{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YZXCY2P3VXT3ZO7FXFVYZSSSLY","short_pith_number":"pith:YZXCY2P3","canonical_record":{"source":{"id":"1403.5410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-21T10:11:16Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e76eca648060e52bbccc6213e4d0057e22b1187aa0963904516e0d9d59b34d81","abstract_canon_sha256":"db0e0fca5f203af5a38894b9269a5f98aa4a5bc6a025a7cc5ac977b8272f3b3c"},"schema_version":"1.0"},"canonical_sha256":"c66e2c69fbade7bcbbe5b96b8cca525e088347f00f31ea09b166a4528f0d2562","source":{"kind":"arxiv","id":"1403.5410","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5410","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5410v1","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5410","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"YZXCY2P3VXT3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YZXCY2P3VXT3ZO7F","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YZXCY2P3","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YZXCY2P3VXT3ZO7FXFVYZSSSLY","target":"record","payload":{"canonical_record":{"source":{"id":"1403.5410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-21T10:11:16Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e76eca648060e52bbccc6213e4d0057e22b1187aa0963904516e0d9d59b34d81","abstract_canon_sha256":"db0e0fca5f203af5a38894b9269a5f98aa4a5bc6a025a7cc5ac977b8272f3b3c"},"schema_version":"1.0"},"canonical_sha256":"c66e2c69fbade7bcbbe5b96b8cca525e088347f00f31ea09b166a4528f0d2562","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:52.686593Z","signature_b64":"+wlPG8hr9XT83rbZr9Boish25i9oTK/JTRyNZxBN7ASWKrP3EVBw7hFRP3adSx3Vm3/4GDXttP5DS7qiTi0hAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c66e2c69fbade7bcbbe5b96b8cca525e088347f00f31ea09b166a4528f0d2562","last_reissued_at":"2026-05-18T01:43:52.685859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:52.685859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.5410","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":"2026-05-18T01:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ow9e8/qcuBlOaMndCU5tL6YPhQVlRrsdQkfUoYwR64Zd9RsXUb+K69VAbN3HoZPHJcn4X6yx4EzdMlI+STdNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:53:19.530646Z"},"content_sha256":"dba9a51e235c82db9f2933b167c563a5697dc26997c992cafcdb057e5dd59794","schema_version":"1.0","event_id":"sha256:dba9a51e235c82db9f2933b167c563a5697dc26997c992cafcdb057e5dd59794"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YZXCY2P3VXT3ZO7FXFVYZSSSLY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multisymplectic Lie group variational integrator for a geometrically exact beam in R3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NA","authors_text":"Fran\\c{c}ois Demoures, Fran\\c{c}ois Gay-Balmaz, Marin Kobilarov, Tudor S. Ratiu","submitted_at":"2014-03-21T10:11:16Z","abstract_excerpt":"In this paper we develop, study, and test a Lie group multisymplectic integra- tor for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum map conservations associated to the temporal and spatial discrete evolutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5410","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":"2026-05-18T01:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffxKM1QLZAkK2Y6gxuArWcuPmTMUN/iXXA1s8NMBbpJCr0Lzf8bw3D5btxjEsTdYzhgiroCpHD6SKARVAtizAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:53:19.531653Z"},"content_sha256":"1755c43fe363f3725efd2741fd299a6b98592e094e6639ae7ef29840a2ae20df","schema_version":"1.0","event_id":"sha256:1755c43fe363f3725efd2741fd299a6b98592e094e6639ae7ef29840a2ae20df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/bundle.json","state_url":"https://pith.science/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/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":"2026-06-02T10:53:19Z","links":{"resolver":"https://pith.science/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY","bundle":"https://pith.science/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/bundle.json","state":"https://pith.science/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZXCY2P3VXT3ZO7FXFVYZSSSLY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YZXCY2P3VXT3ZO7FXFVYZSSSLY","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":"db0e0fca5f203af5a38894b9269a5f98aa4a5bc6a025a7cc5ac977b8272f3b3c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-21T10:11:16Z","title_canon_sha256":"e76eca648060e52bbccc6213e4d0057e22b1187aa0963904516e0d9d59b34d81"},"schema_version":"1.0","source":{"id":"1403.5410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5410","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5410v1","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5410","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"YZXCY2P3VXT3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YZXCY2P3VXT3ZO7F","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YZXCY2P3","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:1755c43fe363f3725efd2741fd299a6b98592e094e6639ae7ef29840a2ae20df","target":"graph","created_at":"2026-05-18T01:43:52Z","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":"In this paper we develop, study, and test a Lie group multisymplectic integra- tor for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum map conservations associated to the temporal and spatial discrete evolutions.","authors_text":"Fran\\c{c}ois Demoures, Fran\\c{c}ois Gay-Balmaz, Marin Kobilarov, Tudor S. Ratiu","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-21T10:11:16Z","title":"Multisymplectic Lie group variational integrator for a geometrically exact beam in R3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5410","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:dba9a51e235c82db9f2933b167c563a5697dc26997c992cafcdb057e5dd59794","target":"record","created_at":"2026-05-18T01:43:52Z","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":"db0e0fca5f203af5a38894b9269a5f98aa4a5bc6a025a7cc5ac977b8272f3b3c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-21T10:11:16Z","title_canon_sha256":"e76eca648060e52bbccc6213e4d0057e22b1187aa0963904516e0d9d59b34d81"},"schema_version":"1.0","source":{"id":"1403.5410","kind":"arxiv","version":1}},"canonical_sha256":"c66e2c69fbade7bcbbe5b96b8cca525e088347f00f31ea09b166a4528f0d2562","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c66e2c69fbade7bcbbe5b96b8cca525e088347f00f31ea09b166a4528f0d2562","first_computed_at":"2026-05-18T01:43:52.685859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:52.685859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+wlPG8hr9XT83rbZr9Boish25i9oTK/JTRyNZxBN7ASWKrP3EVBw7hFRP3adSx3Vm3/4GDXttP5DS7qiTi0hAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:52.686593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba9a51e235c82db9f2933b167c563a5697dc26997c992cafcdb057e5dd59794","sha256:1755c43fe363f3725efd2741fd299a6b98592e094e6639ae7ef29840a2ae20df"],"state_sha256":"787d847f40d222b6b978c20a7b92741f286557a771abdc67ac55fa18f191a402"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TvZa4/sprj84S2PhzsA7UbTAs4UrtGtw3THRFxJXpN63RP9GGKu9gHo36VL/RCyR5OPtz5Me8q6EgnRmM8WcCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:53:19.533808Z","bundle_sha256":"691adc5fc93fe6c0b99c24ebe7a4d6c9bdb01eaad1545ccc537ae0d3aec6a94a"}}