{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GGAJIKWIBJ3JRE3ITVUER4LFY3","short_pith_number":"pith:GGAJIKWI","canonical_record":{"source":{"id":"1812.09011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T09:25:59Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"ec043f685b0342342e3ac82f4061a6d017464c3a77324a0c6acf0e7efca4b0f7","abstract_canon_sha256":"c942f814cd6304c1c28e29e5b2e3ce0ad2e4151717aae9eb60a22e7f0870ff51"},"schema_version":"1.0"},"canonical_sha256":"3180942ac80a769893689d6848f165c6da752dfb201d95425c5bf653da51d6f5","source":{"kind":"arxiv","id":"1812.09011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09011","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09011v1","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09011","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"GGAJIKWIBJ3J","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GGAJIKWIBJ3JRE3I","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GGAJIKWI","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GGAJIKWIBJ3JRE3ITVUER4LFY3","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T09:25:59Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"ec043f685b0342342e3ac82f4061a6d017464c3a77324a0c6acf0e7efca4b0f7","abstract_canon_sha256":"c942f814cd6304c1c28e29e5b2e3ce0ad2e4151717aae9eb60a22e7f0870ff51"},"schema_version":"1.0"},"canonical_sha256":"3180942ac80a769893689d6848f165c6da752dfb201d95425c5bf653da51d6f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:45.645576Z","signature_b64":"3+Yr+5c3fyKrJY3SNx2UDDd5F61MnBggDD2+B18XbKduWlqd8Bq0iu66gLw8RwJwXvR1yFo7iV1AQ1UpWbNQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3180942ac80a769893689d6848f165c6da752dfb201d95425c5bf653da51d6f5","last_reissued_at":"2026-05-17T23:57:45.645059Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:45.645059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09011","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":"2026-05-17T23:57:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PptONai99p6hJrH34WCIy0shcb7FFOLntS7Eu4jhJ/4+vB8z/FfP01SRSVOiIY8fZZvad4Yn4vZyknpR8SGvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:01:02.952698Z"},"content_sha256":"596400dde53cb76f444cf6f7833ee510cacf1e094a67946b654d33a39658eea9","schema_version":"1.0","event_id":"sha256:596400dde53cb76f444cf6f7833ee510cacf1e094a67946b654d33a39658eea9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GGAJIKWIBJ3JRE3ITVUER4LFY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State space geometry of the chaotic pilot-wave hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Marc Fleury, Nazmi Burak Budanur","submitted_at":"2018-12-21T09:25:59Z","abstract_excerpt":"We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of this system, which allows for the straightforward application of dynamical systems theory tools. As an illustration of the utility of the symmetry reduction, we apply it to a model of the pilot-wave system with a central harmonic force. We begin our analysis by identifying local bifurcations and the onset of chaos. We then describe the emergence of chaotic regions and their merging bifurcations, which lead to the form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09011","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":"2026-05-17T23:57:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O3g5vr5H4W3HnHu2NPP70YpuEO8pfeWBk1lPpidfvurGYI8MyJVaSWxFCCzwkC5qcJ4qYfkuE+6Fuo7vKN9LBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:01:02.953036Z"},"content_sha256":"b9c582966e63a86e67aae58133636b1160b6e81416826bfd01002b330cf66a94","schema_version":"1.0","event_id":"sha256:b9c582966e63a86e67aae58133636b1160b6e81416826bfd01002b330cf66a94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/bundle.json","state_url":"https://pith.science/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/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":"2026-06-26T22:01:02Z","links":{"resolver":"https://pith.science/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3","bundle":"https://pith.science/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/bundle.json","state":"https://pith.science/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGAJIKWIBJ3JRE3ITVUER4LFY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GGAJIKWIBJ3JRE3ITVUER4LFY3","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":"c942f814cd6304c1c28e29e5b2e3ce0ad2e4151717aae9eb60a22e7f0870ff51","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T09:25:59Z","title_canon_sha256":"ec043f685b0342342e3ac82f4061a6d017464c3a77324a0c6acf0e7efca4b0f7"},"schema_version":"1.0","source":{"id":"1812.09011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09011","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09011v1","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09011","created_at":"2026-05-17T23:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"GGAJIKWIBJ3J","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GGAJIKWIBJ3JRE3I","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GGAJIKWI","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:b9c582966e63a86e67aae58133636b1160b6e81416826bfd01002b330cf66a94","target":"graph","created_at":"2026-05-17T23:57:45Z","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":"We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of this system, which allows for the straightforward application of dynamical systems theory tools. As an illustration of the utility of the symmetry reduction, we apply it to a model of the pilot-wave system with a central harmonic force. We begin our analysis by identifying local bifurcations and the onset of chaos. We then describe the emergence of chaotic regions and their merging bifurcations, which lead to the form","authors_text":"Marc Fleury, Nazmi Burak Budanur","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T09:25:59Z","title":"State space geometry of the chaotic pilot-wave hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09011","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":"sha256:596400dde53cb76f444cf6f7833ee510cacf1e094a67946b654d33a39658eea9","target":"record","created_at":"2026-05-17T23:57:45Z","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":"c942f814cd6304c1c28e29e5b2e3ce0ad2e4151717aae9eb60a22e7f0870ff51","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T09:25:59Z","title_canon_sha256":"ec043f685b0342342e3ac82f4061a6d017464c3a77324a0c6acf0e7efca4b0f7"},"schema_version":"1.0","source":{"id":"1812.09011","kind":"arxiv","version":1}},"canonical_sha256":"3180942ac80a769893689d6848f165c6da752dfb201d95425c5bf653da51d6f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3180942ac80a769893689d6848f165c6da752dfb201d95425c5bf653da51d6f5","first_computed_at":"2026-05-17T23:57:45.645059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:45.645059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3+Yr+5c3fyKrJY3SNx2UDDd5F61MnBggDD2+B18XbKduWlqd8Bq0iu66gLw8RwJwXvR1yFo7iV1AQ1UpWbNQBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:45.645576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:596400dde53cb76f444cf6f7833ee510cacf1e094a67946b654d33a39658eea9","sha256:b9c582966e63a86e67aae58133636b1160b6e81416826bfd01002b330cf66a94"],"state_sha256":"d9b10ca437081869cc7218b3a8197ead26810b69ce33d6a70525e90d1f27d90a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4/XzZSKRU+pjv8w1vs5Zb3pO/nHreq9q7R5nMH/EaYs9K/vm8RQq5ARTto+QLDcs79D18qCkYb6Wq84GZOsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T22:01:02.954938Z","bundle_sha256":"d6c8cee50bcc86051a7afae197af38731730e00f8c25b155b1ff59a554fc4775"}}