{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:Q5LSBCARBTQITG45MTSSHIZDFQ","short_pith_number":"pith:Q5LSBCAR","canonical_record":{"source":{"id":"nucl-th/0508034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2005-08-18T12:45:45Z","cross_cats_sorted":[],"title_canon_sha256":"1c6297c694370ab7440b9ef3c3b5fb6a34ed80a3b4ace583f0afa02cabc90ff8","abstract_canon_sha256":"f11572b1ab57036731eaec4cca0775c181094d6fafad24551edbaa0620f067fe"},"schema_version":"1.0"},"canonical_sha256":"87572088110ce0899b9d64e523a3232c0aa8b3b5a7c2ec9bd6f86eecb19ade5d","source":{"kind":"arxiv","id":"nucl-th/0508034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0508034","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0508034v1","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0508034","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q5LSBCARBTQI","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_16","alias_value":"Q5LSBCARBTQITG45","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_8","alias_value":"Q5LSBCAR","created_at":"2026-07-04T16:56:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:Q5LSBCARBTQITG45MTSSHIZDFQ","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/0508034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2005-08-18T12:45:45Z","cross_cats_sorted":[],"title_canon_sha256":"1c6297c694370ab7440b9ef3c3b5fb6a34ed80a3b4ace583f0afa02cabc90ff8","abstract_canon_sha256":"f11572b1ab57036731eaec4cca0775c181094d6fafad24551edbaa0620f067fe"},"schema_version":"1.0"},"canonical_sha256":"87572088110ce0899b9d64e523a3232c0aa8b3b5a7c2ec9bd6f86eecb19ade5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:56:58.630445Z","signature_b64":"JIzcDoJNwiWY6hg2kVWElfcjR+ilX98iXKOem6ljUeaN50d7VCfRGzDD8bKEMQD+n/qQ2ZSqhQXbQ+7cNfr4DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87572088110ce0899b9d64e523a3232c0aa8b3b5a7c2ec9bd6f86eecb19ade5d","last_reissued_at":"2026-07-04T16:56:58.630092Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:56:58.630092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/0508034","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/R5H0z33AQTarNWPRKQwRbeamZBcyNiNMopGL4dWGcFDi/F4DQEWC2rWU/BmTWA+c3lzLSDkdfuBu8usX7tvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:30:29.850571Z"},"content_sha256":"e4159a6511497d4f2ebbb7dc76864934b2bba8da791c95dd9f0e8868a1cbe3f0","schema_version":"1.0","event_id":"sha256:e4159a6511497d4f2ebbb7dc76864934b2bba8da791c95dd9f0e8868a1cbe3f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:Q5LSBCARBTQITG45MTSSHIZDFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Piecewise Moments Method: A Generalized Lanczos Technique for Nuclear Response Surfaces","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Kathryn M. Zurek, Kenneth M. Nollett, Wick C. Haxton","submitted_at":"2005-08-18T12:45:45Z","abstract_excerpt":"For some years Lanczos moments methods have been combined with large-scale shell-model calculations in evaluations of the spectral distributions of certain operators. This technique is of great value because the alternative, a state-by-state summation over final states, is generally not feasible. The most celebrated application is to the Gamow-Teller operator, which governs beta decay and neutrino reactions in the allowed limit. The Lanczos procedure determines the nuclear response along a line q=0 in the (omega,q) plane, where omega and q are the energy and three-momentum transfered to the nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0508034","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/nucl-th/0508034/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":"2026-07-04T16:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"16xBGWLv6HEWfhZIoODItrkrPyXizfBbkE2/Lk4rfMv5aCxo5W6fpTGyj7ih4rwAaeSAOE9BubopHysiujR9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:30:29.851084Z"},"content_sha256":"ec4a1054b77a3397a3a5371578a6f123e09222913bdc31f5213ef4f16f28ce88","schema_version":"1.0","event_id":"sha256:ec4a1054b77a3397a3a5371578a6f123e09222913bdc31f5213ef4f16f28ce88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/bundle.json","state_url":"https://pith.science/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