{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SDIHMSVMLVNGBXSJJARWVOAND2","short_pith_number":"pith:SDIHMSVM","canonical_record":{"source":{"id":"1103.5163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-26T20:41:35Z","cross_cats_sorted":["cs.SY","physics.bio-ph"],"title_canon_sha256":"91128bd6420c8a20b3baa03e1237f07f4ef0c3d2e02ee02f056de101e259e100","abstract_canon_sha256":"25be04e92c3e9c973e6605f0a5e12b8fc2b4262f0392b9171d6ef37468eb58a8"},"schema_version":"1.0"},"canonical_sha256":"90d0764aac5d5a60de4948236ab80d1ebf11abbacf7447089a8fcfd9d5a73add","source":{"kind":"arxiv","id":"1103.5163","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5163","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5163v1","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5163","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"pith_short_12","alias_value":"SDIHMSVMLVNG","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SDIHMSVMLVNGBXSJ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SDIHMSVM","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SDIHMSVMLVNGBXSJJARWVOAND2","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-26T20:41:35Z","cross_cats_sorted":["cs.SY","physics.bio-ph"],"title_canon_sha256":"91128bd6420c8a20b3baa03e1237f07f4ef0c3d2e02ee02f056de101e259e100","abstract_canon_sha256":"25be04e92c3e9c973e6605f0a5e12b8fc2b4262f0392b9171d6ef37468eb58a8"},"schema_version":"1.0"},"canonical_sha256":"90d0764aac5d5a60de4948236ab80d1ebf11abbacf7447089a8fcfd9d5a73add","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:37.520268Z","signature_b64":"LzijE77q75Ri6lthO8xnex5LscIUeyhDMbFTjAP4KNSXrXU+m4RWbAlF8nOuCzNHPQdUvUXfMHqJrYJsUc+eDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90d0764aac5d5a60de4948236ab80d1ebf11abbacf7447089a8fcfd9d5a73add","last_reissued_at":"2026-05-18T04:25:37.519833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:37.519833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5163","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":"2026-05-18T04:25:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ARMQq8WJeEHOOUvhuEc9KybIGw/+qTLuvQpQYMhLwkv1Z6SeWCD1Rt5LUy1x6E8nTlxvDzdxDsEUaZY36osJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:58:14.119578Z"},"content_sha256":"1a059047baf288ecff1110b03a268d346774295dbcc5847cc0d1e124ad580dc6","schema_version":"1.0","event_id":"sha256:1a059047baf288ecff1110b03a268d346774295dbcc5847cc0d1e124ad580dc6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SDIHMSVMLVNGBXSJJARWVOAND2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generic Controllability of 3D Swimmers in a Perfect Fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","physics.bio-ph"],"primary_cat":"math.OC","authors_text":"Alexandre Munnier (INRIA Lorraine / IECN / MMAS, Iecn), Thomas Chambrion (INRIA Lorraine / IECN / MMAS","submitted_at":"2011-03-26T20:41:35Z","abstract_excerpt":"We address the problem of controlling a dynamical system governing the motion of a 3D weighted shape changing body swimming in a perfect fluid. The rigid displacement of the swimmer results from the exchange of momentum between prescribed shape changes and the flow, the total impulse of the fluid-swimmer system being constant for all times. We prove the following tracking results: (i) Synchronized swimming: Maybe up to an arbitrarily small change of its density, any swimmer can approximately follow any given trajectory while, in addition, undergoing approximately any given shape changes. In th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5163","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":"2026-05-18T04:25:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2qIvgqUF85SHKrLPS+6bzXHpqs8VTXvgjcX25d84itDzQOtfYJ3GkZ5zk9Hl3sGpvxd5+AjyWTOujiLx2sgfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:58:14.120300Z"},"content_sha256":"7aeb34cd3ca9375c3df06d4011e0913eacfaac57deb9c5dbd283b3f97abf8133","schema_version":"1.0","event_id":"sha256:7aeb34cd3ca9375c3df06d4011e0913eacfaac57deb9c5dbd283b3f97abf8133"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDIHMSVMLVNGBXSJJARWVOAND2/bundle.json","state_url":"https://pith.