{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2V2TTC67IAMG6TF2KJKWDSZM7C","short_pith_number":"pith:2V2TTC67","canonical_record":{"source":{"id":"1006.1054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-06-05T15:58:40Z","cross_cats_sorted":[],"title_canon_sha256":"01b0bddd098a3b29d87a389ab22ed69e2b11d49af882d07099be65ea74dacc4f","abstract_canon_sha256":"49d97e121505f556fdfa22fe87f9eac27af3190b30b1a4e54645aab9b9155f47"},"schema_version":"1.0"},"canonical_sha256":"d575398bdf40186f4cba525561cb2cf89704143d2decbad06f331b981b842173","source":{"kind":"arxiv","id":"1006.1054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1054","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1054v2","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1054","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"2V2TTC67IAMG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2V2TTC67IAMG6TF2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2V2TTC67","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2V2TTC67IAMG6TF2KJKWDSZM7C","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-06-05T15:58:40Z","cross_cats_sorted":[],"title_canon_sha256":"01b0bddd098a3b29d87a389ab22ed69e2b11d49af882d07099be65ea74dacc4f","abstract_canon_sha256":"49d97e121505f556fdfa22fe87f9eac27af3190b30b1a4e54645aab9b9155f47"},"schema_version":"1.0"},"canonical_sha256":"d575398bdf40186f4cba525561cb2cf89704143d2decbad06f331b981b842173","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:45.563955Z","signature_b64":"LtiT/F7e//SvojjR+VpV94DyjOJHpedjlz6H2nfV2+DG/wywatAzidbtA7Ah7MP3mQj4nqlCflJAT49yP2/sAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d575398bdf40186f4cba525561cb2cf89704143d2decbad06f331b981b842173","last_reissued_at":"2026-05-18T04:42:45.563311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:45.563311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1054","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":"2026-05-18T04:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DkQwfjwjlTp7KLGF1uh+FJBy0La81OScf14keSznlcjheFeJqsPCi/9qj6ws6KuvR4/sX1AQ1aXKPlX28a6sAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:46:55.852013Z"},"content_sha256":"65aeeaef8b9658080dc568f6beefb02caf7e05cbdd5780e39a488a1c6cf88f08","schema_version":"1.0","event_id":"sha256:65aeeaef8b9658080dc568f6beefb02caf7e05cbdd5780e39a488a1c6cf88f08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2V2TTC67IAMG6TF2KJKWDSZM7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit and extended limit sets of matrices in Jordan normal form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonios Manoussos, George Costakis","submitted_at":"2010-06-05T15:58:40Z","abstract_excerpt":"In this note we describe the limit and the extended limit sets of every vector for a single matrix in Jordan normal form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1054","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":"2026-05-18T04:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6yiTGaMQHDf/2Ls8XiDuDWY0VO9gVvia2tE+FQj7kKL13Zd/G7NlpkrX6XZIhe4r6/lJTTqmOT3HWpbRiJPIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:46:55.852656Z"},"content_sha256":"b996fb942b55710593ddc571dab1aa57755c5fae99319981ada9b7267e0bc0b2","schema_version":"1.0","event_id":"sha256:b996fb942b55710593ddc571dab1aa57755c5fae99319981ada9b7267e0bc0b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/bundle.json","state_url":"https://pith.science/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/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":"2026-06-04T03:46:55Z","links":{"resolver":"https://pith.science/pith/2V2TTC67IAMG6TF2KJKWDSZM7C","bundle":"https://pith.science/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/bundle.json","state":"https://pith.science/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2V2TTC67IAMG6TF2KJKWDSZM7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2V2TTC67IAMG6TF2KJKWDSZM7C","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":"49d97e121505f556fdfa22fe87f9eac27af3190b30b1a4e54645aab9b9155f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-06-05T15:58:40Z","title_canon_sha256":"01b0bddd098a3b29d87a389ab22ed69e2b11d49af882d07099be65ea74dacc4f"},"schema_version":"1.0","source":{"id":"1006.1054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1054","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1054v2","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1054","created_at":"2026-05-18T04:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"2V2TTC67IAMG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2V2TTC67IAMG6TF2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2V2TTC67","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:b996fb942b55710593ddc571dab1aa57755c5fae99319981ada9b7267e0bc0b2","target":"graph","created_at":"2026-05-18T04:42:45Z","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 note we describe the limit and the extended limit sets of every vector for a single matrix in Jordan normal form.","authors_text":"Antonios Manoussos, George Costakis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-06-05T15:58:40Z","title":"Limit and extended limit sets of matrices in Jordan normal form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1054","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":"sha256:65aeeaef8b9658080dc568f6beefb02caf7e05cbdd5780e39a488a1c6cf88f08","target":"record","created_at":"2026-05-18T04:42:45Z","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":"49d97e121505f556fdfa22fe87f9eac27af3190b30b1a4e54645aab9b9155f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-06-05T15:58:40Z","title_canon_sha256":"01b0bddd098a3b29d87a389ab22ed69e2b11d49af882d07099be65ea74dacc4f"},"schema_version":"1.0","source":{"id":"1006.1054","kind":"arxiv","version":2}},"canonical_sha256":"d575398bdf40186f4cba525561cb2cf89704143d2decbad06f331b981b842173","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d575398bdf40186f4cba525561cb2cf89704143d2decbad06f331b981b842173","first_computed_at":"2026-05-18T04:42:45.563311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:45.563311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LtiT/F7e//SvojjR+VpV94DyjOJHpedjlz6H2nfV2+DG/wywatAzidbtA7Ah7MP3mQj4nqlCflJAT49yP2/sAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:45.563955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65aeeaef8b9658080dc568f6beefb02caf7e05cbdd5780e39a488a1c6cf88f08","sha256:b996fb942b55710593ddc571dab1aa57755c5fae99319981ada9b7267e0bc0b2"],"state_sha256":"a0076eecf75e5f0692a6e9bb91196eaa1b6a4eb74e985b56ea10030b9669ee26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfZZ4dIpNB+VZfa/8W8lckaYhOgDivzbGjINsx40SEhh9MPUhJCTFv4QukZxLAFAZryGRVIFi6q3cKxgXiKEDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:46:55.855902Z","bundle_sha256":"a2cf59a84cc66b90c1088c4f53720d833ce01a4d133311f8218aac6e8750c86d"}}