{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ORJDJJRH5ALD4EX4XP4NGZVHFP","short_pith_number":"pith:ORJDJJRH","canonical_record":{"source":{"id":"2104.09262","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-19T13:08:31Z","cross_cats_sorted":["cs.CE","cs.NA"],"title_canon_sha256":"7848cd17edd7cbaa199b666a8a38703fae31815f28c0d3d3b5aad53bbddc7bee","abstract_canon_sha256":"a5c069da54cec4d4948252992a4b5fa94b9ed3228eb0b2cfede027f8a19d1a56"},"schema_version":"1.0"},"canonical_sha256":"745234a627e8163e12fcbbf8d366a72bc105f49f3b587e4bbf58b293726bac23","source":{"kind":"arxiv","id":"2104.09262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.09262","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"arxiv_version","alias_value":"2104.09262v1","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.09262","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_12","alias_value":"ORJDJJRH5ALD","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_16","alias_value":"ORJDJJRH5ALD4EX4","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_8","alias_value":"ORJDJJRH","created_at":"2026-07-05T02:33:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ORJDJJRH5ALD4EX4XP4NGZVHFP","target":"record","payload":{"canonical_record":{"source":{"id":"2104.09262","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-19T13:08:31Z","cross_cats_sorted":["cs.CE","cs.NA"],"title_canon_sha256":"7848cd17edd7cbaa199b666a8a38703fae31815f28c0d3d3b5aad53bbddc7bee","abstract_canon_sha256":"a5c069da54cec4d4948252992a4b5fa94b9ed3228eb0b2cfede027f8a19d1a56"},"schema_version":"1.0"},"canonical_sha256":"745234a627e8163e12fcbbf8d366a72bc105f49f3b587e4bbf58b293726bac23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:33:11.253288Z","signature_b64":"qoDd+0ePMYWm+qJaLvQi/ziHcdouaeTj0vcnvDj/WHz1vcWCtNOphgFrkJrTfwud8mTu3SUfu7YVIHRilgjMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"745234a627e8163e12fcbbf8d366a72bc105f49f3b587e4bbf58b293726bac23","last_reissued_at":"2026-07-05T02:33:11.252901Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:33:11.252901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.09262","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":"2026-07-05T02:33:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xIT95BOV8VFnCcbSV2/DQLbK4xuOfsiA38A5jopF/0cKzo5wt3WCYCKq9/8n5tF7k9GOIbdTcDSJqSj5AL5XCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T13:57:54.704575Z"},"content_sha256":"f788947a9cd50de91b849ed38ab1b96e681ddcd46d458443e71de386d12e7b75","schema_version":"1.0","event_id":"sha256:f788947a9cd50de91b849ed38ab1b96e681ddcd46d458443e71de386d12e7b75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ORJDJJRH5ALD4EX4XP4NGZVHFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient formulation of a geometrically nonlinear beam element","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Emma La Malfa Ribolla, Martin Hor\\'ak, Milan Jir\\'asek","submitted_at":"2021-04-19T13:08:31Z","abstract_excerpt":"The paper presents a two-dimensional geometrically nonlinear formulation of a beam element that can accommodate arbitrarily large rotations of cross sections. The formulation is based on the integrated form of equilibrium equations, which are combined with the kinematic equations and generalized material equations, leading to a set of three first-order differential equations. These equations are then discretized by finite differences and the boundary value problem is converted into an initial value problem using a technique inspired by the shooting method. Accuracy of the numerical approximati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.09262","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/2104.09262/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":"2026-07-05T02:33:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qztc09xD06bKmZ11RtfkpfvEO5eqYYsVmK1kJpo7C3xV7F7x16OVdKGbPx7u7U03kVxAUr5jLNizcfW0/UieDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T13:57:54.704988Z"},"content_sha256":"e1aa66e015fae04d097d033877996c1f5ef6bdb4838bcfe238781b77111f4064","schema_version":"1.0","event_id":"sha256:e1aa66e015fae04d097d033877996c1f5ef6bdb4838bcfe238781b77111f4064"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/bundle.json","state