{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ERPTVFSQ3J35HR5Y37YDDCWQ4F","short_pith_number":"pith:ERPTVFSQ","canonical_record":{"source":{"id":"1505.02494","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-05-11T06:17:11Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"0e8e5bc144806c113ad0e198e8ff4f1e5dd68d83d3a844e76e39c51f21f9ad94","abstract_canon_sha256":"2108a65d9c01d444a38f7e21211dd2738afe02c871ca903d3d61abb3bc0259e7"},"schema_version":"1.0"},"canonical_sha256":"245f3a9650da77d3c7b8dff0318ad0e14aa29b7c2f3b4f054e9ede24459eb99f","source":{"kind":"arxiv","id":"1505.02494","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02494","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02494v2","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02494","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"ERPTVFSQ3J35","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ERPTVFSQ3J35HR5Y","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ERPTVFSQ","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ERPTVFSQ3J35HR5Y37YDDCWQ4F","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02494","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-05-11T06:17:11Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"0e8e5bc144806c113ad0e198e8ff4f1e5dd68d83d3a844e76e39c51f21f9ad94","abstract_canon_sha256":"2108a65d9c01d444a38f7e21211dd2738afe02c871ca903d3d61abb3bc0259e7"},"schema_version":"1.0"},"canonical_sha256":"245f3a9650da77d3c7b8dff0318ad0e14aa29b7c2f3b4f054e9ede24459eb99f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:43.725771Z","signature_b64":"iu1a1f7HJok83M5gl30m+6XTZL8Gdg05Aq58UlkDwS89qUkkyxKy6KmY/whmGFtZzXb5aaGTXvlYmK2YrMFGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"245f3a9650da77d3c7b8dff0318ad0e14aa29b7c2f3b4f054e9ede24459eb99f","last_reissued_at":"2026-05-18T01:24:43.725382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:43.725382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02494","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UGyjlSiCEQXBLG/YE1bbv6kuApPmRm8sL5SoTyppPIK7kTQkOpsXmWDKHXSsBeDZCNEJeFZjPCcEmlViDonFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:39:50.655586Z"},"content_sha256":"a21ce1adbe35e1223236ae608f92e25edf3a19cc930b46b43606c5c186c2fef3","schema_version":"1.0","event_id":"sha256:a21ce1adbe35e1223236ae608f92e25edf3a19cc930b46b43606c5c186c2fef3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ERPTVFSQ3J35HR5Y37YDDCWQ4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Eigenvalue Complementarity Problem for Tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.SP","authors_text":"Lu Ye, Qingzhi Yang, Zhongming Chen","submitted_at":"2015-05-11T06:17:11Z","abstract_excerpt":"In this paper, the generalized eigenvalue complementarity problem for tensors (GEiCP-T) is addressed, which arises from the stability analysis of finite dimensional mechanical systems and find applications in differential dynamical systems. The general properties of the (GEiCP-T) have been studied. We establish its relationship with the generalized tensor eigenvalue problem. It follows that if exist, the number of $\\lambda$-solutions can be bounded. We also give some sufficient conditions for the existence of the solution. In particular, there exists a unique solution of the (EiCP-T) (i.e., $J"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02494","kind":"arxiv","version":2},"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":"2026-05-18T01:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HIC0KgfP4Pjxmfl3mPXIZqtkATHr4Z4sxyz9t46ADbvuWoh+Ht3ho1lZCy7cDOtvCQkgtYVMJc50Ftr6vRWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:39:50.655932Z"},"content_sha256":"6218a63c477d70faf508b4dbabe771fe9cd52bddcf0fef2767cf0934788efa6b","schema_version":"1.0","event_id":"sha256:6218a63c477d70faf508b4dbabe771fe9cd52bddcf0fef2767cf0934788efa6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/bundle.json","state_url":"https://pith.science/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/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":"2026-05-28T04:39:50Z","links":{"resolver":"https://pith.science/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F","bundle":"https://pith.science/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/bundle.json","state":"https://pith.science/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERPTVFSQ3J35HR5Y37YDDCWQ4F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ERPTVFSQ3J35HR5Y37YDDCWQ4F","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":"2108a65d9c01d444a38f7e21211dd2738afe02c871ca903d3d61abb3bc0259e7","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-05-11T06:17:11Z","title_canon_sha256":"0e8e5bc144806c113ad0e198e8ff4f1e5dd68d83d3a844e76e39c51f21f9ad94"},"schema_version":"1.0","source":{"id":"1505.02494","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02494","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02494v2","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02494","created_at":"2026-05-18T01:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"ERPTVFSQ3J35","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ERPTVFSQ3J35HR5Y","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ERPTVFSQ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:6218a63c477d70faf508b4dbabe771fe9cd52bddcf0fef2767cf0934788efa6b","target":"graph","created_at":"2026-05-18T01:24:43Z","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":"In this paper, the generalized eigenvalue complementarity problem for tensors (GEiCP-T) is addressed, which arises from the stability analysis of finite dimensional mechanical systems and find applications in differential dynamical systems. The general properties of the (GEiCP-T) have been studied. We establish its relationship with the generalized tensor eigenvalue problem. It follows that if exist, the number of $\\lambda$-solutions can be bounded. We also give some sufficient conditions for the existence of the solution. In particular, there exists a unique solution of the (EiCP-T) (i.e., $J","authors_text":"Lu Ye, Qingzhi Yang, Zhongming Chen","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-05-11T06:17:11Z","title":"Generalized Eigenvalue Complementarity Problem for Tensors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02494","kind":"arxiv","version":2},"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:a21ce1adbe35e1223236ae608f92e25edf3a19cc930b46b43606c5c186c2fef3","target":"record","created_at":"2026-05-18T01:24:43Z","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":"2108a65d9c01d444a38f7e21211dd2738afe02c871ca903d3d61abb3bc0259e7","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-05-11T06:17:11Z","title_canon_sha256":"0e8e5bc144806c113ad0e198e8ff4f1e5dd68d83d3a844e76e39c51f21f9ad94"},"schema_version":"1.0","source":{"id":"1505.02494","kind":"arxiv","version":2}},"canonical_sha256":"245f3a9650da77d3c7b8dff0318ad0e14aa29b7c2f3b4f054e9ede24459eb99f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"245f3a9650da77d3c7b8dff0318ad0e14aa29b7c2f3b4f054e9ede24459eb99f","first_computed_at":"2026-05-18T01:24:43.725382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:43.725382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iu1a1f7HJok83M5gl30m+6XTZL8Gdg05Aq58UlkDwS89qUkkyxKy6KmY/whmGFtZzXb5aaGTXvlYmK2YrMFGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:43.725771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02494","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a21ce1adbe35e1223236ae608f92e25edf3a19cc930b46b43606c5c186c2fef3","sha256:6218a63c477d70faf508b4dbabe771fe9cd52bddcf0fef2767cf0934788efa6b"],"state_sha256":"a5fc505d968c4bc11ce81dd2638dd281fd5429c71e92e1555913f886aac97c78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6yc3a/6HfLxFtpHXshF7qVeId7dqN+d1QVRpXg9pmmXkG+n76nDjMinEXAlUkbqZ8WwEuxkxaETOtKFUEmhSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:39:50.658090Z","bundle_sha256":"187dbee8e556f7a34ca00edd6b75d93823c80e7d18bad0282a08af620f7da798"}}