{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:D5LB72SFU645LNIW5QI2THSPEH","short_pith_number":"pith:D5LB72SF","canonical_record":{"source":{"id":"2010.09636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-10-19T16:24:44Z","cross_cats_sorted":[],"title_canon_sha256":"bd00d85b7dc9f448a8ad1e109156f6593f8d2f826294b24604ea321f5621fb9d","abstract_canon_sha256":"d31b08bd9764e28d1482c8d60823cf61f46afbf2c204c042abd25d35525ac814"},"schema_version":"1.0"},"canonical_sha256":"1f561fea45a7b9d5b516ec11a99e4f21c6a2e5aa7cf75ba0bc7bd229a76402a0","source":{"kind":"arxiv","id":"2010.09636","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09636","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09636v1","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09636","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"D5LB72SFU645","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_16","alias_value":"D5LB72SFU645LNIW","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_8","alias_value":"D5LB72SF","created_at":"2026-07-05T01:44:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:D5LB72SFU645LNIW5QI2THSPEH","target":"record","payload":{"canonical_record":{"source":{"id":"2010.09636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-10-19T16:24:44Z","cross_cats_sorted":[],"title_canon_sha256":"bd00d85b7dc9f448a8ad1e109156f6593f8d2f826294b24604ea321f5621fb9d","abstract_canon_sha256":"d31b08bd9764e28d1482c8d60823cf61f46afbf2c204c042abd25d35525ac814"},"schema_version":"1.0"},"canonical_sha256":"1f561fea45a7b9d5b516ec11a99e4f21c6a2e5aa7cf75ba0bc7bd229a76402a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:44:06.169530Z","signature_b64":"4+0TbCVIf7p5UVeLr00FLtUhcsMqALrMfS33jkoqS0XGMAQ3El1MFZ6KJ0UGhvL+CFUdqFjUCT0HB9jr3aoJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f561fea45a7b9d5b516ec11a99e4f21c6a2e5aa7cf75ba0bc7bd229a76402a0","last_reissued_at":"2026-07-05T01:44:06.169120Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:44:06.169120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.09636","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":"2026-07-05T01:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WioSQfGRU9Yb9+EqufIlpBryvQRg6fb6ebkzZyyqbDRA3CFBQoQ6PpP6stPHJ3wCHf+OC7gXqKv2V/XY9KMPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:25:13.082720Z"},"content_sha256":"2701842bf707195187a465307913c8e558370ef65469a927d352729d8f87a6da","schema_version":"1.0","event_id":"sha256:2701842bf707195187a465307913c8e558370ef65469a927d352729d8f87a6da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:D5LB72SFU645LNIW5QI2THSPEH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A General, Implicit, Large-Strain FE$^2$ Framework for the Simulation of Dynamic Problems on Two Scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Daniel Balzani, Erik Tamsen","submitted_at":"2020-10-19T16:24:44Z","abstract_excerpt":"In this paper we present a fully-coupled, two-scale homogenization method for dynamic loading in the spirit of FE$^2$ methods. The framework considers the balance of linear momentum including inertia at the microscale to capture possible dynamic effects arising from micro heterogeneities. A finite-strain formulation is adapted to account for geometrical nonlinearities enabling the study of e.g. plasticity or fiber pullout, which may be associated with large deformations. A consistent kinematic scale link is established as displacement constraint on the whole representative volume element. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09636","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/2010.09636/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":"2026-07-05T01:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wa4eVZLn5rKtFBoX8u8UeZ/+LVIZDSruQdBplXxqDUlebQu8vT/EXmD3LUigrY5LDabL/i6T+VcJjxchKuksDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:25:13.083095Z"},"content_sha256":"d11b15a89df25f5b55617c3600676b19b044b1418f7a1ffc7720d74fecc0e1fc","schema_version":"1.0","event_id":"sha256:d11b15a89df25f5b55617c3600676b19b044b1418f7a1ffc7720d74fecc0e1fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5LB72SFU645LNIW5QI2THSPEH/bundle.json","state_url":"https://pith.science