10cea4e1a7b81a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtzgLhTSxjepGQ5l7o9jwsGyyJ6hkL1cXg4ld5gPD8bFJzGS5BV8weWSv2NOLpIMjP4L7Oi8H4AIDSHbLYKLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:20:05.510101Z","bundle_sha256":"8a3cdca50546e94c936c047131f594d9b4a937360994e0cbf4d0df96582f0c17"}}