{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:LVG7VNZ434OQHVMXOKAEGMYQV3","short_pith_number":"pith:LVG7VNZ4","canonical_record":{"source":{"id":"physics/0408051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atom-ph","submitted_at":"2004-08-11T23:48:28Z","cross_cats_sorted":[],"title_canon_sha256":"07096fc813f5c6a24aec2dd652d1a8b1d4d55a678a30e9aabe4787d4dabf40c1","abstract_canon_sha256":"70478085a11c81ebd60c9f704d18ef9d5520970b0789941670d155194c1963e1"},"schema_version":"1.0"},"canonical_sha256":"5d4dfab73cdf1d03d5977280433310aefb697bebb3a2372aedc929c980776155","source":{"kind":"arxiv","id":"physics/0408051","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0408051","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0408051v1","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0408051","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"LVG7VNZ434OQ","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_16","alias_value":"LVG7VNZ434OQHVMX","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_8","alias_value":"LVG7VNZ4","created_at":"2026-07-04T16:49:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:LVG7VNZ434OQHVMXOKAEGMYQV3","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0408051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atom-ph","submitted_at":"2004-08-11T23:48:28Z","cross_cats_sorted":[],"title_canon_sha256":"07096fc813f5c6a24aec2dd652d1a8b1d4d55a678a30e9aabe4787d4dabf40c1","abstract_canon_sha256":"70478085a11c81ebd60c9f704d18ef9d5520970b0789941670d155194c1963e1"},"schema_version":"1.0"},"canonical_sha256":"5d4dfab73cdf1d03d5977280433310aefb697bebb3a2372aedc929c980776155","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:49:55.295611Z","signature_b64":"Bsr7zbAE2NwsCfXC3FVJYdPE6iaJiO0bFdkpqSW/5x54oKp44k1BF66VmO/6/I6xFTk06Hpvs3kFZu0c9WcuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d4dfab73cdf1d03d5977280433310aefb697bebb3a2372aedc929c980776155","last_reissued_at":"2026-07-04T16:49:55.295060Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:49:55.295060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0408051","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":"2026-07-04T16:49:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/S43Vc0doybkgilMyNV4MqYqxvLu6mSjVZmfdBK3lknMpkyCv718CrVpbUTvSIa3zOqHc+Pzx+EmwI9mW2giAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T20:50:44.759947Z"},"content_sha256":"4a65682718fb582b8c4fc0f053402721e0ac551842394bbf926c53de1bc16fbc","schema_version":"1.0","event_id":"sha256:4a65682718fb582b8c4fc0f053402721e0ac551842394bbf926c53de1bc16fbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:LVG7VNZ434OQHVMXOKAEGMYQV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Siegert pseudostates: completeness and time evolution","license":"","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"Chris H. Greene, Jeffrey M. Shainline, Robin Santra","submitted_at":"2004-08-11T23:48:28Z","abstract_excerpt":"Within the theory of Siegert pseudostates, it is possible to accurately calculate bound states and resonances. The energy continuum is replaced by a discrete set of states. Many questions of interest in scattering theory can be addressed within the framework of this formalism, thereby avoiding the need to treat the energy continuum. For practical calculations it is important to know whether a certain subset of Siegert pseudostates comprises a basis. This is a nontrivial issue, because of the unusual orthogonality and overcompleteness properties of Siegert pseudostates. Using analytical and num"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0408051","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/physics/0408051/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":"2026-07-04T16:49:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYssg10ikuFgj/v9gj6ZTST1X4GNh5/tFSzVv64qooi5mc4ssmwIQVuNqhdhooDoQvu8oB5xnqAvK/q7df4dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T20:50:44.760997Z"},"content_sha256":"ccd69be5b4532cea98a4aea5ff24ac3f7f22a57fec6000f5ef374927d1078236","schema_version":"1.0","event_id":"sha256:ccd69be5b4532cea98a4aea5ff24ac3f7f22a57fec6000f5ef374927d1078236"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/bundle.json","state_url":"https://pith.science