{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SVAKO4TCWVFPMVJZLHHV3JJXCD","short_pith_number":"pith:SVAKO4TC","schema_version":"1.0","canonical_sha256":"9540a77262b54af6553959cf5da53710c40c9ef8469e7b7a662c7759224dbced","source":{"kind":"arxiv","id":"1608.02891","version":1},"attestation_state":"computed","paper":{"title":"Sums of variables at the onset of chaos, replenished","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Alberto Robledo, Alvaro Diaz-Ruelas","submitted_at":"2016-08-09T18:05:26Z","abstract_excerpt":"As a counterpart to our previous study of the stationary distribution formed by sums of positions at the Feigenbaum point via the period-doubling cascade in the logistic map (Eur. Phys. J. B 87 32, (2014)), we determine the family of related distributions for the accompanying cascade of chaotic band-splitting points in the same system. By doing this we rationalize how the interplay of regular and chaotic dynamics gives rise to either multiscale or gaussian limit distributions. As demonstrated before (J. Stat. Mech. P01001 (2010)), sums of trajectory positions associated with the chaotic-band a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1608.02891","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-09T18:05:26Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"075766e82f0176013c4359e4af6f4b5164bb4b23f9548eb6f2d2765b0957e196","abstract_canon_sha256":"c5d5ea48c286dbe3b1e513d8f6b990c2f9a0b9b91ab0e954cd10b37cd5e62cef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:34.965705Z","signature_b64":"EM2XVutW0RVQPMMiCu3FkUmqUgktNZQTVMKDTrILfnnUU3z1IVXL4mrMB/FD2PTY27zunnbG4H7zDU2rLCfDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9540a77262b54af6553959cf5da53710c40c9ef8469e7b7a662c7759224dbced","last_reissued_at":"2026-05-18T00:54:34.965122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:34.965122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sums of variables at the onset of chaos, replenished","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Alberto Robledo, Alvaro Diaz-Ruelas","submitted_at":"2016-08-09T18:05:26Z","abstract_excerpt":"As a counterpart to our previous study of the stationary distribution formed by sums of positions at the Feigenbaum point via the period-doubling cascade in the logistic map (Eur. Phys. J. B 87 32, (2014)), we determine the family of related distributions for the accompanying cascade of chaotic band-splitting points in the same system. By doing this we rationalize how the interplay of regular and chaotic dynamics gives rise to either multiscale or gaussian limit distributions. As demonstrated before (J. Stat. Mech. P01001 (2010)), sums of trajectory positions associated with the chaotic-band a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02891","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.02891","created_at":"2026-05-18T00:54:34.965199+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02891v1","created_at":"2026-05-18T00:54:34.965199+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02891","created_at":"2026-05-18T00:54:34.965199+00:00"},{"alias_kind":"pith_short_12","alias_value":"SVAKO4TCWVFP","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SVAKO4TCWVFPMVJZ","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SVAKO4TC","created_at":"2026-05-18T12:30:44.179134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD","json":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD.json","graph_json":"https://pith.science/api/pith-number/SVAKO4TCWVFPMVJZLHHV3JJXCD/graph.json","events_json":"https://pith.science/api/pith-number/SVAKO4TCWVFPMVJZLHHV3JJXCD/events.json","paper":"https://pith.science/paper/SVAKO4TC"},"agent_actions":{"view_html":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD","download_json":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD.json","view_paper":"https://pith.science/paper/SVAKO4TC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02891&json=true","fetch_graph":"https://pith.science/api/pith-number/SVAKO4TCWVFPMVJZLHHV3JJXCD/graph.json","fetch_events":"https://pith.science/api/pith-number/SVAKO4TCWVFPMVJZLHHV3JJXCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD/action/storage_attestation","attest_author":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD/action/author_attestation","sign_citation":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD/action/citation_signature","submit_replication":"https://pith.science/pith/SVAKO4TCWVFPMVJZLHHV3JJXCD/action/replication_record"}},"created_at":"2026-05-18T00:54:34.965199+00:00","updated_at":"2026-05-18T00:54:34.965199+00:00"}