{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RGJXAF6EEUTCRAX74AQ7ORIF7E","short_pith_number":"pith:RGJXAF6E","canonical_record":{"source":{"id":"1812.10150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-12-25T18:51:15Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"dd6975bc704f00133c97a49b1bf29b920f8a478853e8dd5f3a56543ff1725167","abstract_canon_sha256":"69ea6eaee118fc3e0ac9fbe2199c72c0e74541b497228b81edfef29ae086eb13"},"schema_version":"1.0"},"canonical_sha256":"89937017c425262882ffe021f74505f93e9bb53b0f7a622be75ea7866e473795","source":{"kind":"arxiv","id":"1812.10150","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10150","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10150v1","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10150","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"RGJXAF6EEUTC","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RGJXAF6EEUTCRAX7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RGJXAF6E","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RGJXAF6EEUTCRAX74AQ7ORIF7E","target":"record","payload":{"canonical_record":{"source":{"id":"1812.10150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-12-25T18:51:15Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"dd6975bc704f00133c97a49b1bf29b920f8a478853e8dd5f3a56543ff1725167","abstract_canon_sha256":"69ea6eaee118fc3e0ac9fbe2199c72c0e74541b497228b81edfef29ae086eb13"},"schema_version":"1.0"},"canonical_sha256":"89937017c425262882ffe021f74505f93e9bb53b0f7a622be75ea7866e473795","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:24.958113Z","signature_b64":"npQAGwOZhx9HeaDk8yDAWIImsNtd/iOrZ4AS/bD18OdBhK6ciZXcVI0J6NFl7FL/xNWKCvEjsJVIfHHMJ2YgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89937017c425262882ffe021f74505f93e9bb53b0f7a622be75ea7866e473795","last_reissued_at":"2026-05-17T23:57:24.957540Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:24.957540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.10150","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":"2026-05-17T23:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nf2U6N1pRRK6/Gq7JHgW8Td0CorTq3aihEkLYxDepoivCUTByetFdsu0wwd9/+OVOFB2hr951Jq3VynQaHTpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:55:51.228683Z"},"content_sha256":"559927ceece4bda58b9ca64be502dd5a98a395161793339aacfc73eef731e6f4","schema_version":"1.0","event_id":"sha256:559927ceece4bda58b9ca64be502dd5a98a395161793339aacfc73eef731e6f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RGJXAF6EEUTCRAX74AQ7ORIF7E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Algorithm for computing the t-signature of two-state networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"stat.CO","authors_text":"M. Siavashi, S. Zarezadeh","submitted_at":"2018-12-25T18:51:15Z","abstract_excerpt":"Due to the importance of signature vector in studying the reliability of networks, some methods have been proposed by researchers to obtain the signature. The notion of signature is used when at most one link may fail at each time instant. It is more realistic to consider the case where non of the components, one component or more than one component of the network may be destroyed at each time. Motivated by this, the concept of t-signature has been recently defined to get the reliability of such a network. The t-signature is a probability vector and depends only on the network structure. In th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10150","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":"2026-05-17T23:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YTooXniomVKzlgkFJm0M1Cf/nBr0EktExd5SdGHB9SbjigpFEYl/KrOcgz4FKn4yxyHf9dytWO+kbaHNIEKSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:55:51.229240Z"},"content_sha256":"6d269dae3ee054bbd60c7458f0f8ab0211b548782f3d04015dbf40ca00d44659","schema_version":"1.0","event_id":"sha256:6d269dae3ee054bbd60c7458f0f8ab0211b548782f3d04015dbf40ca00d44659"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/bundle.json","state_url":"https://pith.science/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/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":"2026-06-11T03:55:51Z","links":{"resolver":"https://pith.science/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E","bundle":"https://pith.science/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/bundle.json","state":"https://pith.science/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGJXAF6EEUTCRAX74AQ7ORIF7E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RGJXAF6EEUTCRAX74AQ7ORIF7E","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":"69ea6eaee118fc3e0ac9fbe2199c72c0e74541b497228b81edfef29ae086eb13","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-12-25T18:51:15Z","title_canon_sha256":"dd6975bc704f00133c97a49b1bf29b920f8a478853e8dd5f3a56543ff1725167"},"schema_version":"1.0","source":{"id":"1812.10150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10150","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10150v1","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10150","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"RGJXAF6EEUTC","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RGJXAF6EEUTCRAX7","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RGJXAF6E","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:6d269dae3ee054bbd60c7458f0f8ab0211b548782f3d04015dbf40ca00d44659","target":"graph","created_at":"2026-05-17T23:57:24Z","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":"Due to the importance of signature vector in studying the reliability of networks, some methods have been proposed by researchers to obtain the signature. The notion of signature is used when at most one link may fail at each time instant. It is more realistic to consider the case where non of the components, one component or more than one component of the network may be destroyed at each time. Motivated by this, the concept of t-signature has been recently defined to get the reliability of such a network. The t-signature is a probability vector and depends only on the network structure. In th","authors_text":"M. Siavashi, S. Zarezadeh","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-12-25T18:51:15Z","title":"An Algorithm for computing the t-signature of two-state networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10150","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":"sha256:559927ceece4bda58b9ca64be502dd5a98a395161793339aacfc73eef731e6f4","target":"record","created_at":"2026-05-17T23:57:24Z","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":"69ea6eaee118fc3e0ac9fbe2199c72c0e74541b497228b81edfef29ae086eb13","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-12-25T18:51:15Z","title_canon_sha256":"dd6975bc704f00133c97a49b1bf29b920f8a478853e8dd5f3a56543ff1725167"},"schema_version":"1.0","source":{"id":"1812.10150","kind":"arxiv","version":1}},"canonical_sha256":"89937017c425262882ffe021f74505f93e9bb53b0f7a622be75ea7866e473795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89937017c425262882ffe021f74505f93e9bb53b0f7a622be75ea7866e473795","first_computed_at":"2026-05-17T23:57:24.957540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:24.957540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"npQAGwOZhx9HeaDk8yDAWIImsNtd/iOrZ4AS/bD18OdBhK6ciZXcVI0J6NFl7FL/xNWKCvEjsJVIfHHMJ2YgDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:24.958113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.10150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:559927ceece4bda58b9ca64be502dd5a98a395161793339aacfc73eef731e6f4","sha256:6d269dae3ee054bbd60c7458f0f8ab0211b548782f3d04015dbf40ca00d44659"],"state_sha256":"61da5e29ce5239a95cec6edbce6e9359f715b1818fc96a7e7492f0b1503f4736"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pkBm7TNd2gCO3RXPZWWbl+aPTCAf2Y/ULkAxHdbtej/GS3Gi4RROS/K9JW7elc/y0oZKVHNL4/vcZGkrfVZnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:55:51.231942Z","bundle_sha256":"989c7db3127c983495c5c454ac41b425002a1f7004e073a1da3a956e95379200"}}