{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XQDKGJYGT26SINQWVSJ35VT7R5","short_pith_number":"pith:XQDKGJYG","canonical_record":{"source":{"id":"1202.4372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2012-02-20T16:42:07Z","cross_cats_sorted":["cs.SY","physics.class-ph"],"title_canon_sha256":"e60542be5fc90508bd64b4b3bb6f1fc4101ef18eee496a3a11559b35af13be8e","abstract_canon_sha256":"a1b2ea1ab566b6340e47df23674904d497acdf8e7f7bdffba69e530ffe4b3aa1"},"schema_version":"1.0"},"canonical_sha256":"bc06a327069ebd243616ac93bed67f8f65c3e88b70ccba5efe664ceee79c5c14","source":{"kind":"arxiv","id":"1202.4372","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4372","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4372v1","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4372","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"pith_short_12","alias_value":"XQDKGJYGT26S","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XQDKGJYGT26SINQW","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XQDKGJYG","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XQDKGJYGT26SINQWVSJ35VT7R5","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2012-02-20T16:42:07Z","cross_cats_sorted":["cs.SY","physics.class-ph"],"title_canon_sha256":"e60542be5fc90508bd64b4b3bb6f1fc4101ef18eee496a3a11559b35af13be8e","abstract_canon_sha256":"a1b2ea1ab566b6340e47df23674904d497acdf8e7f7bdffba69e530ffe4b3aa1"},"schema_version":"1.0"},"canonical_sha256":"bc06a327069ebd243616ac93bed67f8f65c3e88b70ccba5efe664ceee79c5c14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:18.405518Z","signature_b64":"qaPM0WbwB9xVlXea9qrfjbs1KT53mpqDjCBILy4KFYQAjXDlNI7Vzvh1gpC6CjHIR+vZHQlJ6akCgJonACqzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc06a327069ebd243616ac93bed67f8f65c3e88b70ccba5efe664ceee79c5c14","last_reissued_at":"2026-05-18T03:46:18.405046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:18.405046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4372","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":"2026-05-18T03:46:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5L5UfaL048cjKGNnL4OkpLUe2HX7pRZ6rKr96Q4Jhjemgt7cq/2b5mbrUq+IJ5Nw2yCS0Dd2MjrIdcKSX9AnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:58:54.651101Z"},"content_sha256":"4681c8658719261c1f2785e5bee6d53365b27988754c13a884f15b64e9cda038","schema_version":"1.0","event_id":"sha256:4681c8658719261c1f2785e5bee6d53365b27988754c13a884f15b64e9cda038"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XQDKGJYGT26SINQWVSJ35VT7R5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear approach to the orbiting spacecraft thermal problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","physics.class-ph"],"primary_cat":"cs.CE","authors_text":"German Fernandez-Rico, Jose Gaite","submitted_at":"2012-02-20T16:42:07Z","abstract_excerpt":"We develop a linear method for solving the nonlinear differential equations of a lumped-parameter thermal model of a spacecraft moving in a closed orbit. Our method, based on perturbation theory, is compared with heuristic linearizations of the same equations. The essential feature of the linear approach is that it provides a decomposition in thermal modes, like the decomposition of mechanical vibrations in normal modes. The stationary periodic solution of the linear equations can be alternately expressed as an explicit integral or as a Fourier series. We apply our method to a minimal thermal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4372","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":"2026-05-18T03:46:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8opAh4mJtL3pnwlYgnqvhI3ucY6sSHfuUcHL4sjHZxu1gxfw22G+tAalozlSkJ5xcRmLGnsZawUnkQW9QEXRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:58:54.651588Z"},"content_sha256":"1cfe5375357f54ad364746ce5278f75b8f545df47abd7f5b3fc6ce6466c36ea7","schema_version":"1.0","event_id":"sha256:1cfe5375357f54ad364746ce5278f75b8f545df47abd7f5b3fc6ce6466c36ea7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XQDKGJYGT26SINQWVSJ35VT7R5/bundle.json","state_url":"https://pith.science