science/pith/SDIHMSVMLVNGBXSJJARWVOAND2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDIHMSVMLVNGBXSJJARWVOAND2/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":"2026-06-10T22:58:14Z","links":{"resolver":"https://pith.science/pith/SDIHMSVMLVNGBXSJJARWVOAND2","bundle":"https://pith.science/pith/SDIHMSVMLVNGBXSJJARWVOAND2/bundle.json","state":"https://pith.science/pith/SDIHMSVMLVNGBXSJJARWVOAND2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDIHMSVMLVNGBXSJJARWVOAND2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SDIHMSVMLVNGBXSJJARWVOAND2","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":"25be04e92c3e9c973e6605f0a5e12b8fc2b4262f0392b9171d6ef37468eb58a8","cross_cats_sorted":["cs.SY","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-26T20:41:35Z","title_canon_sha256":"91128bd6420c8a20b3baa03e1237f07f4ef0c3d2e02ee02f056de101e259e100"},"schema_version":"1.0","source":{"id":"1103.5163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5163","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5163v1","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5163","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"pith_short_12","alias_value":"SDIHMSVMLVNG","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SDIHMSVMLVNGBXSJ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SDIHMSVM","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:7aeb34cd3ca9375c3df06d4011e0913eacfaac57deb9c5dbd283b3f97abf8133","target":"graph","created_at":"2026-05-18T04:25:37Z","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 address the problem of controlling a dynamical system governing the motion of a 3D weighted shape changing body swimming in a perfect fluid. The rigid displacement of the swimmer results from the exchange of momentum between prescribed shape changes and the flow, the total impulse of the fluid-swimmer system being constant for all times. We prove the following tracking results: (i) Synchronized swimming: Maybe up to an arbitrarily small change of its density, any swimmer can approximately follow any given trajectory while, in addition, undergoing approximately any given shape changes. In th","authors_text":"Alexandre Munnier (INRIA Lorraine / IECN / MMAS, Iecn), Thomas Chambrion (INRIA Lorraine / IECN / MMAS","cross_cats":["cs.SY","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-26T20:41:35Z","title":"Generic Controllability of 3D Swimmers in a Perfect Fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5163","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":"sha256:1a059047baf288ecff1110b03a268d346774295dbcc5847cc0d1e124ad580dc6","target":"record","created_at":"2026-05-18T04:25:37Z","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":"25be04e92c3e9c973e6605f0a5e12b8fc2b4262f0392b9171d6ef37468eb58a8","cross_cats_sorted":["cs.SY","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-26T20:41:35Z","title_canon_sha256":"91128bd6420c8a20b3baa03e1237f07f4ef0c3d2e02ee02f056de101e259e100"},"schema_version":"1.0","source":{"id":"1103.5163","kind":"arxiv","version":1}},"canonical_sha256":"90d0764aac5d5a60de4948236ab80d1ebf11abbacf7447089a8fcfd9d5a73add","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d0764aac5d5a60de4948236ab80d1ebf11abbacf7447089a8fcfd9d5a73add","first_computed_at":"2026-05-18T04:25:37.519833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:37.519833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LzijE77q75Ri6lthO8xnex5LscIUeyhDMbFTjAP4KNSXrXU+m4RWbAlF8nOuCzNHPQdUvUXfMHqJrYJsUc+eDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:37.520268Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a059047baf288ecff1110b03a268d346774295dbcc5847cc0d1e124ad580dc6","sha256:7aeb34cd3ca9375c3df06d4011e0913eacfaac57deb9c5dbd283b3f97abf8133"],"state_sha256":"7ea06f6fc52a8d1cee9265759f025cb363ebf1378cdee57d191680a8ebffa1db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1iISkBHib67G+TF8OHRM/w+BmxFQIjOIwik6vUO5p7NUcOGpKI+XZZtEZLD8AUur/ir9OKiRZeWz9ecZH6RvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:58:14.124386Z","bundle_sha256":"77e9c1ee2527a2877777549d6d96c32113f66f43e24f0868777a9b4bb891bad0"}}