{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AMSQCQTSAGN4X24WIGSU2J4PRC","short_pith_number":"pith:AMSQCQTS","canonical_record":{"source":{"id":"1104.1774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-04-10T14:56:44Z","cross_cats_sorted":[],"title_canon_sha256":"122d804f664c6f856463672d3ff2aecd85fb1695c3084a260e30120b0f5f8e48","abstract_canon_sha256":"758c5d79bd86ba7f6d2e8057d93dcc3600265058236425678b2763868cb9abd3"},"schema_version":"1.0"},"canonical_sha256":"0325014272019bcbeb9641a54d278f88be59510c30c9b6f7361cab6a62781cb9","source":{"kind":"arxiv","id":"1104.1774","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1774","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1774v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1774","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"AMSQCQTSAGN4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AMSQCQTSAGN4X24W","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AMSQCQTS","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AMSQCQTSAGN4X24WIGSU2J4PRC","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-04-10T14:56:44Z","cross_cats_sorted":[],"title_canon_sha256":"122d804f664c6f856463672d3ff2aecd85fb1695c3084a260e30120b0f5f8e48","abstract_canon_sha256":"758c5d79bd86ba7f6d2e8057d93dcc3600265058236425678b2763868cb9abd3"},"schema_version":"1.0"},"canonical_sha256":"0325014272019bcbeb9641a54d278f88be59510c30c9b6f7361cab6a62781cb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.234680Z","signature_b64":"LVXdv03LomS4wnr17T0NzDq+JCF4UpZhrR9t8JA2cDb2ES/nG2jLjb0KIMXUYT2eSSituOpwHW1qwb7uvGIqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0325014272019bcbeb9641a54d278f88be59510c30c9b6f7361cab6a62781cb9","last_reissued_at":"2026-05-18T04:24:43.234124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.234124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1774","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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQep3KiOX9sXH4sDJ3ma/DDF2Ir7tRoc1YZkwME+3TEUbj3Ox+iYDSwX2kz5sYzCXt+NtXYp+vViE4f4+I0FDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:35.848160Z"},"content_sha256":"84f864173ed74239393ccb5ec675e4fca0da488264b3e8ea5df653d015333751","schema_version":"1.0","event_id":"sha256:84f864173ed74239393ccb5ec675e4fca0da488264b3e8ea5df653d015333751"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AMSQCQTSAGN4X24WIGSU2J4PRC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Christoph Ortner, Mitchell Luskin","submitted_at":"2011-04-10T14:56:44Z","abstract_excerpt":"Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy. They are also the only known pointwise consistent methods for coupling a general atomistic model to a finite element continuum model. However, the development of efficient and reliable iterative solution methods for the force-based approximation presents a challenge due to the non-symmetric and indefinite structure of the linearized force-based quasicontinuum approximation, as well as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1774","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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H38/zqwe/e1n+hnIE5kQU0M6VDu4YwR1GeEkVm0X5c3TLS8CBJ3mPm9tESXm4bPcpxuj2sAABBqzRoDyV1zaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:35.848508Z"},"content_sha256":"b9288137f9421e247dbfcae7c0a3eb1dfd176050f149e777fa887169b493e652","schema_version":"1.0","event_id":"sha256:b9288137f9421e247dbfcae7c0a3eb1dfd176050f149e777fa887169b493e652"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/bundle.json","state_url":"https://pith.science/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/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":"2026-06-02T11:23:35Z","links":{"resolver":"https://pith.science/pith/AMSQCQTSAGN4X24WIGSU2J4PRC","bundle":"https://pith.science/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/bundle.json","state":"https://pith.science/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMSQCQTSAGN4X24WIGSU2J4PRC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AMSQCQTSAGN4X24WIGSU2J4PRC","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":"758c5d79bd86ba7f6d2e8057d93dcc3600265058236425678b2763868cb9abd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-04-10T14:56:44Z","title_canon_sha256":"122d804f664c6f856463672d3ff2aecd85fb1695c3084a260e30120b0f5f8e48"},"schema_version":"1.0","source":{"id":"1104.1774","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1774","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1774v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1774","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"AMSQCQTSAGN4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AMSQCQTSAGN4X24W","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AMSQCQTS","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b9288137f9421e247dbfcae7c0a3eb1dfd176050f149e777fa887169b493e652","target":"graph","created_at":"2026-05-18T04:24:43Z","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":"Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy. They are also the only known pointwise consistent methods for coupling a general atomistic model to a finite element continuum model. However, the development of efficient and reliable iterative solution methods for the force-based approximation presents a challenge due to the non-symmetric and indefinite structure of the linearized force-based quasicontinuum approximation, as well as ","authors_text":"Christoph Ortner, Mitchell Luskin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-04-10T14:56:44Z","title":"Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1774","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":"sha256:84f864173ed74239393ccb5ec675e4fca0da488264b3e8ea5df653d015333751","target":"record","created_at":"2026-05-18T04:24:43Z","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":"758c5d79bd86ba7f6d2e8057d93dcc3600265058236425678b2763868cb9abd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-04-10T14:56:44Z","title_canon_sha256":"122d804f664c6f856463672d3ff2aecd85fb1695c3084a260e30120b0f5f8e48"},"schema_version":"1.0","source":{"id":"1104.1774","kind":"arxiv","version":1}},"canonical_sha256":"0325014272019bcbeb9641a54d278f88be59510c30c9b6f7361cab6a62781cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0325014272019bcbeb9641a54d278f88be59510c30c9b6f7361cab6a62781cb9","first_computed_at":"2026-05-18T04:24:43.234124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:43.234124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LVXdv03LomS4wnr17T0NzDq+JCF4UpZhrR9t8JA2cDb2ES/nG2jLjb0KIMXUYT2eSSituOpwHW1qwb7uvGIqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:43.234680Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1774","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84f864173ed74239393ccb5ec675e4fca0da488264b3e8ea5df653d015333751","sha256:b9288137f9421e247dbfcae7c0a3eb1dfd176050f149e777fa887169b493e652"],"state_sha256":"d5fb51b114cd49b2b17dcbf9edeb39d656dea261ec261d8f04a42a99a6f0ac36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jOPXY1eztWvZnU/typQshCLlYJF9JMLAJwvnHu+NNhmPUYnMRvL41m0ha5P1+I7ZuvTmxN7NMCMhZ0CuhKhTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:23:35.850282Z","bundle_sha256":"1bacff3df433ee4d17ff9228d5e981cf7a732593a6f76338acd52519c9a94115"}}