/pith/D5LB72SFU645LNIW5QI2THSPEH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5LB72SFU645LNIW5QI2THSPEH/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":"2026-08-01T08:25:13Z","links":{"resolver":"https://pith.science/pith/D5LB72SFU645LNIW5QI2THSPEH","bundle":"https://pith.science/pith/D5LB72SFU645LNIW5QI2THSPEH/bundle.json","state":"https://pith.science/pith/D5LB72SFU645LNIW5QI2THSPEH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5LB72SFU645LNIW5QI2THSPEH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:D5LB72SFU645LNIW5QI2THSPEH","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":"d31b08bd9764e28d1482c8d60823cf61f46afbf2c204c042abd25d35525ac814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-10-19T16:24:44Z","title_canon_sha256":"bd00d85b7dc9f448a8ad1e109156f6593f8d2f826294b24604ea321f5621fb9d"},"schema_version":"1.0","source":{"id":"2010.09636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09636","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09636v1","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09636","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"D5LB72SFU645","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_16","alias_value":"D5LB72SFU645LNIW","created_at":"2026-07-05T01:44:06Z"},{"alias_kind":"pith_short_8","alias_value":"D5LB72SF","created_at":"2026-07-05T01:44:06Z"}],"graph_snapshots":[{"event_id":"sha256:d11b15a89df25f5b55617c3600676b19b044b1418f7a1ffc7720d74fecc0e1fc","target":"graph","created_at":"2026-07-05T01:44:06Z","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/2010.09636/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we present a fully-coupled, two-scale homogenization method for dynamic loading in the spirit of FE$^2$ methods. The framework considers the balance of linear momentum including inertia at the microscale to capture possible dynamic effects arising from micro heterogeneities. A finite-strain formulation is adapted to account for geometrical nonlinearities enabling the study of e.g. plasticity or fiber pullout, which may be associated with large deformations. A consistent kinematic scale link is established as displacement constraint on the whole representative volume element. The ","authors_text":"Daniel Balzani, Erik Tamsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-10-19T16:24:44Z","title":"A General, Implicit, Large-Strain FE$^2$ Framework for the Simulation of Dynamic Problems on Two Scales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09636","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":"sha256:2701842bf707195187a465307913c8e558370ef65469a927d352729d8f87a6da","target":"record","created_at":"2026-07-05T01:44:06Z","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":"d31b08bd9764e28d1482c8d60823cf61f46afbf2c204c042abd25d35525ac814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-10-19T16:24:44Z","title_canon_sha256":"bd00d85b7dc9f448a8ad1e109156f6593f8d2f826294b24604ea321f5621fb9d"},"schema_version":"1.0","source":{"id":"2010.09636","kind":"arxiv","version":1}},"canonical_sha256":"1f561fea45a7b9d5b516ec11a99e4f21c6a2e5aa7cf75ba0bc7bd229a76402a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f561fea45a7b9d5b516ec11a99e4f21c6a2e5aa7cf75ba0bc7bd229a76402a0","first_computed_at":"2026-07-05T01:44:06.169120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:44:06.169120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+0TbCVIf7p5UVeLr00FLtUhcsMqALrMfS33jkoqS0XGMAQ3El1MFZ6KJ0UGhvL+CFUdqFjUCT0HB9jr3aoJCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:44:06.169530Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.09636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2701842bf707195187a465307913c8e558370ef65469a927d352729d8f87a6da","sha256:d11b15a89df25f5b55617c3600676b19b044b1418f7a1ffc7720d74fecc0e1fc"],"state_sha256":"e20117783e587aa9e6852bde72ddbbeceb9c0d230373cb0d39875784a6492633"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stXBYdmkGM+ufPsJagNnh3d/gYUNFWmWhMYrtEtw0BAqc4jVzrAoW1/rdLjMeY//0fOcv9xlQmicQd/+rU2HBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T08:25:13.086011Z","bundle_sha256":"0da731d4459161268b7f52803b6b036ca32da3120ec6df522b19c8cc9f16e2b4"}}