{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:N6B7DDXP3OVEZQYX2KQQRWTI2R","short_pith_number":"pith:N6B7DDXP","canonical_record":{"source":{"id":"1708.07190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T21:17:13Z","cross_cats_sorted":[],"title_canon_sha256":"9471ed3869af0dafc3d4f0c72fbf6a0fdf99d3752fe3585af9566262552976be","abstract_canon_sha256":"f97a141ea32d12539d9ec0d48cca5686f91940b4e761ff0fd77c8a2bb430b307"},"schema_version":"1.0"},"canonical_sha256":"6f83f18eefdbaa4cc317d2a108da68d467c0cbe44793ec276d760f5e2dfae848","source":{"kind":"arxiv","id":"1708.07190","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07190","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07190v1","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07190","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"N6B7DDXP3OVE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"N6B7DDXP3OVEZQYX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"N6B7DDXP","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:N6B7DDXP3OVEZQYX2KQQRWTI2R","target":"record","payload":{"canonical_record":{"source":{"id":"1708.07190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T21:17:13Z","cross_cats_sorted":[],"title_canon_sha256":"9471ed3869af0dafc3d4f0c72fbf6a0fdf99d3752fe3585af9566262552976be","abstract_canon_sha256":"f97a141ea32d12539d9ec0d48cca5686f91940b4e761ff0fd77c8a2bb430b307"},"schema_version":"1.0"},"canonical_sha256":"6f83f18eefdbaa4cc317d2a108da68d467c0cbe44793ec276d760f5e2dfae848","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:46.960962Z","signature_b64":"Kd+VUfuIyrdiBOpaRDwqLkJQF+T6O7DtP3ALNgSInFn5KF0wnWPkXd+ViisBbWuScQeDJQ+MDxxD9rwWfPvJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f83f18eefdbaa4cc317d2a108da68d467c0cbe44793ec276d760f5e2dfae848","last_reissued_at":"2026-05-18T00:36:46.960276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:46.960276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.07190","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":"2026-05-18T00:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3iqh6X/oOFOCEV3WEWq4nmJddPuopOjIiKXwNALc4Bx3lJ4FSDemv0N2acw4XrhTXUpXxLzT/VxbzMHYGkmaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:59:09.807518Z"},"content_sha256":"83a5914bb4a35ff8d4ea1656db3fd1e464dc0341bb28f615996bd6941f716358","schema_version":"1.0","event_id":"sha256:83a5914bb4a35ff8d4ea1656db3fd1e464dc0341bb28f615996bd6941f716358"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:N6B7DDXP3OVEZQYX2KQQRWTI2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decentralized Computation of Effective Resistances and Acceleration of Consensus Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mert Gurbuzbalaban, Necdet Serhat Aybat","submitted_at":"2017-08-23T21:17:13Z","abstract_excerpt":"The effective resistance between a pair of nodes in a weighted undirected graph is defined as the potential difference induced between them when a unit current is injected at the first node and extracted at the second node, treating edge weights as the conductance values of edges. The effective resistance is a key quantity of interest in many applications and fields including solving linear systems, Markov Chains and continuous-time averaging networks. We develop an efficient linearly convergent distributed algorithm for computing effective resistances and demonstrate its performance through n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07190","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":"2026-05-18T00:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iq61PSJyZuUEJIZENuD9dfnZ4Rf1eZlsjjHbGiaOJmeSW2THJhy33QWiIljESMMlGf8atqSJRFqZGzNa2VeUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:59:09.808155Z"},"content_sha256":"c812879cb9be418240e32f4e17b8258e49f47fe4f9f79efa16e864ef3ee1a1ce","schema_version":"1.0","event_id":"sha256:c812879cb9be418240e32f4e17b8258e49f47fe4f9f79efa16e864ef3ee1a1ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/bundle.json","state_url":"https://pith.science/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/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":"2026-05-27T01:59:09Z","links":{"resolver":"https://pith.science/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R","bundle":"https://pith.science/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/bundle.json","state":"https://pith.science/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N6B7DDXP3OVEZQYX2KQQRWTI2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:N6B7DDXP3OVEZQYX2KQQRWTI2R","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":"f97a141ea32d12539d9ec0d48cca5686f91940b4e761ff0fd77c8a2bb430b307","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T21:17:13Z","title_canon_sha256":"9471ed3869af0dafc3d4f0c72fbf6a0fdf99d3752fe3585af9566262552976be"},"schema_version":"1.0","source":{"id":"1708.07190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07190","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07190v1","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07190","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"N6B7DDXP3OVE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"N6B7DDXP3OVEZQYX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"N6B7DDXP","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:c812879cb9be418240e32f4e17b8258e49f47fe4f9f79efa16e864ef3ee1a1ce","target":"graph","created_at":"2026-05-18T00:36:46Z","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":"The effective resistance between a pair of nodes in a weighted undirected graph is defined as the potential difference induced between them when a unit current is injected at the first node and extracted at the second node, treating edge weights as the conductance values of edges. The effective resistance is a key quantity of interest in many applications and fields including solving linear systems, Markov Chains and continuous-time averaging networks. We develop an efficient linearly convergent distributed algorithm for computing effective resistances and demonstrate its performance through n","authors_text":"Mert Gurbuzbalaban, Necdet Serhat Aybat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T21:17:13Z","title":"Decentralized Computation of Effective Resistances and Acceleration of Consensus Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07190","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":"sha256:83a5914bb4a35ff8d4ea1656db3fd1e464dc0341bb28f615996bd6941f716358","target":"record","created_at":"2026-05-18T00:36:46Z","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":"f97a141ea32d12539d9ec0d48cca5686f91940b4e761ff0fd77c8a2bb430b307","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T21:17:13Z","title_canon_sha256":"9471ed3869af0dafc3d4f0c72fbf6a0fdf99d3752fe3585af9566262552976be"},"schema_version":"1.0","source":{"id":"1708.07190","kind":"arxiv","version":1}},"canonical_sha256":"6f83f18eefdbaa4cc317d2a108da68d467c0cbe44793ec276d760f5e2dfae848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f83f18eefdbaa4cc317d2a108da68d467c0cbe44793ec276d760f5e2dfae848","first_computed_at":"2026-05-18T00:36:46.960276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:46.960276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kd+VUfuIyrdiBOpaRDwqLkJQF+T6O7DtP3ALNgSInFn5KF0wnWPkXd+ViisBbWuScQeDJQ+MDxxD9rwWfPvJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:46.960962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.07190","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83a5914bb4a35ff8d4ea1656db3fd1e464dc0341bb28f615996bd6941f716358","sha256:c812879cb9be418240e32f4e17b8258e49f47fe4f9f79efa16e864ef3ee1a1ce"],"state_sha256":"178a94099fe5f32695873bb4c1d6157b99f8f43388f48730e801b4dd5570eb28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icPqr8ngowfCJVh9T+fu81MbE0YdaxML286pD2JT/xltsUsfVNDxe02M8y06XqSgBRyqIHXDIsJwyJcPpF/MDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:59:09.812159Z","bundle_sha256":"d05e01379a5543ab721ff5636e7dc42f592d918ae75370a198fd2be61a96eed1"}}