{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EGTBADQZMY7J52SWWHKZ6GM4ZJ","short_pith_number":"pith:EGTBADQZ","canonical_record":{"source":{"id":"2608.09310","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-08-10T08:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"8bafc3584c0aca4c30d3c069921ff9d9fa4e5ebeafe65e7fe6da446649fbda0d","abstract_canon_sha256":"1c2a370c4c9f454db48ab71ff7dc68cf47ddd94a869f2ed922a6157942bcd9bf"},"schema_version":"1.0"},"canonical_sha256":"21a6100e19663e9eea56b1d59f199cca5bfb153fefc71ea1d641dfe86e625ca9","source":{"kind":"arxiv","id":"2608.09310","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.09310","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"2608.09310v1","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.09310","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"EGTBADQZMY7J","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_16","alias_value":"EGTBADQZMY7J52SW","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_8","alias_value":"EGTBADQZ","created_at":"2026-08-11T02:22:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EGTBADQZMY7J52SWWHKZ6GM4ZJ","target":"record","payload":{"canonical_record":{"source":{"id":"2608.09310","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-08-10T08:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"8bafc3584c0aca4c30d3c069921ff9d9fa4e5ebeafe65e7fe6da446649fbda0d","abstract_canon_sha256":"1c2a370c4c9f454db48ab71ff7dc68cf47ddd94a869f2ed922a6157942bcd9bf"},"schema_version":"1.0"},"canonical_sha256":"21a6100e19663e9eea56b1d59f199cca5bfb153fefc71ea1d641dfe86e625ca9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T02:22:19.183467Z","signature_b64":"dp9OsU9eEloQKoW6c80Di9ikoH5eQJ70jNZUS5F+hPeh4Hx2SKB/3VblO1GUARlRdUWws+qlXGCENguL19bRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21a6100e19663e9eea56b1d59f199cca5bfb153fefc71ea1d641dfe86e625ca9","last_reissued_at":"2026-08-11T02:22:19.181872Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T02:22:19.181872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.09310","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":"2026-08-11T02:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WH82vZF1jKmuYmgyGATbrIx7deaC9+CwC0V/f08n/kEPeJMdW+kQTMqO59lpmbEr7U5eL1XERUSlHP9m6cG+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T14:11:06.120376Z"},"content_sha256":"917433365b5a238de69b6355bf06ff44279fa383362a794a9d80f574aea85d40","schema_version":"1.0","event_id":"sha256:917433365b5a238de69b6355bf06ff44279fa383362a794a9d80f574aea85d40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EGTBADQZMY7J52SWWHKZ6GM4ZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics and non-integrability of the Swinging Atwood Machine with a massive string: chaos, periodic orbits and resonance structures","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Jakub Bembenek, Wojciech Szumi\\'nski","submitted_at":"2026-08-10T08:54:42Z","abstract_excerpt":"Building upon our previous studies on nonlinear variable-length pendulum systems, we investigate the Swinging Atwood Machine with a massive string. In contrast to the classical model, string inertia introduces a configuration-dependent moment of inertia, leading to a modified Hamiltonian structure and substantially richer dynamics.\n  To uncover the global organization of the phase space, we combine Poincar\\'e sections, bifurcation diagrams, and Lyapunov exponent maps with our recently developed numerical framework, ,,Lyapunov Refined Maps\". This approach provides a unified visualization of per"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.09310","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/2608.09310/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":"2026-08-11T02:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7j9lLJSYqYelbystkmsCm2RSIP1bRVY8dGBmsyFHCasN2IyCbEDQPguKLs+o1iHzXp0+YOW6Rq4HOf2G18j2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T14:11:06.120879Z"},"content_sha256":"584796f41be3f07f5170f073258d398c0dfbd43a486535613aaaffce964f3a0b","schema_version":"1.0","event_id":"sha256:584796f41be3f07f5170f073258d398c0dfbd43a486535613aaaffce964f3a0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/bundle.json","state_url":"https://pith.