{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JHBDNI33HFUCKPBUH5U7NXYS74","short_pith_number":"pith:JHBDNI33","canonical_record":{"source":{"id":"1708.02543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-08-08T16:15:05Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"0c2a9a0c2d9dbe88a65ef93cb4036bd4a2b0e6fa16b91d29c98382deef6cf668","abstract_canon_sha256":"d94b4d6331d404c1eab8c2cecfa7cbee88d977f870e7be2de2d8115b820f11bf"},"schema_version":"1.0"},"canonical_sha256":"49c236a37b3968253c343f69f6df12ff254dabf0ab84a162f9c810b8a3fdbb36","source":{"kind":"arxiv","id":"1708.02543","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02543","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02543v1","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02543","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"JHBDNI33HFUC","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JHBDNI33HFUCKPBU","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JHBDNI33","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JHBDNI33HFUCKPBUH5U7NXYS74","target":"record","payload":{"canonical_record":{"source":{"id":"1708.02543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-08-08T16:15:05Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"0c2a9a0c2d9dbe88a65ef93cb4036bd4a2b0e6fa16b91d29c98382deef6cf668","abstract_canon_sha256":"d94b4d6331d404c1eab8c2cecfa7cbee88d977f870e7be2de2d8115b820f11bf"},"schema_version":"1.0"},"canonical_sha256":"49c236a37b3968253c343f69f6df12ff254dabf0ab84a162f9c810b8a3fdbb36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:58.410293Z","signature_b64":"C4acIXgShmqKQ4mFqa3uXWwhy2n2ER5pyrL6/roVWg1Cqt3oRLpAzt819xa61oMZxoccHR/zKuZcsRKApGc1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49c236a37b3968253c343f69f6df12ff254dabf0ab84a162f9c810b8a3fdbb36","last_reissued_at":"2026-05-18T00:37:58.409870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:58.409870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.02543","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":"2026-05-18T00:37:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RemBBXPLSbPw7BrdR0CZ9XVCbGfLPf+jUmHaUYKurj5Oi9ctwZCL8ueeY1Ejzt5fgF3NWxU6yA7BqWDQWR5RAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:56:32.391111Z"},"content_sha256":"6517034aac46b00ec50267a05e43a00d10d86da999270755dc41914a64eba028","schema_version":"1.0","event_id":"sha256:6517034aac46b00ec50267a05e43a00d10d86da999270755dc41914a64eba028"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JHBDNI33HFUCKPBUH5U7NXYS74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impossibility of $n-1$-strong-equllibrium for Distributed Consensus with Rational Agents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT"],"primary_cat":"cs.DC","authors_text":"Amit Jacob Fanani, Itay Harel","submitted_at":"2017-08-08T16:15:05Z","abstract_excerpt":"An algorithm for $n-1$-strong-equillibrium for distributed consensus in a ring with rational agents was proposed by Afek et al. (2014). A proof of impossibility of $n-1$-strong-equillibrium for distributed consensus in every topology with rational agents, when $n$ is even, is presented. Furthermore, we show that the algorithm proposed by Afek et al. is the only algorithm which can solve the problem when $n$ is odd. Finally, we prove that the proposed algorithm provides a $n-2$-strong-equillibrium in a synchronous ring when $n$ is even."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02543","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":"2026-05-18T00:37:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wF5TBVZfJBwDIJ0MxFC5L0UCpZIq7+Cj+m8uxNEQ8VUNnzHQJuy8yJE0m0TzKnvis+IXbPXwOdJoPRnVXKqTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:56:32.391461Z"},"content_sha256":"18be39276b60c7a85927bb7926e2b6d708ee5a551f31d23da12b8eac415f2001","schema_version":"1.0","event_id":"sha256:18be39276b60c7a85927bb7926e2b6d708ee5a551f31d23da12b8eac415f2001"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JHBDNI33HFUCKPBUH5U7NXYS74/bundle.json","state_url":