{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:MYETFLWC7IBXWSO3WP3SYR3VDE","short_pith_number":"pith:MYETFLWC","canonical_record":{"source":{"id":"0810.3668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-10-20T20:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"8c11e9273ddca236f2657b070057c074febcafd2dc950538a986a44ce49d4f63","abstract_canon_sha256":"87b5c807013661b3e4d7d59f4094cd4a8ce6c124c6bd052035e169e3805193b0"},"schema_version":"1.0"},"canonical_sha256":"660932aec2fa037b49dbb3f72c477519360b088c841606f5de0d7aa588db9141","source":{"kind":"arxiv","id":"0810.3668","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3668","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3668v1","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3668","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"MYETFLWC7IBX","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_16","alias_value":"MYETFLWC7IBXWSO3","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_8","alias_value":"MYETFLWC","created_at":"2026-07-04T15:15:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:MYETFLWC7IBXWSO3WP3SYR3VDE","target":"record","payload":{"canonical_record":{"source":{"id":"0810.3668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-10-20T20:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"8c11e9273ddca236f2657b070057c074febcafd2dc950538a986a44ce49d4f63","abstract_canon_sha256":"87b5c807013661b3e4d7d59f4094cd4a8ce6c124c6bd052035e169e3805193b0"},"schema_version":"1.0"},"canonical_sha256":"660932aec2fa037b49dbb3f72c477519360b088c841606f5de0d7aa588db9141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:15:19.209794Z","signature_b64":"MO7bUsRKF8az9nHA/SPo/xRLx4XsURBN47gw+Y19UkmLOg4amRWQIL3cQ2nap788IFXhZuer/ZOa9SrCdbbiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"660932aec2fa037b49dbb3f72c477519360b088c841606f5de0d7aa588db9141","last_reissued_at":"2026-07-04T15:15:19.209445Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:15:19.209445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.3668","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":"2026-07-04T15:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPSS7Vavpa1N8n/dZby1PBwZYIxtnB4kbf1bcaEMEguDfPc+GsnX2BXuHQOyYBf3oZ/H3qkHW1YBfZ/cY6/lDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:58:59.130508Z"},"content_sha256":"3488667d9361fa702bde771ef898e26c358efdd72b887e3af850b1fb75873093","schema_version":"1.0","event_id":"sha256:3488667d9361fa702bde771ef898e26c358efdd72b887e3af850b1fb75873093"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:MYETFLWC7IBXWSO3WP3SYR3VDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"G.H.M. van der Heijden, J. Valverde","submitted_at":"2008-10-20T20:21:52Z","abstract_excerpt":"We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are considered and we also compute post-buckling configurations. The equations used are the geometrically exact Kirchhoff equations. Magnetic buckling of a welded rod is found to be described by a surprisingly degenerate bifurcation, which is unfolded when both transverse anisotropy of the rod and angular velocity are considered. By solving the linearised equations about"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3668","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/0810.3668/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":"2026-07-04T15:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7yEeMz0a1D9ZyAPFjVwLQ66zYa+fJZ1ZuvLPflfiEoNrAuRHWyDm98Zof/kiW8un89X3e9KTZ17mOLnzMPMCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:58:59.131003Z"},"content_sha256":"e29c75c005104019cba9f15e5a0d049b6914f880170f389b056ff3d741fa2626","schema_version":"1.0","event_id":"sha256:e29c75c005104019cba9f15e5a0d049b6914f880170f389b056ff3d741fa2626"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/bundle.json","state_url":"https://pith.science/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/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":"2026-08-03T17:58:59Z","links":{"resolver":"https://pith.science/pith/MYETFLWC7IBXWSO3WP3SYR3VDE","bundle":"https://pith.science/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/bundle.json","state":"https://pith.science/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYETFLWC7IBXWSO3WP3SYR3VDE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:MYETFLWC7IBXWSO3WP3SYR3VDE","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":"87b5c807013661b3e4d7d59f4094cd4a8ce6c124c6bd052035e169e3805193b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-10-20T20:21:52Z","title_canon_sha256":"8c11e9273ddca236f2657b070057c074febcafd2dc950538a986a44ce49d4f63"},"schema_version":"1.0","source":{"id":"0810.3668","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3668","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3668v1","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3668","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"MYETFLWC7IBX","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_16","alias_value":"MYETFLWC7IBXWSO3","created_at":"2026-07-04T15:15:19Z"},{"alias_kind":"pith_short_8","alias_value":"MYETFLWC","created_at":"2026-07-04T15:15:19Z"}],"graph_snapshots":[{"event_id":"sha256:e29c75c005104019cba9f15e5a0d049b6914f880170f389b056ff3d741fa2626","target":"graph","created_at":"2026-07-04T15:15:19Z","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/0810.3668/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are considered and we also compute post-buckling configurations. The equations used are the geometrically exact Kirchhoff equations. Magnetic buckling of a welded rod is found to be described by a surprisingly degenerate bifurcation, which is unfolded when both transverse anisotropy of the rod and angular velocity are considered. By solving the linearised equations about","authors_text":"G.H.M. van der Heijden, J. Valverde","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-10-20T20:21:52Z","title":"Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3668","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":"sha256:3488667d9361fa702bde771ef898e26c358efdd72b887e3af850b1fb75873093","target":"record","created_at":"2026-07-04T15:15:19Z","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":"87b5c807013661b3e4d7d59f4094cd4a8ce6c124c6bd052035e169e3805193b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-10-20T20:21:52Z","title_canon_sha256":"8c11e9273ddca236f2657b070057c074febcafd2dc950538a986a44ce49d4f63"},"schema_version":"1.0","source":{"id":"0810.3668","kind":"arxiv","version":1}},"canonical_sha256":"660932aec2fa037b49dbb3f72c477519360b088c841606f5de0d7aa588db9141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"660932aec2fa037b49dbb3f72c477519360b088c841606f5de0d7aa588db9141","first_computed_at":"2026-07-04T15:15:19.209445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:15:19.209445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MO7bUsRKF8az9nHA/SPo/xRLx4XsURBN47gw+Y19UkmLOg4amRWQIL3cQ2nap788IFXhZuer/ZOa9SrCdbbiBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:15:19.209794Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.3668","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3488667d9361fa702bde771ef898e26c358efdd72b887e3af850b1fb75873093","sha256:e29c75c005104019cba9f15e5a0d049b6914f880170f389b056ff3d741fa2626"],"state_sha256":"63cf6db985e2d01cd452c255ae8675a6d5eb7a7dc51695c79fb849d5846630e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EVDN83XZ5dbsPm0Wl38AmgvRESjwCQLe6dl9LczuCi7eB7yyEoelffwLJYBlVAQqhQ7FuYIkTAcpFdH7B6nBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:58:59.136612Z","bundle_sha256":"c676a2b796b751575807e285c17f47cf8ac283535a31840d08c3b434badaa99a"}}