{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EESZJ3ITKHVP4JJWP7YURXM7ZM","short_pith_number":"pith:EESZJ3IT","canonical_record":{"source":{"id":"1511.07078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-11-22T22:27:28Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"a9f90dd57b70a4d4beb89a8804b38d330e57f968566a807dde92a8e1fdf48c6d","abstract_canon_sha256":"8e9866a56fa5da8ef2f637db48cd1499dcb89bda5642dbe3af5ff309c7ad22ee"},"schema_version":"1.0"},"canonical_sha256":"212594ed1351eafe25367ff148dd9fcb27ab2a769aa22ea79a30e9ed5587a147","source":{"kind":"arxiv","id":"1511.07078","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07078","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07078v2","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07078","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"pith_short_12","alias_value":"EESZJ3ITKHVP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EESZJ3ITKHVP4JJW","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EESZJ3IT","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EESZJ3ITKHVP4JJWP7YURXM7ZM","target":"record","payload":{"canonical_record":{"source":{"id":"1511.07078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-11-22T22:27:28Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"a9f90dd57b70a4d4beb89a8804b38d330e57f968566a807dde92a8e1fdf48c6d","abstract_canon_sha256":"8e9866a56fa5da8ef2f637db48cd1499dcb89bda5642dbe3af5ff309c7ad22ee"},"schema_version":"1.0"},"canonical_sha256":"212594ed1351eafe25367ff148dd9fcb27ab2a769aa22ea79a30e9ed5587a147","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:24.553246Z","signature_b64":"xwYlyBvjgBEPkZoPQvrfFA9+wliVlMVq/bUVt1FVE1zKluU5LEkYneF0/SdH1t41OhOF8bUdAQbxLk34mnrdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212594ed1351eafe25367ff148dd9fcb27ab2a769aa22ea79a30e9ed5587a147","last_reissued_at":"2026-05-18T01:16:24.552632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:24.552632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.07078","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":"2026-05-18T01:16:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ROPtJ++Dr1m2VRsW0dkPwbFIf0f5UH7NFhRU/S8C53G/aloD9Wb3UPG6LVilKz2oyA46wn1dqCGcFJXvSUTdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:23:03.328167Z"},"content_sha256":"5f93289736442f842a05771f49143485992f2c00faaafb3e6d02eccd09b53d7d","schema_version":"1.0","event_id":"sha256:5f93289736442f842a05771f49143485992f2c00faaafb3e6d02eccd09b53d7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EESZJ3ITKHVP4JJWP7YURXM7ZM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Site and bond percolation thresholds in $K_{n,n}$-based lattices: Vulnerability of quantum annealers to random qubit and coupler failures on chimera topologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Helmut G. Katzgraber, M. A. Novotny, O. Melchert","submitted_at":"2015-11-22T22:27:28Z","abstract_excerpt":"We estimate the critical thresholds of bond and site percolation on nonplanar, effectively two-dimensional graphs with chimera like topology. The building blocks of these graphs are complete and symmetric bipartite subgraphs of size $2n$, referred to as $K_{n,n}$ graphs. For the numerical simulations we use an efficient union-find based algorithm and employ a finite-size scaling analysis to obtain the critical properties for both bond and site percolation. We report the respective percolation thresholds for different sizes of the bipartite subgraph and verify that the associated universality c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07078","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":"2026-05-18T01:16:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDVFAriLXme5BiS+TeQwfd6i/0JidmDf8p9ViC6ROhHLT97B+F5HANk2pWLzjCba2G2xNTGgBO0/+6uzNJZjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:23:03.328858Z"},"content_sha256":"ca53f1011968d5038d91e0d4032cc31ce76d174f108877fa1d771f2061baa883","schema_version":"1.0","event_id":"sha256:ca53f1011968d5038d91e0d4032cc31ce76d174f108877fa1d771f2061baa883"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/bundle.json","state_url":"https://pith.science/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/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":"2026-05-28T19:23:03Z","links":{"resolver":"https://pith.science/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM","bundle":"https://pith.science/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/bundle.json","state":"https://pith.science/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EESZJ3ITKHVP4JJWP7YURXM7ZM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EESZJ3ITKHVP4JJWP7YURXM7ZM","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":"8e9866a56fa5da8ef2f637db48cd1499dcb89bda5642dbe3af5ff309c7ad22ee","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-11-22T22:27:28Z","title_canon_sha256":"a9f90dd57b70a4d4beb89a8804b38d330e57f968566a807dde92a8e1fdf48c6d"},"schema_version":"1.0","source":{"id":"1511.07078","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07078","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07078v2","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07078","created_at":"2026-05-18T01:16:24Z"},{"alias_kind":"pith_short_12","alias_value":"EESZJ3ITKHVP","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EESZJ3ITKHVP4JJW","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EESZJ3IT","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:ca53f1011968d5038d91e0d4032cc31ce76d174f108877fa1d771f2061baa883","target":"graph","created_at":"2026-05-18T01:16:24Z","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":"We estimate the critical thresholds of bond and site percolation on nonplanar, effectively two-dimensional graphs with chimera like topology. The building blocks of these graphs are complete and symmetric bipartite subgraphs of size $2n$, referred to as $K_{n,n}$ graphs. For the numerical simulations we use an efficient union-find based algorithm and employ a finite-size scaling analysis to obtain the critical properties for both bond and site percolation. We report the respective percolation thresholds for different sizes of the bipartite subgraph and verify that the associated universality c","authors_text":"Helmut G. Katzgraber, M. A. Novotny, O. Melchert","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-11-22T22:27:28Z","title":"Site and bond percolation thresholds in $K_{n,n}$-based lattices: Vulnerability of quantum annealers to random qubit and coupler failures on chimera topologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07078","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":"sha256:5f93289736442f842a05771f49143485992f2c00faaafb3e6d02eccd09b53d7d","target":"record","created_at":"2026-05-18T01:16:24Z","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":"8e9866a56fa5da8ef2f637db48cd1499dcb89bda5642dbe3af5ff309c7ad22ee","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-11-22T22:27:28Z","title_canon_sha256":"a9f90dd57b70a4d4beb89a8804b38d330e57f968566a807dde92a8e1fdf48c6d"},"schema_version":"1.0","source":{"id":"1511.07078","kind":"arxiv","version":2}},"canonical_sha256":"212594ed1351eafe25367ff148dd9fcb27ab2a769aa22ea79a30e9ed5587a147","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212594ed1351eafe25367ff148dd9fcb27ab2a769aa22ea79a30e9ed5587a147","first_computed_at":"2026-05-18T01:16:24.552632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:24.552632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xwYlyBvjgBEPkZoPQvrfFA9+wliVlMVq/bUVt1FVE1zKluU5LEkYneF0/SdH1t41OhOF8bUdAQbxLk34mnrdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:24.553246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07078","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f93289736442f842a05771f49143485992f2c00faaafb3e6d02eccd09b53d7d","sha256:ca53f1011968d5038d91e0d4032cc31ce76d174f108877fa1d771f2061baa883"],"state_sha256":"4951d6fb980787aad39edc2f1bbe9544cc276c9e77ca6b39138ee4bc88f0077e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lT2zv7aM9j+8mgBvxjQ/Iiely7JEsmr8NHzupD8Mi8oY5NICwm5Mfpo2bcRuj+6+4mVBWOl0RmDAAbIQQv/zBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:23:03.332825Z","bundle_sha256":"35145420129e318cf991884a2ee3dae69e98ad8796e86350b8bc4c2285588898"}}