{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:A6DMIYMG3H23N5LGI274LPZMG6","short_pith_number":"pith:A6DMIYMG","canonical_record":{"source":{"id":"1804.06587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-04-18T07:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"184b0863a7a2270124c0eab411148ebe57291d08b21324f39d0267e66d4a4406","abstract_canon_sha256":"72413dd7fc6d0a71087dbc96fb4b58d32bffeac613569cd2c4cdb8cfc1fb0e61"},"schema_version":"1.0"},"canonical_sha256":"0786c46186d9f5b6f56646bfc5bf2c379aa3cff48f9b894d33c45cd3f15e82b2","source":{"kind":"arxiv","id":"1804.06587","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06587","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06587v1","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06587","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"pith_short_12","alias_value":"A6DMIYMG3H23","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A6DMIYMG3H23N5LG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A6DMIYMG","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:A6DMIYMG3H23N5LGI274LPZMG6","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-04-18T07:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"184b0863a7a2270124c0eab411148ebe57291d08b21324f39d0267e66d4a4406","abstract_canon_sha256":"72413dd7fc6d0a71087dbc96fb4b58d32bffeac613569cd2c4cdb8cfc1fb0e61"},"schema_version":"1.0"},"canonical_sha256":"0786c46186d9f5b6f56646bfc5bf2c379aa3cff48f9b894d33c45cd3f15e82b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:41.870790Z","signature_b64":"WMhB1Bx5dPryaEw8rZTQsj+534dMbNWQygpvEgO0+27Vat42qQyVG3RSgJjXRqIDxcYy1/Is+tGsCLLSbqmzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0786c46186d9f5b6f56646bfc5bf2c379aa3cff48f9b894d33c45cd3f15e82b2","last_reissued_at":"2026-05-17T23:39:41.870152Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:41.870152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06587","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":"2026-05-17T23:39:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Mv01Ra0orpY2kiH/VKvDkQOfIqTaWO3besRXQ7EgKccEll9r+k3whu8Vr5cBYgoZR4FbGKY/GsKML4HiY8zBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T01:33:57.387812Z"},"content_sha256":"6e7f881210877ba3ffded0aae2e862a8b3dd5f7bc76f85f3da30a26856e46459","schema_version":"1.0","event_id":"sha256:6e7f881210877ba3ffded0aae2e862a8b3dd5f7bc76f85f3da30a26856e46459"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:A6DMIYMG3H23N5LGI274LPZMG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A route to chaos in the Boros-Moll map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Iryna Sushko, Laura Gardini, V\\'ictor Ma\\~nosa","submitted_at":"2018-04-18T07:36:04Z","abstract_excerpt":"The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter family of maps which unfolds the Boros-Moll one, showing that the existence of an unbounded invariant chaotic region in the Boros-Moll map is a peculiar feature within the family. We relate this singularity with a specific property of the critical lines that occurs only for this special case. In particular, we explain how the unbounded chaotic region in the Boros-Moll map appe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06587","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":"2026-05-17T23:39:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pZm6ouU/eXOP4bkRA6FnDhiIdig7tgXIpRhsAuuCqzC9pE+ReR6qfmNcQFj2sKAyZTKU2CaENCQTOc+RvEEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T01:33:57.388156Z"},"content_sha256":"79d2a864960a8139c2d814f93d9b4973148ed467b07dd7979fb180eea57ef4bc","schema_version":"1.0","event_id":"sha256:79d2a864960a8139c2d814f93d9b4973148ed467b07dd7979fb180eea57ef4bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A6DMIYMG3H23N5LGI274LPZMG6/bundle.json","state_url":"https://pith.science/pith/A6DMIYMG3H23N5LGI274LPZMG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A6DMIYMG3H23N5LGI274LPZMG6/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":"2026-07-03T01:33:57Z","links":{"resolver":"https://pith.science/pith/A6DMIYMG3H23N5LGI274LPZMG6","bundle":"https://pith.science/pith/A6DMIYMG3H23N5LGI274LPZMG6/bundle.json","state":"https://pith.science/pith/A6DMIYMG3H23N5LGI274LPZMG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A6DMIYMG3H23N5LGI274LPZMG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A6DMIYMG3H23N5LGI274LPZMG6","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":"72413dd7fc6d0a71087dbc96fb4b58d32bffeac613569cd2c4cdb8cfc1fb0e61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-04-18T07:36:04Z","title_canon_sha256":"184b0863a7a2270124c0eab411148ebe57291d08b21324f39d0267e66d4a4406"},"schema_version":"1.0","source":{"id":"1804.06587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06587","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06587v1","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06587","created_at":"2026-05-17T23:39:41Z"},{"alias_kind":"pith_short_12","alias_value":"A6DMIYMG3H23","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A6DMIYMG3H23N5LG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A6DMIYMG","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:79d2a864960a8139c2d814f93d9b4973148ed467b07dd7979fb180eea57ef4bc","target":"graph","created_at":"2026-05-17T23:39:41Z","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":"The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter family of maps which unfolds the Boros-Moll one, showing that the existence of an unbounded invariant chaotic region in the Boros-Moll map is a peculiar feature within the family. We relate this singularity with a specific property of the critical lines that occurs only for this special case. In particular, we explain how the unbounded chaotic region in the Boros-Moll map appe","authors_text":"Iryna Sushko, Laura Gardini, V\\'ictor Ma\\~nosa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-04-18T07:36:04Z","title":"A route to chaos in the Boros-Moll map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06587","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":"sha256:6e7f881210877ba3ffded0aae2e862a8b3dd5f7bc76f85f3da30a26856e46459","target":"record","created_at":"2026-05-17T23:39:41Z","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":"72413dd7fc6d0a71087dbc96fb4b58d32bffeac613569cd2c4cdb8cfc1fb0e61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-04-18T07:36:04Z","title_canon_sha256":"184b0863a7a2270124c0eab411148ebe57291d08b21324f39d0267e66d4a4406"},"schema_version":"1.0","source":{"id":"1804.06587","kind":"arxiv","version":1}},"canonical_sha256":"0786c46186d9f5b6f56646bfc5bf2c379aa3cff48f9b894d33c45cd3f15e82b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0786c46186d9f5b6f56646bfc5bf2c379aa3cff48f9b894d33c45cd3f15e82b2","first_computed_at":"2026-05-17T23:39:41.870152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:41.870152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMhB1Bx5dPryaEw8rZTQsj+534dMbNWQygpvEgO0+27Vat42qQyVG3RSgJjXRqIDxcYy1/Is+tGsCLLSbqmzDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:41.870790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e7f881210877ba3ffded0aae2e862a8b3dd5f7bc76f85f3da30a26856e46459","sha256:79d2a864960a8139c2d814f93d9b4973148ed467b07dd7979fb180eea57ef4bc"],"state_sha256":"9b9d6d1f5d9fbfc7b01168183ec27804f8cd58014c062361915558e1dd458063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8P3NE2tKoSUnE+nKNfjOkkC/yQV6maKjO00d0iw7yhXxhvhDqVCWJaZSoDeeb9EepbIgBFK/dev0M8murm4eAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T01:33:57.389963Z","bundle_sha256":"32bd8adad021e5acfd28d8c2dacfbbfcc3d5be69b0f135f49ef10ba282cb05bc"}}