{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:V76I7J4AFIBZTK34PIZSRNZOQV","short_pith_number":"pith:V76I7J4A","canonical_record":{"source":{"id":"2605.31265","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-05-29T12:59:42Z","cross_cats_sorted":[],"title_canon_sha256":"3498592dcd167b7ae5f4741bd65f9c910c66e3ddb35c399c2af7f01949a3b40d","abstract_canon_sha256":"48952ca99e01acc019ffa23767a6084e73f27d627b511a40a9a5277569721957"},"schema_version":"1.0"},"canonical_sha256":"affc8fa7802a0399ab7c7a3328b72e855fb63e7c22ff7a4c63aeab01a970c231","source":{"kind":"arxiv","id":"2605.31265","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31265","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31265v1","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31265","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"V76I7J4AFIBZ","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"V76I7J4AFIBZTK34","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"V76I7J4A","created_at":"2026-06-01T01:04:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:V76I7J4AFIBZTK34PIZSRNZOQV","target":"record","payload":{"canonical_record":{"source":{"id":"2605.31265","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-05-29T12:59:42Z","cross_cats_sorted":[],"title_canon_sha256":"3498592dcd167b7ae5f4741bd65f9c910c66e3ddb35c399c2af7f01949a3b40d","abstract_canon_sha256":"48952ca99e01acc019ffa23767a6084e73f27d627b511a40a9a5277569721957"},"schema_version":"1.0"},"canonical_sha256":"affc8fa7802a0399ab7c7a3328b72e855fb63e7c22ff7a4c63aeab01a970c231","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:04:07.584042Z","signature_b64":"t2uVKkdjeJbCs2YhFR8ZJm1lJhnB0jwpEQY6WFgIi2Yci6yGh+l1crnczKyEpCpjcrKnBqwGbEgwUp0aXPsRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"affc8fa7802a0399ab7c7a3328b72e855fb63e7c22ff7a4c63aeab01a970c231","last_reissued_at":"2026-06-01T01:04:07.583277Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:04:07.583277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.31265","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":"2026-06-01T01:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvTXIMkWS/8JcWrJCMkjFayaRLd1eoV2lEyoGGos+OEJCp+FSOWWHYCVt9cLvCaThxk9kX6UieTsOKGTZy8VAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:10:33.191775Z"},"content_sha256":"bd7835585ac05f9ff8bb49a0ff25f7150db024301c488b89edbbca1b76a316ad","schema_version":"1.0","event_id":"sha256:bd7835585ac05f9ff8bb49a0ff25f7150db024301c488b89edbbca1b76a316ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:V76I7J4AFIBZTK34PIZSRNZOQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subjective Time Deformation in Intertemporal Choice: A Functional Data Analysis Approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Andrea Mazzitelli, Annamaria Porreca, Fabrizio Maturo, Salvador Cruz Rambaud, Vincenzo Li Calzi","submitted_at":"2026-05-29T12:59:42Z","abstract_excerpt":"Intertemporal choice data are usually summarized through scalar discount-rate parameters or fitted by predetermined parametric discount functions, although relevant information may lie in the shape of the whole discounting trajectory. This paper proposes a Functional Data Analysis framework for reconstructing and analyzing implicit subjective-time trajectories from discrete intertemporal equivalence judgments. Monetary equivalence responses from a multilingual questionnaire are transformed into individual discount curves, regularized by monotone smoothing, and used to recover normalized implic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31265","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/2605.31265/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":"2026-06-01T01:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MxWD3IKcBgEgif7lU3J6qj6UB9/rrAdTQzHLp+FKcqWTzWSku6zWW+FkXFfrEhDOugMcp8tqmFL6lm+H3DZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:10:33.192149Z"},"content_sha256":"4cc33b620822688fc7a9d456c482e90628c0b39ea6f6d07b4cbfb97fc6e28066","schema_version":"1.0","event_id":"sha256:4cc33b620822688fc7a9d456c482e90628c0b39ea6f6d07b4cbfb97fc6e28066"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V76I7J4AFIBZTK34PIZSRNZOQV/bundle.json","state_url":"https://pith.science/pith/V76I7J4AFIBZTK34PIZSRNZOQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V76I7J4AFIBZTK34PIZSRNZOQV/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":"2026-06-12T07:10:33Z","links":{"resolver":"https://pith.science/pith/V76I7J4AFIBZTK34PIZSRNZOQV","bundle":"https://pith.science/pith/V76I7J4AFIBZTK34PIZSRNZOQV/bundle.json","state":"https://pith.science/pith/V76I7J4AFIBZTK34PIZSRNZOQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V76I7J4AFIBZTK34PIZSRNZOQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:V76I7J4AFIBZTK34PIZSRNZOQV","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":"48952ca99e01acc019ffa23767a6084e73f27d627b511a40a9a5277569721957","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-05-29T12:59:42Z","title_canon_sha256":"3498592dcd167b7ae5f4741bd65f9c910c66e3ddb35c399c2af7f01949a3b40d"},"schema_version":"1.0","source":{"id":"2605.31265","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31265","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31265v1","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31265","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"V76I7J4AFIBZ","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_16","alias_value":"V76I7J4AFIBZTK34","created_at":"2026-06-01T01:04:07Z"},{"alias_kind":"pith_short_8","alias_value":"V76I7J4A","created_at":"2026-06-01T01:04:07Z"}],"graph_snapshots":[{"event_id":"sha256:4cc33b620822688fc7a9d456c482e90628c0b39ea6f6d07b4cbfb97fc6e28066","target":"graph","created_at":"2026-06-01T01:04:07Z","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/2605.31265/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Intertemporal choice data are usually summarized through scalar discount-rate parameters or fitted by predetermined parametric discount functions, although relevant information may lie in the shape of the whole discounting trajectory. This paper proposes a Functional Data Analysis framework for reconstructing and analyzing implicit subjective-time trajectories from discrete intertemporal equivalence judgments. Monetary equivalence responses from a multilingual questionnaire are transformed into individual discount curves, regularized by monotone smoothing, and used to recover normalized implic","authors_text":"Andrea Mazzitelli, Annamaria Porreca, Fabrizio Maturo, Salvador Cruz Rambaud, Vincenzo Li Calzi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-05-29T12:59:42Z","title":"Subjective Time Deformation in Intertemporal Choice: A Functional Data Analysis Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31265","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:bd7835585ac05f9ff8bb49a0ff25f7150db024301c488b89edbbca1b76a316ad","target":"record","created_at":"2026-06-01T01:04:07Z","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":"48952ca99e01acc019ffa23767a6084e73f27d627b511a40a9a5277569721957","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-05-29T12:59:42Z","title_canon_sha256":"3498592dcd167b7ae5f4741bd65f9c910c66e3ddb35c399c2af7f01949a3b40d"},"schema_version":"1.0","source":{"id":"2605.31265","kind":"arxiv","version":1}},"canonical_sha256":"affc8fa7802a0399ab7c7a3328b72e855fb63e7c22ff7a4c63aeab01a970c231","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"affc8fa7802a0399ab7c7a3328b72e855fb63e7c22ff7a4c63aeab01a970c231","first_computed_at":"2026-06-01T01:04:07.583277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:04:07.583277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t2uVKkdjeJbCs2YhFR8ZJm1lJhnB0jwpEQY6WFgIi2Yci6yGh+l1crnczKyEpCpjcrKnBqwGbEgwUp0aXPsRBg==","signature_status":"signed_v1","signed_at":"2026-06-01T01:04:07.584042Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31265","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd7835585ac05f9ff8bb49a0ff25f7150db024301c488b89edbbca1b76a316ad","sha256:4cc33b620822688fc7a9d456c482e90628c0b39ea6f6d07b4cbfb97fc6e28066"],"state_sha256":"a0afc2966923dd9d7a29467c9e153d346911e88f9c46ba15a49838f2ecbfd14f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u3W/A+Uzr+pZQg+D+ZGQ5KE/59g/h1kNtF0r7hRjgXcnY0lUS5MNOmL6k6jotbvl1XVRI+UPSObjsrhVLv9BBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T07:10:33.194495Z","bundle_sha256":"32ebce1d19171fd3a939d726bfaab64e4ad00ddfe2308bd4138967f9da6b0f67"}}