/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":"2026-07-31T19:30:29Z","links":{"resolver":"https://pith.science/pith/Q5LSBCARBTQITG45MTSSHIZDFQ","bundle":"https://pith.science/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/bundle.json","state":"https://pith.science/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5LSBCARBTQITG45MTSSHIZDFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:Q5LSBCARBTQITG45MTSSHIZDFQ","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":"f11572b1ab57036731eaec4cca0775c181094d6fafad24551edbaa0620f067fe","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2005-08-18T12:45:45Z","title_canon_sha256":"1c6297c694370ab7440b9ef3c3b5fb6a34ed80a3b4ace583f0afa02cabc90ff8"},"schema_version":"1.0","source":{"id":"nucl-th/0508034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0508034","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0508034v1","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0508034","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q5LSBCARBTQI","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_16","alias_value":"Q5LSBCARBTQITG45","created_at":"2026-07-04T16:56:58Z"},{"alias_kind":"pith_short_8","alias_value":"Q5LSBCAR","created_at":"2026-07-04T16:56:58Z"}],"graph_snapshots":[{"event_id":"sha256:ec4a1054b77a3397a3a5371578a6f123e09222913bdc31f5213ef4f16f28ce88","target":"graph","created_at":"2026-07-04T16:56:58Z","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/nucl-th/0508034/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For some years Lanczos moments methods have been combined with large-scale shell-model calculations in evaluations of the spectral distributions of certain operators. This technique is of great value because the alternative, a state-by-state summation over final states, is generally not feasible. The most celebrated application is to the Gamow-Teller operator, which governs beta decay and neutrino reactions in the allowed limit. The Lanczos procedure determines the nuclear response along a line q=0 in the (omega,q) plane, where omega and q are the energy and three-momentum transfered to the nu","authors_text":"Kathryn M. Zurek, Kenneth M. Nollett, Wick C. Haxton","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2005-08-18T12:45:45Z","title":"The Piecewise Moments Method: A Generalized Lanczos Technique for Nuclear Response Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0508034","kind":"arxiv","version":1},"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:e4159a6511497d4f2ebbb7dc76864934b2bba8da791c95dd9f0e8868a1cbe3f0","target":"record","created_at":"2026-07-04T16:56:58Z","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":"f11572b1ab57036731eaec4cca0775c181094d6fafad24551edbaa0620f067fe","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2005-08-18T12:45:45Z","title_canon_sha256":"1c6297c694370ab7440b9ef3c3b5fb6a34ed80a3b4ace583f0afa02cabc90ff8"},"schema_version":"1.0","source":{"id":"nucl-th/0508034","kind":"arxiv","version":1}},"canonical_sha256":"87572088110ce0899b9d64e523a3232c0aa8b3b5a7c2ec9bd6f86eecb19ade5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87572088110ce0899b9d64e523a3232c0aa8b3b5a7c2ec9bd6f86eecb19ade5d","first_computed_at":"2026-07-04T16:56:58.630092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:58.630092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIzcDoJNwiWY6hg2kVWElfcjR+ilX98iXKOem6ljUeaN50d7VCfRGzDD8bKEMQD+n/qQ2ZSqhQXbQ+7cNfr4DA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:58.630445Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0508034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4159a6511497d4f2ebbb7dc76864934b2bba8da791c95dd9f0e8868a1cbe3f0","sha256:ec4a1054b77a3397a3a5371578a6f123e09222913bdc31f5213ef4f16f28ce88"],"state_sha256":"14dfb0320c4989c3ec0e16e4d392842a281427a8275538f6d85e5a1f265abb19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qVrHxLAqBzB5XXUslKkuH8pvhRuUnk2J4drd8V5BLPTvFiJqXVvXJDTyeZ/4N3x1SjRY7OJq+VoXROlHQkVoBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T19:30:29.856148Z","bundle_sha256":"701413e62cd7510d483bc25e3c2c1ca8cbad51f293c33f62d4ad9a172422c01a"}}