"https://pith.science/pith/JHBDNI33HFUCKPBUH5U7NXYS74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JHBDNI33HFUCKPBUH5U7NXYS74/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":"2026-05-31T06:56:32Z","links":{"resolver":"https://pith.science/pith/JHBDNI33HFUCKPBUH5U7NXYS74","bundle":"https://pith.science/pith/JHBDNI33HFUCKPBUH5U7NXYS74/bundle.json","state":"https://pith.science/pith/JHBDNI33HFUCKPBUH5U7NXYS74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JHBDNI33HFUCKPBUH5U7NXYS74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JHBDNI33HFUCKPBUH5U7NXYS74","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":"d94b4d6331d404c1eab8c2cecfa7cbee88d977f870e7be2de2d8115b820f11bf","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-08-08T16:15:05Z","title_canon_sha256":"0c2a9a0c2d9dbe88a65ef93cb4036bd4a2b0e6fa16b91d29c98382deef6cf668"},"schema_version":"1.0","source":{"id":"1708.02543","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02543","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02543v1","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02543","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"JHBDNI33HFUC","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JHBDNI33HFUCKPBU","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JHBDNI33","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:18be39276b60c7a85927bb7926e2b6d708ee5a551f31d23da12b8eac415f2001","target":"graph","created_at":"2026-05-18T00:37:58Z","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":"An algorithm for $n-1$-strong-equillibrium for distributed consensus in a ring with rational agents was proposed by Afek et al. (2014). A proof of impossibility of $n-1$-strong-equillibrium for distributed consensus in every topology with rational agents, when $n$ is even, is presented. Furthermore, we show that the algorithm proposed by Afek et al. is the only algorithm which can solve the problem when $n$ is odd. Finally, we prove that the proposed algorithm provides a $n-2$-strong-equillibrium in a synchronous ring when $n$ is even.","authors_text":"Amit Jacob Fanani, Itay Harel","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-08-08T16:15:05Z","title":"Impossibility of $n-1$-strong-equllibrium for Distributed Consensus with Rational Agents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02543","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":"sha256:6517034aac46b00ec50267a05e43a00d10d86da999270755dc41914a64eba028","target":"record","created_at":"2026-05-18T00:37:58Z","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":"d94b4d6331d404c1eab8c2cecfa7cbee88d977f870e7be2de2d8115b820f11bf","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-08-08T16:15:05Z","title_canon_sha256":"0c2a9a0c2d9dbe88a65ef93cb4036bd4a2b0e6fa16b91d29c98382deef6cf668"},"schema_version":"1.0","source":{"id":"1708.02543","kind":"arxiv","version":1}},"canonical_sha256":"49c236a37b3968253c343f69f6df12ff254dabf0ab84a162f9c810b8a3fdbb36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49c236a37b3968253c343f69f6df12ff254dabf0ab84a162f9c810b8a3fdbb36","first_computed_at":"2026-05-18T00:37:58.409870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:58.409870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C4acIXgShmqKQ4mFqa3uXWwhy2n2ER5pyrL6/roVWg1Cqt3oRLpAzt819xa61oMZxoccHR/zKuZcsRKApGc1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:58.410293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02543","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6517034aac46b00ec50267a05e43a00d10d86da999270755dc41914a64eba028","sha256:18be39276b60c7a85927bb7926e2b6d708ee5a551f31d23da12b8eac415f2001"],"state_sha256":"185a9a1c820418802b6184556f63a57c6fef22670bdef44e7bfbf874aa218cae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bNHaRSV1xqDtfHlBZfpKO/Wa5cY7fJVdZzwfZc82dmaNSvTBRQCs+T9W3YlUM2r51/5yE7Q8bv1qvg6hQWG0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:56:32.393241Z","bundle_sha256":"6a62680b98e7a3929fffa99a1b27ee4ec8391344094dcb4735c1ec060d63d3cd"}}