{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VZAXZC2CSN3YVMWKPDEFDZSWL6","short_pith_number":"pith:VZAXZC2C","canonical_record":{"source":{"id":"1704.03380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-11T15:54:30Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"52c228027c5738dbabb193591872af21feabe6e5ae4783821ab2c2364c273482","abstract_canon_sha256":"1bfa406c0a3bb6492486d71864e53ad4a2fbbccc219b9253d4adb8ba7ec4dea8"},"schema_version":"1.0"},"canonical_sha256":"ae417c8b4293778ab2ca78c851e6565f8180aec1ba51bddb774b030ea926eb77","source":{"kind":"arxiv","id":"1704.03380","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03380","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03380v1","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03380","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"VZAXZC2CSN3Y","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZAXZC2CSN3YVMWK","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZAXZC2C","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VZAXZC2CSN3YVMWKPDEFDZSWL6","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-11T15:54:30Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"52c228027c5738dbabb193591872af21feabe6e5ae4783821ab2c2364c273482","abstract_canon_sha256":"1bfa406c0a3bb6492486d71864e53ad4a2fbbccc219b9253d4adb8ba7ec4dea8"},"schema_version":"1.0"},"canonical_sha256":"ae417c8b4293778ab2ca78c851e6565f8180aec1ba51bddb774b030ea926eb77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:32.673710Z","signature_b64":"oVQMCdomcvvvQTla1t3C2pne1EcVwUfP+XUIzdF5qT+gnEwmjL/0QFXWaOoQ74ZlG2MyAbSNcAqaph1Goy+bBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae417c8b4293778ab2ca78c851e6565f8180aec1ba51bddb774b030ea926eb77","last_reissued_at":"2026-05-18T00:46:32.673123Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:32.673123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03380","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":"2026-05-18T00:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZeY4H1JQmyCpu20W2zs31+cJXsX3w41mHD176KY8SAdRLKYroB37HeH/7qaFskGmQmEVR0LYU6Mv+NrXcKVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:46:32.592560Z"},"content_sha256":"da747033e98ac76c7b4265d8f36790f9100d124794f2fd21e4b94cd001c0b7b9","schema_version":"1.0","event_id":"sha256:da747033e98ac76c7b4265d8f36790f9100d124794f2fd21e4b94cd001c0b7b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VZAXZC2CSN3YVMWKPDEFDZSWL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An ad-hoc modified Likelihood Function Applied to Optimization of Data Analysis in Atomic Spectroscopy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"stat.AP","authors_text":"Leonardo Bennun","submitted_at":"2017-04-11T15:54:30Z","abstract_excerpt":"In this paper we propose an ad-hoc construction of the Likelihood Function, in order to develop a data analysis procedure, to be applied in atomic and nuclear spectral analysis. The classical Likelihood Function was modified taking into account the underlying statistics of the phenomena studied, by the inspection of the residues of the fitting, which should behave with specific statistical properties. This new formulation was analytically developed, but the sought parameter should be evaluated numerically, since it cannot be obtained as a function of each one of the independent variables. For "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03380","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":"2026-05-18T00:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFzWqzvULiXBd+eOmVlFw8AmEcaB941PD5J5JOF3hfYGyIJo2f2wXHhNTKx8G4oyL/qFmRiGjcdDh5jCPjeIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:46:32.592912Z"},"content_sha256":"833a9d6e0a78f6de6cfe24ca1221631111f5dcba60aa329fe48c0deb05b7e911","schema_version":"1.0","event_id":"sha256:833a9d6e0a78f6de6cfe24ca1221631111f5dcba60aa329fe48c0deb05b7e911"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/bundle.json","state_url":"https://pith.science/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/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":"2026-06-03T22:46:32Z","links":{"resolver":"https://pith.science/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6","bundle":"https://pith.science/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/bundle.json","state":"https://pith.science/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZAXZC2CSN3YVMWKPDEFDZSWL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VZAXZC2CSN3YVMWKPDEFDZSWL6","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":"1bfa406c0a3bb6492486d71864e53ad4a2fbbccc219b9253d4adb8ba7ec4dea8","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-11T15:54:30Z","title_canon_sha256":"52c228027c5738dbabb193591872af21feabe6e5ae4783821ab2c2364c273482"},"schema_version":"1.0","source":{"id":"1704.03380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03380","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03380v1","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03380","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"VZAXZC2CSN3Y","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZAXZC2CSN3YVMWK","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZAXZC2C","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:833a9d6e0a78f6de6cfe24ca1221631111f5dcba60aa329fe48c0deb05b7e911","target":"graph","created_at":"2026-05-18T00:46:32Z","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":"In this paper we propose an ad-hoc construction of the Likelihood Function, in order to develop a data analysis procedure, to be applied in atomic and nuclear spectral analysis. The classical Likelihood Function was modified taking into account the underlying statistics of the phenomena studied, by the inspection of the residues of the fitting, which should behave with specific statistical properties. This new formulation was analytically developed, but the sought parameter should be evaluated numerically, since it cannot be obtained as a function of each one of the independent variables. For ","authors_text":"Leonardo Bennun","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-11T15:54:30Z","title":"An ad-hoc modified Likelihood Function Applied to Optimization of Data Analysis in Atomic Spectroscopy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03380","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:da747033e98ac76c7b4265d8f36790f9100d124794f2fd21e4b94cd001c0b7b9","target":"record","created_at":"2026-05-18T00:46:32Z","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":"1bfa406c0a3bb6492486d71864e53ad4a2fbbccc219b9253d4adb8ba7ec4dea8","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-11T15:54:30Z","title_canon_sha256":"52c228027c5738dbabb193591872af21feabe6e5ae4783821ab2c2364c273482"},"schema_version":"1.0","source":{"id":"1704.03380","kind":"arxiv","version":1}},"canonical_sha256":"ae417c8b4293778ab2ca78c851e6565f8180aec1ba51bddb774b030ea926eb77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae417c8b4293778ab2ca78c851e6565f8180aec1ba51bddb774b030ea926eb77","first_computed_at":"2026-05-18T00:46:32.673123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:32.673123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oVQMCdomcvvvQTla1t3C2pne1EcVwUfP+XUIzdF5qT+gnEwmjL/0QFXWaOoQ74ZlG2MyAbSNcAqaph1Goy+bBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:32.673710Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da747033e98ac76c7b4265d8f36790f9100d124794f2fd21e4b94cd001c0b7b9","sha256:833a9d6e0a78f6de6cfe24ca1221631111f5dcba60aa329fe48c0deb05b7e911"],"state_sha256":"bdb87438729c49cc8c9062996f2c4e9608cd8e178786981ca17442c8d1a5b351"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/m9+FDgdVQUlQc3yG3KLKsrdICdJq9WRfrT7O02/r/J2qfcV9I/uJ+vJSjkGvwJ1+/QtisNc3Xd5WqH8ExPwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:46:32.595394Z","bundle_sha256":"2048e5d831c509dbd3238ae0528eddd6be8269ab83b4278d2e64980619d287f8"}}