{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MUGVB5WTYQH7YZZAMWI4UYCLM3","short_pith_number":"pith:MUGVB5WT","canonical_record":{"source":{"id":"1404.0776","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-03T06:43:52Z","cross_cats_sorted":[],"title_canon_sha256":"de6f62bbd05387c015c7f4f0d5e3953af03a84c4bd3c31c76b1195227d9adc85","abstract_canon_sha256":"d7b3020b6a380be8ba60c1432f36118b2b26a4d46dee7b3ac99ab90ee438903b"},"schema_version":"1.0"},"canonical_sha256":"650d50f6d3c40ffc67206591ca604b66d0009bcc47a0fa67697a2afa6f1ac7e3","source":{"kind":"arxiv","id":"1404.0776","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0776","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0776v3","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0776","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVB5WTYQH7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVB5WTYQH7YZZA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVB5WT","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MUGVB5WTYQH7YZZAMWI4UYCLM3","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0776","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-03T06:43:52Z","cross_cats_sorted":[],"title_canon_sha256":"de6f62bbd05387c015c7f4f0d5e3953af03a84c4bd3c31c76b1195227d9adc85","abstract_canon_sha256":"d7b3020b6a380be8ba60c1432f36118b2b26a4d46dee7b3ac99ab90ee438903b"},"schema_version":"1.0"},"canonical_sha256":"650d50f6d3c40ffc67206591ca604b66d0009bcc47a0fa67697a2afa6f1ac7e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:52.623126Z","signature_b64":"F7wGXTH/0zm2y1riEfmWAiQxgNlgtJQ9jDZxQ1CwmtQwcsowpA0SFIlAVMCskZd3RKfSMl1HfB+LiaWEcF0OAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650d50f6d3c40ffc67206591ca604b66d0009bcc47a0fa67697a2afa6f1ac7e3","last_reissued_at":"2026-05-18T00:50:52.622711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:52.622711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0776","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qEV33xsm/Dq2O4IkT1qTC2szDi7p+P5YxsnZzZD/mj+ThGX/t8ivLSF7Mr4hYvbXzp8Sb0SW/WfHsvndlPbuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:57:17.648285Z"},"content_sha256":"ef5025a62728fb2c342e1c25346990ec68e175277040ba0d8a2e4f4a2283175e","schema_version":"1.0","event_id":"sha256:ef5025a62728fb2c342e1c25346990ec68e175277040ba0d8a2e4f4a2283175e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MUGVB5WTYQH7YZZAMWI4UYCLM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Strokes for Driftless Swimmers: A General Geometric Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alexandre Munnier (CORIDA, CORIDA), EDP), Laetitia Giraldi (JAD, McTAO), Thomas Chambrion (EDP, UCA","submitted_at":"2014-04-03T06:43:52Z","abstract_excerpt":"Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which the controls are the deformations of the swimmer. The aim of this paper is to present a unified geometric approach for the optimization of the body deformations of so-called driftless swimmers. The class of driftless swimmers includes, among other, swimmers in a 3D Stokes flow (case of micro-swimmers in viscous fluids) or swimmers in a 2D or 3D potential flow. A general framework is introduced, allowing the complete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0776","kind":"arxiv","version":3},"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":"2026-05-18T00:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIkbbiOGwcmXKR5ywrnefhuuxHVTx6H4wm9qHijZeojfmmV/1sIEAeat0rKgegqdPxkqpLYzCR72Fq/Y/hQsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:57:17.648965Z"},"content_sha256":"06b39a891fe8212004c168726ce5db415f4e625326504f1d3d8adb17417726e6","schema_version":"1.0","event_id":"sha256:06b39a891fe8212004c168726ce5db415f4e625326504f1d3d8adb17417726e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/bundle.json","state_url":"https://pith.science/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/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":"2026-05-31T10:57:17Z","links":{"resolver":"https://pith.science/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3","bundle":"https://pith.science/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/bundle.json","state":"https://pith.science/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUGVB5WTYQH7YZZAMWI4UYCLM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MUGVB5WTYQH7YZZAMWI4UYCLM3","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":"d7b3020b6a380be8ba60c1432f36118b2b26a4d46dee7b3ac99ab90ee438903b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-03T06:43:52Z","title_canon_sha256":"de6f62bbd05387c015c7f4f0d5e3953af03a84c4bd3c31c76b1195227d9adc85"},"schema_version":"1.0","source":{"id":"1404.0776","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0776","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0776v3","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0776","created_at":"2026-05-18T00:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVB5WTYQH7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVB5WTYQH7YZZA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVB5WT","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:06b39a891fe8212004c168726ce5db415f4e625326504f1d3d8adb17417726e6","target":"graph","created_at":"2026-05-18T00:50:52Z","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":"Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which the controls are the deformations of the swimmer. The aim of this paper is to present a unified geometric approach for the optimization of the body deformations of so-called driftless swimmers. The class of driftless swimmers includes, among other, swimmers in a 3D Stokes flow (case of micro-swimmers in viscous fluids) or swimmers in a 2D or 3D potential flow. A general framework is introduced, allowing the complete","authors_text":"Alexandre Munnier (CORIDA, CORIDA), EDP), Laetitia Giraldi (JAD, McTAO), Thomas Chambrion (EDP, UCA","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-03T06:43:52Z","title":"Optimal Strokes for Driftless Swimmers: A General Geometric Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0776","kind":"arxiv","version":3},"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:ef5025a62728fb2c342e1c25346990ec68e175277040ba0d8a2e4f4a2283175e","target":"record","created_at":"2026-05-18T00:50:52Z","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":"d7b3020b6a380be8ba60c1432f36118b2b26a4d46dee7b3ac99ab90ee438903b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-03T06:43:52Z","title_canon_sha256":"de6f62bbd05387c015c7f4f0d5e3953af03a84c4bd3c31c76b1195227d9adc85"},"schema_version":"1.0","source":{"id":"1404.0776","kind":"arxiv","version":3}},"canonical_sha256":"650d50f6d3c40ffc67206591ca604b66d0009bcc47a0fa67697a2afa6f1ac7e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650d50f6d3c40ffc67206591ca604b66d0009bcc47a0fa67697a2afa6f1ac7e3","first_computed_at":"2026-05-18T00:50:52.622711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:52.622711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F7wGXTH/0zm2y1riEfmWAiQxgNlgtJQ9jDZxQ1CwmtQwcsowpA0SFIlAVMCskZd3RKfSMl1HfB+LiaWEcF0OAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:52.623126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0776","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef5025a62728fb2c342e1c25346990ec68e175277040ba0d8a2e4f4a2283175e","sha256:06b39a891fe8212004c168726ce5db415f4e625326504f1d3d8adb17417726e6"],"state_sha256":"f93d05469978f867c500bee1a269260172abd797dc8c92558caa8c319acfdcce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lJ4TYuM13kKTtHoh1h7ZU2dh4A5facx8WWAzkP8Gh9u2+IUOJXKJC78EWCK3EFgjmptcDXClz//pdCd7Re/vDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:57:17.652553Z","bundle_sha256":"b5edd22046d6a87b45b5ce55c1fd22dccdf54d6218616e7402888ef89b986a2e"}}