/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/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":"2026-08-21T20:50:44Z","links":{"resolver":"https://pith.science/pith/LVG7VNZ434OQHVMXOKAEGMYQV3","bundle":"https://pith.science/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/bundle.json","state":"https://pith.science/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVG7VNZ434OQHVMXOKAEGMYQV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LVG7VNZ434OQHVMXOKAEGMYQV3","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":"70478085a11c81ebd60c9f704d18ef9d5520970b0789941670d155194c1963e1","cross_cats_sorted":[],"license":"","primary_cat":"physics.atom-ph","submitted_at":"2004-08-11T23:48:28Z","title_canon_sha256":"07096fc813f5c6a24aec2dd652d1a8b1d4d55a678a30e9aabe4787d4dabf40c1"},"schema_version":"1.0","source":{"id":"physics/0408051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0408051","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0408051v1","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0408051","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"LVG7VNZ434OQ","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_16","alias_value":"LVG7VNZ434OQHVMX","created_at":"2026-07-04T16:49:55Z"},{"alias_kind":"pith_short_8","alias_value":"LVG7VNZ4","created_at":"2026-07-04T16:49:55Z"}],"graph_snapshots":[{"event_id":"sha256:ccd69be5b4532cea98a4aea5ff24ac3f7f22a57fec6000f5ef374927d1078236","target":"graph","created_at":"2026-07-04T16:49:55Z","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/physics/0408051/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Within the theory of Siegert pseudostates, it is possible to accurately calculate bound states and resonances. The energy continuum is replaced by a discrete set of states. Many questions of interest in scattering theory can be addressed within the framework of this formalism, thereby avoiding the need to treat the energy continuum. For practical calculations it is important to know whether a certain subset of Siegert pseudostates comprises a basis. This is a nontrivial issue, because of the unusual orthogonality and overcompleteness properties of Siegert pseudostates. Using analytical and num","authors_text":"Chris H. Greene, Jeffrey M. Shainline, Robin Santra","cross_cats":[],"headline":"","license":"","primary_cat":"physics.atom-ph","submitted_at":"2004-08-11T23:48:28Z","title":"Siegert pseudostates: completeness and time evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0408051","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":"sha256:4a65682718fb582b8c4fc0f053402721e0ac551842394bbf926c53de1bc16fbc","target":"record","created_at":"2026-07-04T16:49:55Z","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":"70478085a11c81ebd60c9f704d18ef9d5520970b0789941670d155194c1963e1","cross_cats_sorted":[],"license":"","primary_cat":"physics.atom-ph","submitted_at":"2004-08-11T23:48:28Z","title_canon_sha256":"07096fc813f5c6a24aec2dd652d1a8b1d4d55a678a30e9aabe4787d4dabf40c1"},"schema_version":"1.0","source":{"id":"physics/0408051","kind":"arxiv","version":1}},"canonical_sha256":"5d4dfab73cdf1d03d5977280433310aefb697bebb3a2372aedc929c980776155","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d4dfab73cdf1d03d5977280433310aefb697bebb3a2372aedc929c980776155","first_computed_at":"2026-07-04T16:49:55.295060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:49:55.295060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bsr7zbAE2NwsCfXC3FVJYdPE6iaJiO0bFdkpqSW/5x54oKp44k1BF66VmO/6/I6xFTk06Hpvs3kFZu0c9WcuDw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:49:55.295611Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0408051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a65682718fb582b8c4fc0f053402721e0ac551842394bbf926c53de1bc16fbc","sha256:ccd69be5b4532cea98a4aea5ff24ac3f7f22a57fec6000f5ef374927d1078236"],"state_sha256":"3f53b0a8c62f3f62b6003cc7c9c23b25a4ba96b5a9b8e84fba996a700ed30a1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdGvQ2RFWat/tj+E6H09OxuEgWQLSGhkpV2JVkzg+USixfhRxChelXA9gujo+Jwp05wekgmmSEmGKg5HGzR+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T20:50:44.766948Z","bundle_sha256":"8167303ff9046fdf36c78c2bb1088dec54f408a93aa7797d86811751a5d37a93"}}