/pith/XQDKGJYGT26SINQWVSJ35VT7R5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XQDKGJYGT26SINQWVSJ35VT7R5/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":"2026-08-19T08:58:54Z","links":{"resolver":"https://pith.science/pith/XQDKGJYGT26SINQWVSJ35VT7R5","bundle":"https://pith.science/pith/XQDKGJYGT26SINQWVSJ35VT7R5/bundle.json","state":"https://pith.science/pith/XQDKGJYGT26SINQWVSJ35VT7R5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XQDKGJYGT26SINQWVSJ35VT7R5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XQDKGJYGT26SINQWVSJ35VT7R5","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":"a1b2ea1ab566b6340e47df23674904d497acdf8e7f7bdffba69e530ffe4b3aa1","cross_cats_sorted":["cs.SY","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2012-02-20T16:42:07Z","title_canon_sha256":"e60542be5fc90508bd64b4b3bb6f1fc4101ef18eee496a3a11559b35af13be8e"},"schema_version":"1.0","source":{"id":"1202.4372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4372","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4372v1","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4372","created_at":"2026-05-18T03:46:18Z"},{"alias_kind":"pith_short_12","alias_value":"XQDKGJYGT26S","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XQDKGJYGT26SINQW","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XQDKGJYG","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:1cfe5375357f54ad364746ce5278f75b8f545df47abd7f5b3fc6ce6466c36ea7","target":"graph","created_at":"2026-05-18T03:46:18Z","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 develop a linear method for solving the nonlinear differential equations of a lumped-parameter thermal model of a spacecraft moving in a closed orbit. Our method, based on perturbation theory, is compared with heuristic linearizations of the same equations. The essential feature of the linear approach is that it provides a decomposition in thermal modes, like the decomposition of mechanical vibrations in normal modes. The stationary periodic solution of the linear equations can be alternately expressed as an explicit integral or as a Fourier series. We apply our method to a minimal thermal ","authors_text":"German Fernandez-Rico, Jose Gaite","cross_cats":["cs.SY","physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2012-02-20T16:42:07Z","title":"Linear approach to the orbiting spacecraft thermal problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4372","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":"sha256:4681c8658719261c1f2785e5bee6d53365b27988754c13a884f15b64e9cda038","target":"record","created_at":"2026-05-18T03:46:18Z","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":"a1b2ea1ab566b6340e47df23674904d497acdf8e7f7bdffba69e530ffe4b3aa1","cross_cats_sorted":["cs.SY","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2012-02-20T16:42:07Z","title_canon_sha256":"e60542be5fc90508bd64b4b3bb6f1fc4101ef18eee496a3a11559b35af13be8e"},"schema_version":"1.0","source":{"id":"1202.4372","kind":"arxiv","version":1}},"canonical_sha256":"bc06a327069ebd243616ac93bed67f8f65c3e88b70ccba5efe664ceee79c5c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc06a327069ebd243616ac93bed67f8f65c3e88b70ccba5efe664ceee79c5c14","first_computed_at":"2026-05-18T03:46:18.405046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:18.405046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qaPM0WbwB9xVlXea9qrfjbs1KT53mpqDjCBILy4KFYQAjXDlNI7Vzvh1gpC6CjHIR+vZHQlJ6akCgJonACqzDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:18.405518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4681c8658719261c1f2785e5bee6d53365b27988754c13a884f15b64e9cda038","sha256:1cfe5375357f54ad364746ce5278f75b8f545df47abd7f5b3fc6ce6466c36ea7"],"state_sha256":"b69ef0633ca9b154af35d6632296bc7d21d9b5f9d67efe4cfba07cc1bec00ee6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ny3ow2ab7rUmiboRR45mnizW2G9Yq/VZvMFDqfx9h+loK5tY8//KapWCnDejCabtKszV0pQgaoq1++7SEbGGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T08:58:54.656726Z","bundle_sha256":"17e526064acf149c527230be00fe280313f296f0beb87eb7188669c5098a0733"}}