{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AZR2VIXEHDRRN6PXCUVKTVFUQE","short_pith_number":"pith:AZR2VIXE","canonical_record":{"source":{"id":"1703.03001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-08T19:25:57Z","cross_cats_sorted":["cs.CE","nlin.CD","physics.comp-ph"],"title_canon_sha256":"b21728eb10fd76e2376d8595ce1355c2be0ca18e57677f6e10ed9af59394dcfd","abstract_canon_sha256":"66f9666ef093335c36102f7099359a3ff8b61b31bac6755a51a7bd9ecb7f2e1f"},"schema_version":"1.0"},"canonical_sha256":"0663aaa2e438e316f9f7152aa9d4b481303986a395b1ce6fade3a870bf64a93a","source":{"kind":"arxiv","id":"1703.03001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03001","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03001v1","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03001","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"AZR2VIXEHDRR","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AZR2VIXEHDRRN6PX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AZR2VIXE","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AZR2VIXEHDRRN6PXCUVKTVFUQE","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-08T19:25:57Z","cross_cats_sorted":["cs.CE","nlin.CD","physics.comp-ph"],"title_canon_sha256":"b21728eb10fd76e2376d8595ce1355c2be0ca18e57677f6e10ed9af59394dcfd","abstract_canon_sha256":"66f9666ef093335c36102f7099359a3ff8b61b31bac6755a51a7bd9ecb7f2e1f"},"schema_version":"1.0"},"canonical_sha256":"0663aaa2e438e316f9f7152aa9d4b481303986a395b1ce6fade3a870bf64a93a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:35.225053Z","signature_b64":"idDhqyYTuebdiQ2UQ8OUncgWXOBERssZJj1jgLK+KqJ/a4TABfgrTCH4tXuMZs9sD7chANpUPRemRefov/MpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0663aaa2e438e316f9f7152aa9d4b481303986a395b1ce6fade3a870bf64a93a","last_reissued_at":"2026-05-18T00:21:35.224335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:35.224335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03001","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":"2026-05-18T00:21:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQnW/rxrpkYRTUdGYDC/mTKBIF4NKJabDb+1ZPlQFUWVwfdQfuRb5+0nBjZ/hnzyEc4tI44RARE/BZk8ojmRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:23:20.538558Z"},"content_sha256":"de2db0b6c5fe22069d3de89eca0409c6c2e0125cbefeb8bd8fe867c4330999e8","schema_version":"1.0","event_id":"sha256:de2db0b6c5fe22069d3de89eca0409c6c2e0125cbefeb8bd8fe867c4330999e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AZR2VIXEHDRRN6PXCUVKTVFUQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","nlin.CD","physics.comp-ph"],"primary_cat":"math.DS","authors_text":"George Haller, Paolo Tiso, Shobhit Jain","submitted_at":"2017-03-08T19:25:57Z","abstract_excerpt":"We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities and viscoelastic damping. SFD identifies a global slow manifold in the full system which attracts solutions at rates faster than typical rates within the manifold. An SSM, the smoothest nonlinear continuation of a linear modal subspace, is then used to further reduce the beam equations within the slow manifold. This two-stage, mathematically exact procedure results in a drastic reduction of the finite-element beam m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03001","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":"2026-05-18T00:21:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n7kATKn13sTgC2IuefNI166Xmc+tsvlF+/XPXmQWe47PWcTNJ9bB0iG2UeIutugMUvrsKNKAfCLIW2NGwlJEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:23:20.538909Z"},"content_sha256":"d53e6eaaa96590901c63ded983c356127f5502e9740d3843cf93a98eea03451c","schema_version":"1.0","event_id":"sha256:d53e6eaaa96590901c63ded983c356127f5502e9740d3843cf93a98eea03451c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/bundle.json","state_url":"https://pith.science/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/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":"2026-06-21T19:23:20Z","links":{"resolver":"https://pith.science/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE","bundle":"https://pith.science/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/bundle.json","state":"https://pith.science/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZR2VIXEHDRRN6PXCUVKTVFUQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AZR2VIXEHDRRN6PXCUVKTVFUQE","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":"66f9666ef093335c36102f7099359a3ff8b61b31bac6755a51a7bd9ecb7f2e1f","cross_cats_sorted":["cs.CE","nlin.CD","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-08T19:25:57Z","title_canon_sha256":"b21728eb10fd76e2376d8595ce1355c2be0ca18e57677f6e10ed9af59394dcfd"},"schema_version":"1.0","source":{"id":"1703.03001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03001","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03001v1","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03001","created_at":"2026-05-18T00:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"AZR2VIXEHDRR","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AZR2VIXEHDRRN6PX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AZR2VIXE","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:d53e6eaaa96590901c63ded983c356127f5502e9740d3843cf93a98eea03451c","target":"graph","created_at":"2026-05-18T00:21:35Z","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":"We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities and viscoelastic damping. SFD identifies a global slow manifold in the full system which attracts solutions at rates faster than typical rates within the manifold. An SSM, the smoothest nonlinear continuation of a linear modal subspace, is then used to further reduce the beam equations within the slow manifold. This two-stage, mathematically exact procedure results in a drastic reduction of the finite-element beam m","authors_text":"George Haller, Paolo Tiso, Shobhit Jain","cross_cats":["cs.CE","nlin.CD","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-08T19:25:57Z","title":"Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03001","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:de2db0b6c5fe22069d3de89eca0409c6c2e0125cbefeb8bd8fe867c4330999e8","target":"record","created_at":"2026-05-18T00:21:35Z","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":"66f9666ef093335c36102f7099359a3ff8b61b31bac6755a51a7bd9ecb7f2e1f","cross_cats_sorted":["cs.CE","nlin.CD","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-08T19:25:57Z","title_canon_sha256":"b21728eb10fd76e2376d8595ce1355c2be0ca18e57677f6e10ed9af59394dcfd"},"schema_version":"1.0","source":{"id":"1703.03001","kind":"arxiv","version":1}},"canonical_sha256":"0663aaa2e438e316f9f7152aa9d4b481303986a395b1ce6fade3a870bf64a93a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0663aaa2e438e316f9f7152aa9d4b481303986a395b1ce6fade3a870bf64a93a","first_computed_at":"2026-05-18T00:21:35.224335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:35.224335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"idDhqyYTuebdiQ2UQ8OUncgWXOBERssZJj1jgLK+KqJ/a4TABfgrTCH4tXuMZs9sD7chANpUPRemRefov/MpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:35.225053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de2db0b6c5fe22069d3de89eca0409c6c2e0125cbefeb8bd8fe867c4330999e8","sha256:d53e6eaaa96590901c63ded983c356127f5502e9740d3843cf93a98eea03451c"],"state_sha256":"fd7640747925ca4c01f384409b6dec38a91246817db415e4cb908c2cde64163b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5fs8MS1IIce/GBXXS/bGNeuwYOdxxux1bLs36jiwkg4ZEE9igKNqqoiVC3O+R/2fO6L90fV/QhtLy4ODjB2uDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T19:23:20.540928Z","bundle_sha256":"445f0cbf93d2ce9b4932ec5bdeb38f7522799627afbadaec4eff64857d293659"}}