_url":"https://pith.science/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/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":"2026-07-08T13:57:54Z","links":{"resolver":"https://pith.science/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP","bundle":"https://pith.science/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/bundle.json","state":"https://pith.science/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORJDJJRH5ALD4EX4XP4NGZVHFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ORJDJJRH5ALD4EX4XP4NGZVHFP","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":"a5c069da54cec4d4948252992a4b5fa94b9ed3228eb0b2cfede027f8a19d1a56","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-19T13:08:31Z","title_canon_sha256":"7848cd17edd7cbaa199b666a8a38703fae31815f28c0d3d3b5aad53bbddc7bee"},"schema_version":"1.0","source":{"id":"2104.09262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.09262","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"arxiv_version","alias_value":"2104.09262v1","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.09262","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_12","alias_value":"ORJDJJRH5ALD","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_16","alias_value":"ORJDJJRH5ALD4EX4","created_at":"2026-07-05T02:33:11Z"},{"alias_kind":"pith_short_8","alias_value":"ORJDJJRH","created_at":"2026-07-05T02:33:11Z"}],"graph_snapshots":[{"event_id":"sha256:e1aa66e015fae04d097d033877996c1f5ef6bdb4838bcfe238781b77111f4064","target":"graph","created_at":"2026-07-05T02:33:11Z","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/2104.09262/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper presents a two-dimensional geometrically nonlinear formulation of a beam element that can accommodate arbitrarily large rotations of cross sections. The formulation is based on the integrated form of equilibrium equations, which are combined with the kinematic equations and generalized material equations, leading to a set of three first-order differential equations. These equations are then discretized by finite differences and the boundary value problem is converted into an initial value problem using a technique inspired by the shooting method. Accuracy of the numerical approximati","authors_text":"Emma La Malfa Ribolla, Martin Hor\\'ak, Milan Jir\\'asek","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-19T13:08:31Z","title":"Efficient formulation of a geometrically nonlinear beam element"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.09262","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:f788947a9cd50de91b849ed38ab1b96e681ddcd46d458443e71de386d12e7b75","target":"record","created_at":"2026-07-05T02:33:11Z","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":"a5c069da54cec4d4948252992a4b5fa94b9ed3228eb0b2cfede027f8a19d1a56","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-19T13:08:31Z","title_canon_sha256":"7848cd17edd7cbaa199b666a8a38703fae31815f28c0d3d3b5aad53bbddc7bee"},"schema_version":"1.0","source":{"id":"2104.09262","kind":"arxiv","version":1}},"canonical_sha256":"745234a627e8163e12fcbbf8d366a72bc105f49f3b587e4bbf58b293726bac23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"745234a627e8163e12fcbbf8d366a72bc105f49f3b587e4bbf58b293726bac23","first_computed_at":"2026-07-05T02:33:11.252901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:33:11.252901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qoDd+0ePMYWm+qJaLvQi/ziHcdouaeTj0vcnvDj/WHz1vcWCtNOphgFrkJrTfwud8mTu3SUfu7YVIHRilgjMBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:33:11.253288Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.09262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f788947a9cd50de91b849ed38ab1b96e681ddcd46d458443e71de386d12e7b75","sha256:e1aa66e015fae04d097d033877996c1f5ef6bdb4838bcfe238781b77111f4064"],"state_sha256":"5dae151c78c36fa35e07fd342eaa9b572217c7c58d795b58871eb709e88c6d2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+kszbV/e6JNT4Iu27rWL5KFhwBMQJDAGJiO5NNPcIIlm3B0TeBKRRsIjOf5p/ltdPfoDPtNac7N8V2ZCR0ikBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T13:57:54.707481Z","bundle_sha256":"8f4331f9b0e38e43121c9227ba4e7b1ebe5c6fe45c0036858ed990dd4b7b449b"}}