science/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/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":"2026-08-13T14:11:06Z","links":{"resolver":"https://pith.science/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ","bundle":"https://pith.science/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/bundle.json","state":"https://pith.science/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EGTBADQZMY7J52SWWHKZ6GM4ZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EGTBADQZMY7J52SWWHKZ6GM4ZJ","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":"1c2a370c4c9f454db48ab71ff7dc68cf47ddd94a869f2ed922a6157942bcd9bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-08-10T08:54:42Z","title_canon_sha256":"8bafc3584c0aca4c30d3c069921ff9d9fa4e5ebeafe65e7fe6da446649fbda0d"},"schema_version":"1.0","source":{"id":"2608.09310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.09310","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"2608.09310v1","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.09310","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"EGTBADQZMY7J","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_16","alias_value":"EGTBADQZMY7J52SW","created_at":"2026-08-11T02:22:19Z"},{"alias_kind":"pith_short_8","alias_value":"EGTBADQZ","created_at":"2026-08-11T02:22:19Z"}],"graph_snapshots":[{"event_id":"sha256:584796f41be3f07f5170f073258d398c0dfbd43a486535613aaaffce964f3a0b","target":"graph","created_at":"2026-08-11T02:22:19Z","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/2608.09310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Building upon our previous studies on nonlinear variable-length pendulum systems, we investigate the Swinging Atwood Machine with a massive string. In contrast to the classical model, string inertia introduces a configuration-dependent moment of inertia, leading to a modified Hamiltonian structure and substantially richer dynamics.\n  To uncover the global organization of the phase space, we combine Poincar\\'e sections, bifurcation diagrams, and Lyapunov exponent maps with our recently developed numerical framework, ,,Lyapunov Refined Maps\". This approach provides a unified visualization of per","authors_text":"Jakub Bembenek, Wojciech Szumi\\'nski","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-08-10T08:54:42Z","title":"Dynamics and non-integrability of the Swinging Atwood Machine with a massive string: chaos, periodic orbits and resonance structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.09310","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":"sha256:917433365b5a238de69b6355bf06ff44279fa383362a794a9d80f574aea85d40","target":"record","created_at":"2026-08-11T02:22:19Z","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":"1c2a370c4c9f454db48ab71ff7dc68cf47ddd94a869f2ed922a6157942bcd9bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2026-08-10T08:54:42Z","title_canon_sha256":"8bafc3584c0aca4c30d3c069921ff9d9fa4e5ebeafe65e7fe6da446649fbda0d"},"schema_version":"1.0","source":{"id":"2608.09310","kind":"arxiv","version":1}},"canonical_sha256":"21a6100e19663e9eea56b1d59f199cca5bfb153fefc71ea1d641dfe86e625ca9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21a6100e19663e9eea56b1d59f199cca5bfb153fefc71ea1d641dfe86e625ca9","first_computed_at":"2026-08-11T02:22:19.181872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T02:22:19.181872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dp9OsU9eEloQKoW6c80Di9ikoH5eQJ70jNZUS5F+hPeh4Hx2SKB/3VblO1GUARlRdUWws+qlXGCENguL19bRBA==","signature_status":"signed_v1","signed_at":"2026-08-11T02:22:19.183467Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.09310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:917433365b5a238de69b6355bf06ff44279fa383362a794a9d80f574aea85d40","sha256:584796f41be3f07f5170f073258d398c0dfbd43a486535613aaaffce964f3a0b"],"state_sha256":"0c3bf2cc23ece64fefca137a179fedc611e1bda1063a296f7af47ad050d725be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"id9CrvBZC/whONyrgPlviKWdosnjrxLmOniozsNSXMBiTvFLt79LkP+16zv/w4oX9bV2MYXUFmo5eYXKsI41Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T14:11:06.124934Z","bundle_sha256":"fa929c61ee8da8d807b726ca89cbaa41affdbe79cc8ce2f6647b09bfa825f74b"}}