{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LXWMHNU6IYDXJHYFTOHVINOQGF","short_pith_number":"pith:LXWMHNU6","canonical_record":{"source":{"id":"1607.06571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-22T06:37:38Z","cross_cats_sorted":[],"title_canon_sha256":"691f014ff47ab190e19f662c14703264ea08ef7a798be3524250c8d5ee935a96","abstract_canon_sha256":"48ccd656329d5fcf4ba7ef63c2ac8e9f271ffc8ab0b0a25bb21fa6543df210fd"},"schema_version":"1.0"},"canonical_sha256":"5decc3b69e4607749f059b8f5435d03144a501e4a90b0d55ff64110311adbdf2","source":{"kind":"arxiv","id":"1607.06571","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06571","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06571v1","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06571","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"LXWMHNU6IYDX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LXWMHNU6IYDXJHYF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LXWMHNU6","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LXWMHNU6IYDXJHYFTOHVINOQGF","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-22T06:37:38Z","cross_cats_sorted":[],"title_canon_sha256":"691f014ff47ab190e19f662c14703264ea08ef7a798be3524250c8d5ee935a96","abstract_canon_sha256":"48ccd656329d5fcf4ba7ef63c2ac8e9f271ffc8ab0b0a25bb21fa6543df210fd"},"schema_version":"1.0"},"canonical_sha256":"5decc3b69e4607749f059b8f5435d03144a501e4a90b0d55ff64110311adbdf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:47.747527Z","signature_b64":"y6isj27uo66r+q6EfCyrBPbbzsvwPbBuzJ7FHxTe20bMToCwlylx0nT1xPlkyWrJwq4kv5aj/wDrB1d0nq0hCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5decc3b69e4607749f059b8f5435d03144a501e4a90b0d55ff64110311adbdf2","last_reissued_at":"2026-05-18T00:51:47.746849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:47.746849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06571","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":"2026-05-18T00:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E6woBtxSgX0fNrKTQHwtV9wJWaAYdO2gSKhyd7w3GJU0unT+o6RngpTFH41RT9spd8cZMrYl5wUkuDeVjJt8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:42:21.720944Z"},"content_sha256":"d0d6b9671a7c72a041f68627e5b4a2e7b6725313b11dc166e40efaa82e1b781c","schema_version":"1.0","event_id":"sha256:d0d6b9671a7c72a041f68627e5b4a2e7b6725313b11dc166e40efaa82e1b781c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LXWMHNU6IYDXJHYFTOHVINOQGF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Application of sampling theory in modeling of continuum processes: photoionization cross-sections of atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"Alex Kozlov, Harry Quiney, Saumitra Saha","submitted_at":"2016-07-22T06:37:38Z","abstract_excerpt":"We describe a method for the calculation of photoionization cross-sections using square-integrable amplitudes obtained from the diagonalization of finite-basis set representations of the electronic Hamiltonian. Three examples are considered: a model example in which the final state is a free particle, the hydrogen atom and neutral atomic sodium. The method exploits the Whittaker-Shannon-Kotel'nikov sampling theorem, which is widely used in digital signal sampling and reconstruction. The approach reproduces known data with very good accuracy and converges to the exact solution with increase of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06571","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":""},"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":"2026-05-18T00:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TLF7Kig0dYVWT9Yec6NB0QgBU21VnuVskQ4ZP+DIrj93N+xW2PGFBOCxqtkioXfcX9OYAVJn1rA692cNzuoKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T17:42:21.721291Z"},"content_sha256":"4bc565dda25fadb0aedf86f4dd1e666d13a4e88c4fe2c13b014b128928c043e1","schema_version":"1.0","event_id":"sha256:4bc565dda25fadb0aedf86f4dd1e666d13a4e88c4fe2c13b014b128928c043e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/bundle.json","state_url":"https://pith.science/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/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":"2026-07-01T17:42:21Z","links":{"resolver":"https://pith.science/pith/LXWMHNU6IYDXJHYFTOHVINOQGF","bundle":"https://pith.science/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/bundle.json","state":"https://pith.science/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXWMHNU6IYDXJHYFTOHVINOQGF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LXWMHNU6IYDXJHYFTOHVINOQGF","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":"48ccd656329d5fcf4ba7ef63c2ac8e9f271ffc8ab0b0a25bb21fa6543df210fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-22T06:37:38Z","title_canon_sha256":"691f014ff47ab190e19f662c14703264ea08ef7a798be3524250c8d5ee935a96"},"schema_version":"1.0","source":{"id":"1607.06571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06571","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06571v1","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06571","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"LXWMHNU6IYDX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LXWMHNU6IYDXJHYF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LXWMHNU6","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:4bc565dda25fadb0aedf86f4dd1e666d13a4e88c4fe2c13b014b128928c043e1","target":"graph","created_at":"2026-05-18T00:51:47Z","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"},"paper":{"abstract_excerpt":"We describe a method for the calculation of photoionization cross-sections using square-integrable amplitudes obtained from the diagonalization of finite-basis set representations of the electronic Hamiltonian. Three examples are considered: a model example in which the final state is a free particle, the hydrogen atom and neutral atomic sodium. The method exploits the Whittaker-Shannon-Kotel'nikov sampling theorem, which is widely used in digital signal sampling and reconstruction. The approach reproduces known data with very good accuracy and converges to the exact solution with increase of ","authors_text":"Alex Kozlov, Harry Quiney, Saumitra Saha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-22T06:37:38Z","title":"Application of sampling theory in modeling of continuum processes: photoionization cross-sections of atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06571","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:d0d6b9671a7c72a041f68627e5b4a2e7b6725313b11dc166e40efaa82e1b781c","target":"record","created_at":"2026-05-18T00:51:47Z","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":"48ccd656329d5fcf4ba7ef63c2ac8e9f271ffc8ab0b0a25bb21fa6543df210fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2016-07-22T06:37:38Z","title_canon_sha256":"691f014ff47ab190e19f662c14703264ea08ef7a798be3524250c8d5ee935a96"},"schema_version":"1.0","source":{"id":"1607.06571","kind":"arxiv","version":1}},"canonical_sha256":"5decc3b69e4607749f059b8f5435d03144a501e4a90b0d55ff64110311adbdf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5decc3b69e4607749f059b8f5435d03144a501e4a90b0d55ff64110311adbdf2","first_computed_at":"2026-05-18T00:51:47.746849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:47.746849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y6isj27uo66r+q6EfCyrBPbbzsvwPbBuzJ7FHxTe20bMToCwlylx0nT1xPlkyWrJwq4kv5aj/wDrB1d0nq0hCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:47.747527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0d6b9671a7c72a041f68627e5b4a2e7b6725313b11dc166e40efaa82e1b781c","sha256:4bc565dda25fadb0aedf86f4dd1e666d13a4e88c4fe2c13b014b128928c043e1"],"state_sha256":"b1ccf554ac7806fb1322fca7933158ff5dd42ccdc87b1e98a5a3cffe64062f69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dn6zsLBmdVjG/WgvtDOT14k0XrH1wWi6LCpIU19OfyXNRGWdElhUBffe1qrOCsdKT9R5tsk6UkbLlarEb3MVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T17:42:21.723231Z","bundle_sha256":"3aeab624aac6a72536b57750003028b05edd02a51bacf44316a320b0f9873eb7"}}