{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IY3TN2LL5L43RPS57LOVOTCWZS","short_pith_number":"pith:IY3TN2LL","canonical_record":{"source":{"id":"1603.06413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-21T12:47:53Z","cross_cats_sorted":[],"title_canon_sha256":"4d6b9b0cc2a3d9df5c4c2aaf1cd7e200fd1f51eb24a47e84d75b33d006fe7556","abstract_canon_sha256":"1cd2263d184b393818c1276ce994d137920d993deccb93f64e4388cdafe959ba"},"schema_version":"1.0"},"canonical_sha256":"463736e96beaf9b8be5dfadd574c56cc805a04b21a8aacea00ccdaee9cc565df","source":{"kind":"arxiv","id":"1603.06413","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06413","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06413v2","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06413","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"IY3TN2LL5L43","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IY3TN2LL5L43RPS5","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IY3TN2LL","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IY3TN2LL5L43RPS57LOVOTCWZS","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-21T12:47:53Z","cross_cats_sorted":[],"title_canon_sha256":"4d6b9b0cc2a3d9df5c4c2aaf1cd7e200fd1f51eb24a47e84d75b33d006fe7556","abstract_canon_sha256":"1cd2263d184b393818c1276ce994d137920d993deccb93f64e4388cdafe959ba"},"schema_version":"1.0"},"canonical_sha256":"463736e96beaf9b8be5dfadd574c56cc805a04b21a8aacea00ccdaee9cc565df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:37.826112Z","signature_b64":"n7aMbc05Yuzarm9gt2RR9x+eV/MgO24GXm2zIThXJMZ4vqfq6w/I693Kv2iuLvvNyGwYlOY2Ty3wQ1gm96PWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"463736e96beaf9b8be5dfadd574c56cc805a04b21a8aacea00ccdaee9cc565df","last_reissued_at":"2026-05-18T01:10:37.825596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:37.825596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06413","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":"2026-05-18T01:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9/VmBx7X7IBqNYl4t8rWEfXniTaCuYDuV91tP2v4xtKBDihDrzSrpKCPSbzmZskMoHEVMSkKzK+v6Tne62hwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:07:45.450672Z"},"content_sha256":"a91d73f0ed5cb6bab6f89fc721ce6ef080678b989754c222c4e3c5501e3f88ed","schema_version":"1.0","event_id":"sha256:a91d73f0ed5cb6bab6f89fc721ce6ef080678b989754c222c4e3c5501e3f88ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IY3TN2LL5L43RPS57LOVOTCWZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A class of second-order cone eigenvalue complementarity problems for higher-order tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Chen Ling, Hongjin He, Jiaojiao Hou","submitted_at":"2016-03-21T12:47:53Z","abstract_excerpt":"In this paper, we consider the second-order cone tensor eigenvalue complementarity problem (SOCTEiCP) and present three different reformulations to the model under consideration. Specifically, for the general SOCTEiCP, we first show its equivalence to a particular variational inequality under reasonable conditions. A notable benefit is that such a reformulation possibly provides an efficient way for the study of properties of the problem. Then, for the symmetric and sub-symmetric SOCTEiCPs, we reformulate them as appropriate nonlinear programming problems, which are extremely beneficial for de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06413","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":"2026-05-18T01:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfBqR1VPhc9vPNr0jkmOx5SOHiT96AueLzQkRx4nZI3Ru1QdZCq6g5PH/vt4LbDdyLD0PezWuConeJRqFjbMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:07:45.451091Z"},"content_sha256":"2072c5a9532833d6a575b86e8e926a57d5552336a0cf7758bc666e1d30cafd52","schema_version":"1.0","event_id":"sha256:2072c5a9532833d6a575b86e8e926a57d5552336a0cf7758bc666e1d30cafd52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IY3TN2LL5L43RPS57LOVOTCWZS/bundle.json","state_url":"https://pith.science/pith/IY3TN2LL5L43RPS57LOVOTCWZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IY3TN2LL5L43RPS57LOVOTCWZS/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":"2026-07-04T23:07:45Z","links":{"resolver":"https://pith.science/pith/IY3TN2LL5L43RPS57LOVOTCWZS","bundle":"https://pith.science/pith/IY3TN2LL5L43RPS57LOVOTCWZS/bundle.json","state":"https://pith.science/pith/IY3TN2LL5L43RPS57LOVOTCWZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IY3TN2LL5L43RPS57LOVOTCWZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IY3TN2LL5L43RPS57LOVOTCWZS","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":"1cd2263d184b393818c1276ce994d137920d993deccb93f64e4388cdafe959ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-21T12:47:53Z","title_canon_sha256":"4d6b9b0cc2a3d9df5c4c2aaf1cd7e200fd1f51eb24a47e84d75b33d006fe7556"},"schema_version":"1.0","source":{"id":"1603.06413","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06413","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06413v2","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06413","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"IY3TN2LL5L43","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IY3TN2LL5L43RPS5","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IY3TN2LL","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:2072c5a9532833d6a575b86e8e926a57d5552336a0cf7758bc666e1d30cafd52","target":"graph","created_at":"2026-05-18T01:10:37Z","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, we consider the second-order cone tensor eigenvalue complementarity problem (SOCTEiCP) and present three different reformulations to the model under consideration. Specifically, for the general SOCTEiCP, we first show its equivalence to a particular variational inequality under reasonable conditions. A notable benefit is that such a reformulation possibly provides an efficient way for the study of properties of the problem. Then, for the symmetric and sub-symmetric SOCTEiCPs, we reformulate them as appropriate nonlinear programming problems, which are extremely beneficial for de","authors_text":"Chen Ling, Hongjin He, Jiaojiao Hou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-21T12:47:53Z","title":"A class of second-order cone eigenvalue complementarity problems for higher-order tensors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06413","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:a91d73f0ed5cb6bab6f89fc721ce6ef080678b989754c222c4e3c5501e3f88ed","target":"record","created_at":"2026-05-18T01:10:37Z","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":"1cd2263d184b393818c1276ce994d137920d993deccb93f64e4388cdafe959ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-21T12:47:53Z","title_canon_sha256":"4d6b9b0cc2a3d9df5c4c2aaf1cd7e200fd1f51eb24a47e84d75b33d006fe7556"},"schema_version":"1.0","source":{"id":"1603.06413","kind":"arxiv","version":2}},"canonical_sha256":"463736e96beaf9b8be5dfadd574c56cc805a04b21a8aacea00ccdaee9cc565df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"463736e96beaf9b8be5dfadd574c56cc805a04b21a8aacea00ccdaee9cc565df","first_computed_at":"2026-05-18T01:10:37.825596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:37.825596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n7aMbc05Yuzarm9gt2RR9x+eV/MgO24GXm2zIThXJMZ4vqfq6w/I693Kv2iuLvvNyGwYlOY2Ty3wQ1gm96PWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:37.826112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06413","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a91d73f0ed5cb6bab6f89fc721ce6ef080678b989754c222c4e3c5501e3f88ed","sha256:2072c5a9532833d6a575b86e8e926a57d5552336a0cf7758bc666e1d30cafd52"],"state_sha256":"5dc82fde2a5917a7e13ce6351de23b96ae66d4136bfdc60167430b8548c9c327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h03s1zh47NIY2GvB3wItQUvQ5cc0lZ3RxvvuixSnIcjZC/fCffIci01eHk3aaPT5waRVkjlukrCvtQyddS49CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:07:45.453299Z","bundle_sha256":"e86cdbd5532fa54d483ae4245ce9fbe4406cde7e3cc430d8c521c175551e3728"}}