{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RRZSPX4HTPXD5XFXVNSXXQE56F","short_pith_number":"pith:RRZSPX4H","canonical_record":{"source":{"id":"1408.2782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T17:26:00Z","cross_cats_sorted":["cs.DC","cs.DS"],"title_canon_sha256":"61f3d5c36124c234e814c662d07cb7f93d2012d2040a1547da3eaa61d3255745","abstract_canon_sha256":"d07c3e6246318a59a68c1ad5ebf0260848aafed5eb778a589d71608fdf7dca39"},"schema_version":"1.0"},"canonical_sha256":"8c7327df879bee3edcb7ab657bc09df14f1c1177fcbd93ba94f5eeb736ae8e8c","source":{"kind":"arxiv","id":"1408.2782","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2782","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2782v2","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2782","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"RRZSPX4HTPXD","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RRZSPX4HTPXD5XFX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RRZSPX4H","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RRZSPX4HTPXD5XFXVNSXXQE56F","target":"record","payload":{"canonical_record":{"source":{"id":"1408.2782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T17:26:00Z","cross_cats_sorted":["cs.DC","cs.DS"],"title_canon_sha256":"61f3d5c36124c234e814c662d07cb7f93d2012d2040a1547da3eaa61d3255745","abstract_canon_sha256":"d07c3e6246318a59a68c1ad5ebf0260848aafed5eb778a589d71608fdf7dca39"},"schema_version":"1.0"},"canonical_sha256":"8c7327df879bee3edcb7ab657bc09df14f1c1177fcbd93ba94f5eeb736ae8e8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:43.781717Z","signature_b64":"qfcVQQuOspaVIu2WrwuB7Tsoi1MnwweIJa7k3uJBlCy83r3hdPrYTbPDsFsvsmmIDxyZ0BXy6gGh/Q8PWSe5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c7327df879bee3edcb7ab657bc09df14f1c1177fcbd93ba94f5eeb736ae8e8c","last_reissued_at":"2026-05-18T02:19:43.781306Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:43.781306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.2782","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":"2026-05-18T02:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PURq2X9X1dx4uQcMczV09x9cpQtdUCfve0L1ID7+YEn3JCIfpWy5gXxmi/zKiOyZczH8CJjuQVSG4v/jQFpwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:03:31.467571Z"},"content_sha256":"a42ea81a501c2b7ef798e456ead66834a04bd61e37eb340f457b78ab7b2efa0d","schema_version":"1.0","event_id":"sha256:a42ea81a501c2b7ef798e456ead66834a04bd61e37eb340f457b78ab7b2efa0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RRZSPX4HTPXD5XFXVNSXXQE56F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast distributed almost stable marriages","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DC","cs.DS"],"primary_cat":"cs.GT","authors_text":"Rafail Ostrovsky, Will Rosenbaum","submitted_at":"2014-08-12T17:26:00Z","abstract_excerpt":"In their seminal work on the Stable Marriage Problem, Gale and Shapley describe an algorithm which finds a stable matching in $O(n^2)$ communication rounds. Their algorithm has a natural interpretation as a distributed algorithm where each player is represented by a single processor. In this distributed model, Floreen, Kaski, Polishchuk, and Suomela recently showed that for bounded preference lists, terminating the Gale-Shapley algorithm after a constant number of rounds results in an almost stable matching. In this paper, we describe a new deterministic distributed algorithm which finds an al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2782","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":"2026-05-18T02:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VIUExAGeT/EM4MBNcw4kOdCymcAjrkCSadB5nYD/7WiX2RS/zv5wSUzFYaE+3perfCl7bNwFPXDjB0kVmpmXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:03:31.467917Z"},"content_sha256":"074aeb7a6a279128bfc5a00dd71986765d05e6c790ae1df0a1d49952717c409c","schema_version":"1.0","event_id":"sha256:074aeb7a6a279128bfc5a00dd71986765d05e6c790ae1df0a1d49952717c409c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/bundle.json","state_url":"https://pith.science/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/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":"2026-06-12T05:03:31Z","links":{"resolver":"https://pith.science/pith/RRZSPX4HTPXD5XFXVNSXXQE56F","bundle":"https://pith.science/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/bundle.json","state":"https://pith.science/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRZSPX4HTPXD5XFXVNSXXQE56F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RRZSPX4HTPXD5XFXVNSXXQE56F","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":"d07c3e6246318a59a68c1ad5ebf0260848aafed5eb778a589d71608fdf7dca39","cross_cats_sorted":["cs.DC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T17:26:00Z","title_canon_sha256":"61f3d5c36124c234e814c662d07cb7f93d2012d2040a1547da3eaa61d3255745"},"schema_version":"1.0","source":{"id":"1408.2782","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2782","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2782v2","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2782","created_at":"2026-05-18T02:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"RRZSPX4HTPXD","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RRZSPX4HTPXD5XFX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RRZSPX4H","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:074aeb7a6a279128bfc5a00dd71986765d05e6c790ae1df0a1d49952717c409c","target":"graph","created_at":"2026-05-18T02:19:43Z","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":"In their seminal work on the Stable Marriage Problem, Gale and Shapley describe an algorithm which finds a stable matching in $O(n^2)$ communication rounds. Their algorithm has a natural interpretation as a distributed algorithm where each player is represented by a single processor. In this distributed model, Floreen, Kaski, Polishchuk, and Suomela recently showed that for bounded preference lists, terminating the Gale-Shapley algorithm after a constant number of rounds results in an almost stable matching. In this paper, we describe a new deterministic distributed algorithm which finds an al","authors_text":"Rafail Ostrovsky, Will Rosenbaum","cross_cats":["cs.DC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T17:26:00Z","title":"Fast distributed almost stable marriages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2782","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:a42ea81a501c2b7ef798e456ead66834a04bd61e37eb340f457b78ab7b2efa0d","target":"record","created_at":"2026-05-18T02:19:43Z","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":"d07c3e6246318a59a68c1ad5ebf0260848aafed5eb778a589d71608fdf7dca39","cross_cats_sorted":["cs.DC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-08-12T17:26:00Z","title_canon_sha256":"61f3d5c36124c234e814c662d07cb7f93d2012d2040a1547da3eaa61d3255745"},"schema_version":"1.0","source":{"id":"1408.2782","kind":"arxiv","version":2}},"canonical_sha256":"8c7327df879bee3edcb7ab657bc09df14f1c1177fcbd93ba94f5eeb736ae8e8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c7327df879bee3edcb7ab657bc09df14f1c1177fcbd93ba94f5eeb736ae8e8c","first_computed_at":"2026-05-18T02:19:43.781306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:43.781306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qfcVQQuOspaVIu2WrwuB7Tsoi1MnwweIJa7k3uJBlCy83r3hdPrYTbPDsFsvsmmIDxyZ0BXy6gGh/Q8PWSe5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:43.781717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2782","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a42ea81a501c2b7ef798e456ead66834a04bd61e37eb340f457b78ab7b2efa0d","sha256:074aeb7a6a279128bfc5a00dd71986765d05e6c790ae1df0a1d49952717c409c"],"state_sha256":"e6b2a5586ca0201496fa3329f60d80c616b266eb46f9acda2725b43018776706"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E2sUjEJTFXrsPnCnRwDrW1uq4ATNhVHGWY7h5e/N+glRh/7nV4Rw0fm00yHlpnBG/VnJFb894XX9qe/+d6l4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T05:03:31.469949Z","bundle_sha256":"0eb8845b3c140c1d89e348aed52ce0919a6163631027f568053beedaeea7c119"}}