{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ULPXDETH5FK63GZJN7DA3NMUAC","short_pith_number":"pith:ULPXDETH","canonical_record":{"source":{"id":"1712.09666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-12-27T20:05:35Z","cross_cats_sorted":["cs.NI"],"title_canon_sha256":"8cb5b0ed9a8663bff8229feda825dbdac563fea1f4ecfdd96e72734c349e0592","abstract_canon_sha256":"0e6213ed4266a755e65763b56b7f29abb290be2eb6a9f3a6e07849a6941e8e7a"},"schema_version":"1.0"},"canonical_sha256":"a2df719267e955ed9b296fc60db59400b7591fce4fb245a7a47942bc8eac8f2b","source":{"kind":"arxiv","id":"1712.09666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09666","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09666v1","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09666","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"pith_short_12","alias_value":"ULPXDETH5FK6","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"ULPXDETH5FK63GZJ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"ULPXDETH","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ULPXDETH5FK63GZJN7DA3NMUAC","target":"record","payload":{"canonical_record":{"source":{"id":"1712.09666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-12-27T20:05:35Z","cross_cats_sorted":["cs.NI"],"title_canon_sha256":"8cb5b0ed9a8663bff8229feda825dbdac563fea1f4ecfdd96e72734c349e0592","abstract_canon_sha256":"0e6213ed4266a755e65763b56b7f29abb290be2eb6a9f3a6e07849a6941e8e7a"},"schema_version":"1.0"},"canonical_sha256":"a2df719267e955ed9b296fc60db59400b7591fce4fb245a7a47942bc8eac8f2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:07.678024Z","signature_b64":"eBFEK2whHNbDz1WvB1sbFzug20pO6GQCX6BrMFNtvNG9vuxnmm0Kqn0OT6GrFTH/WzpbviDfUIJGCOsWp5rLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2df719267e955ed9b296fc60db59400b7591fce4fb245a7a47942bc8eac8f2b","last_reissued_at":"2026-05-18T00:27:07.677488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:07.677488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.09666","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":"2026-05-18T00:27:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrLaG0EsHpIlx8CSKwIb7QTpOUvDo+Fkl3wShuJ0r6xfapmJ4MrxnP3sYbup0RFWGZHC1hZA7esKTyAqze4+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:15:43.328660Z"},"content_sha256":"97e84759245d764631fbd0665a359d34902bbc37d687dcd213e10a13e38a7ff6","schema_version":"1.0","event_id":"sha256:97e84759245d764631fbd0665a359d34902bbc37d687dcd213e10a13e38a7ff6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ULPXDETH5FK63GZJN7DA3NMUAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Fast and Accurate Failure Frequency Approximation for $k$-Terminal Reliability Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI"],"primary_cat":"cs.DS","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh, Chanan Singh","submitted_at":"2017-12-27T20:05:35Z","abstract_excerpt":"This paper considers the problem of approximating the failure frequency of large-scale composite $k$-terminal reliability systems. In such systems, the nodes ($k$ of which are terminals) are connected through components which are subject to random failure and repair processes. At any time, a system failure occurs if the surviving system fails to connect all the k terminals together. We assume that each component's up-times and down-times follow statistically independent stationary random processes, and these processes are statistically independent across the components. In this setting, the ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09666","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":"2026-05-18T00:27:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nSLd35MNqNU1ELrDL441Dc9amiYFMEj/hHyZUN7Qf3vAQ5QZFb3i4swHTdAWAV18tCvCpW4HYYZBClHOPGQuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:15:43.329005Z"},"content_sha256":"08b49ccded9086d9cae6564debbb68f2cf3078e40814467b8dfd598fad003fd3","schema_version":"1.0","event_id":"sha256:08b49ccded9086d9cae6564debbb68f2cf3078e40814467b8dfd598fad003fd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULPXDETH5FK63GZJN7DA3NMUAC/bundle.json","state_url":"https://pith.science/pith/ULPXDETH5FK63GZJN7DA3NMUAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULPXDETH5FK63GZJN7DA3NMUAC/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":"2026-06-02T16:15:43Z","links":{"resolver":"https://pith.science/pith/ULPXDETH5FK63GZJN7DA3NMUAC","bundle":"https://pith.science/pith/ULPXDETH5FK63GZJN7DA3NMUAC/bundle.json","state":"https://pith.science/pith/ULPXDETH5FK63GZJN7DA3NMUAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULPXDETH5FK63GZJN7DA3NMUAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ULPXDETH5FK63GZJN7DA3NMUAC","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":"0e6213ed4266a755e65763b56b7f29abb290be2eb6a9f3a6e07849a6941e8e7a","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-12-27T20:05:35Z","title_canon_sha256":"8cb5b0ed9a8663bff8229feda825dbdac563fea1f4ecfdd96e72734c349e0592"},"schema_version":"1.0","source":{"id":"1712.09666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09666","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09666v1","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09666","created_at":"2026-05-18T00:27:07Z"},{"alias_kind":"pith_short_12","alias_value":"ULPXDETH5FK6","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"ULPXDETH5FK63GZJ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"ULPXDETH","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:08b49ccded9086d9cae6564debbb68f2cf3078e40814467b8dfd598fad003fd3","target":"graph","created_at":"2026-05-18T00:27:07Z","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":"This paper considers the problem of approximating the failure frequency of large-scale composite $k$-terminal reliability systems. In such systems, the nodes ($k$ of which are terminals) are connected through components which are subject to random failure and repair processes. At any time, a system failure occurs if the surviving system fails to connect all the k terminals together. We assume that each component's up-times and down-times follow statistically independent stationary random processes, and these processes are statistically independent across the components. In this setting, the ex","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh, Chanan Singh","cross_cats":["cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-12-27T20:05:35Z","title":"A Fast and Accurate Failure Frequency Approximation for $k$-Terminal Reliability Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09666","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":"sha256:97e84759245d764631fbd0665a359d34902bbc37d687dcd213e10a13e38a7ff6","target":"record","created_at":"2026-05-18T00:27:07Z","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":"0e6213ed4266a755e65763b56b7f29abb290be2eb6a9f3a6e07849a6941e8e7a","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-12-27T20:05:35Z","title_canon_sha256":"8cb5b0ed9a8663bff8229feda825dbdac563fea1f4ecfdd96e72734c349e0592"},"schema_version":"1.0","source":{"id":"1712.09666","kind":"arxiv","version":1}},"canonical_sha256":"a2df719267e955ed9b296fc60db59400b7591fce4fb245a7a47942bc8eac8f2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2df719267e955ed9b296fc60db59400b7591fce4fb245a7a47942bc8eac8f2b","first_computed_at":"2026-05-18T00:27:07.677488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:07.677488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eBFEK2whHNbDz1WvB1sbFzug20pO6GQCX6BrMFNtvNG9vuxnmm0Kqn0OT6GrFTH/WzpbviDfUIJGCOsWp5rLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:07.678024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97e84759245d764631fbd0665a359d34902bbc37d687dcd213e10a13e38a7ff6","sha256:08b49ccded9086d9cae6564debbb68f2cf3078e40814467b8dfd598fad003fd3"],"state_sha256":"1abc1cbf7443b8cec04960c106aed68ec9af81cd5d3285af22056cb78c065632"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuIbMQZ8LrgJwx55KO6LqRKibrNYlbMtrhrflqhUGChqnpHfeMtgvE8UKPN3/b4mjAl9Zlufvp53RTwk+Q5nDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:15:43.330903Z","bundle_sha256":"d8e3e8251d3ee7d394e2a3b597c725d98dbb432cf6f17ee1f42a681d5a26e195"}}