{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XHDJQCCP2D6FBM6CDC232OIFVS","short_pith_number":"pith:XHDJQCCP","canonical_record":{"source":{"id":"1701.07534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-26T01:10:02Z","cross_cats_sorted":[],"title_canon_sha256":"34fbb8cab55125cc7587db6fdabf6596dafd1598ffe525363f423da6d81c9b55","abstract_canon_sha256":"bfc4e19dec8c720cfa366a3c1cf253a63e08114f4ca18a1bceefc5d4ec1bb39d"},"schema_version":"1.0"},"canonical_sha256":"b9c698084fd0fc50b3c218b5bd3905ac840bfd924140fd6a3066d4df38274dc7","source":{"kind":"arxiv","id":"1701.07534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07534","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07534v1","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07534","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"pith_short_12","alias_value":"XHDJQCCP2D6F","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XHDJQCCP2D6FBM6C","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XHDJQCCP","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XHDJQCCP2D6FBM6CDC232OIFVS","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-26T01:10:02Z","cross_cats_sorted":[],"title_canon_sha256":"34fbb8cab55125cc7587db6fdabf6596dafd1598ffe525363f423da6d81c9b55","abstract_canon_sha256":"bfc4e19dec8c720cfa366a3c1cf253a63e08114f4ca18a1bceefc5d4ec1bb39d"},"schema_version":"1.0"},"canonical_sha256":"b9c698084fd0fc50b3c218b5bd3905ac840bfd924140fd6a3066d4df38274dc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:03.234405Z","signature_b64":"RMY5LCgX1bZk4Zj/ogcS7WKvu6YYHo+khNlY4jYiaOeRHcMFs2VgwqHoebOizH2OdhLsZeoZWes5Z7Upl+GRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9c698084fd0fc50b3c218b5bd3905ac840bfd924140fd6a3066d4df38274dc7","last_reissued_at":"2026-05-18T00:52:03.233711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:03.233711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07534","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":"2026-05-18T00:52:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AUUuKoOJMXyYbQqhF7ddQ7LKb1wxP7+bBaeqZZ8DyMV7WeOrISKzgyYWGQo6PiU1D5KhwSnbHUbrpUjC1800BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:51:29.134243Z"},"content_sha256":"6ed8ca114e3a8a5461e48e6566ec13f39b008c01ee79483aebdebaaab8deee7e","schema_version":"1.0","event_id":"sha256:6ed8ca114e3a8a5461e48e6566ec13f39b008c01ee79483aebdebaaab8deee7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XHDJQCCP2D6FBM6CDC232OIFVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Hongxia Yin, Liangmin Zhou, Liping Chen, Lixing Han","submitted_at":"2017-01-26T01:10:02Z","abstract_excerpt":"In this paper we propose a homotopy method to compute the largest eigenvalue and a corresponding eigenvector of a nonnegative tensor. We prove that it converges to the desired eigenpair when the tensor is irreducible. We also implement the method using an prediction-correction approach for path following. Some numerical results are provided to illustrate the efficiency of the method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07534","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":"2026-05-18T00:52:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FB12sQVUKuArAkhByGNkNtG5trecDQUV6DzxHHSQFcjAu2cQtU0KYNx6+Ri5u5Em+CVzItVUiDEcUtdkx4/uDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:51:29.134610Z"},"content_sha256":"ca063424ee7a6571af413ae639521f2072ab9aa40d97d069030bbb728ab16202","schema_version":"1.0","event_id":"sha256:ca063424ee7a6571af413ae639521f2072ab9aa40d97d069030bbb728ab16202"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XHDJQCCP2D6FBM6CDC232OIFVS/bundle.json","state_url":"https://pith.science/pith/XHDJQCCP2D6FBM6CDC232OIFVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XHDJQCCP2D6FBM6CDC232OIFVS/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":"2026-06-23T13:51:29Z","links":{"resolver":"https://pith.science/pith/XHDJQCCP2D6FBM6CDC232OIFVS","bundle":"https://pith.science/pith/XHDJQCCP2D6FBM6CDC232OIFVS/bundle.json","state":"https://pith.science/pith/XHDJQCCP2D6FBM6CDC232OIFVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XHDJQCCP2D6FBM6CDC232OIFVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XHDJQCCP2D6FBM6CDC232OIFVS","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":"bfc4e19dec8c720cfa366a3c1cf253a63e08114f4ca18a1bceefc5d4ec1bb39d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-26T01:10:02Z","title_canon_sha256":"34fbb8cab55125cc7587db6fdabf6596dafd1598ffe525363f423da6d81c9b55"},"schema_version":"1.0","source":{"id":"1701.07534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07534","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07534v1","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07534","created_at":"2026-05-18T00:52:03Z"},{"alias_kind":"pith_short_12","alias_value":"XHDJQCCP2D6F","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XHDJQCCP2D6FBM6C","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XHDJQCCP","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:ca063424ee7a6571af413ae639521f2072ab9aa40d97d069030bbb728ab16202","target":"graph","created_at":"2026-05-18T00:52:03Z","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 propose a homotopy method to compute the largest eigenvalue and a corresponding eigenvector of a nonnegative tensor. We prove that it converges to the desired eigenpair when the tensor is irreducible. We also implement the method using an prediction-correction approach for path following. Some numerical results are provided to illustrate the efficiency of the method.","authors_text":"Hongxia Yin, Liangmin Zhou, Liping Chen, Lixing Han","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-26T01:10:02Z","title":"A homotopy method for computing the largest eigenvalue of an irreducible nonnegative tensor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07534","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":"sha256:6ed8ca114e3a8a5461e48e6566ec13f39b008c01ee79483aebdebaaab8deee7e","target":"record","created_at":"2026-05-18T00:52:03Z","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":"bfc4e19dec8c720cfa366a3c1cf253a63e08114f4ca18a1bceefc5d4ec1bb39d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-26T01:10:02Z","title_canon_sha256":"34fbb8cab55125cc7587db6fdabf6596dafd1598ffe525363f423da6d81c9b55"},"schema_version":"1.0","source":{"id":"1701.07534","kind":"arxiv","version":1}},"canonical_sha256":"b9c698084fd0fc50b3c218b5bd3905ac840bfd924140fd6a3066d4df38274dc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9c698084fd0fc50b3c218b5bd3905ac840bfd924140fd6a3066d4df38274dc7","first_computed_at":"2026-05-18T00:52:03.233711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:03.233711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RMY5LCgX1bZk4Zj/ogcS7WKvu6YYHo+khNlY4jYiaOeRHcMFs2VgwqHoebOizH2OdhLsZeoZWes5Z7Upl+GRDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:03.234405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ed8ca114e3a8a5461e48e6566ec13f39b008c01ee79483aebdebaaab8deee7e","sha256:ca063424ee7a6571af413ae639521f2072ab9aa40d97d069030bbb728ab16202"],"state_sha256":"6da968f154da1d89624bfcf64d27e24ae61945232ac45323de0102cccbf8054d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4k4iKlci5AZiNJiMXe/mzwTIDozcHhBY29VjauANJ5DZYojBK9Cvvb+24+JevUlNagGzoAcqyeLQvPrRguyxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:51:29.136529Z","bundle_sha256":"79ae53df3e341f05c8d78d027647374c7a3cf71577966fcf6123140d597e4cd8"}}