{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VT4MKRHWK24BJQPIKAUCEWAYUF","short_pith_number":"pith:VT4MKRHW","canonical_record":{"source":{"id":"1405.1649","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-07T15:48:36Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"d066574ddab920e99b92b98cd545a03be6ab5dea44f471891664d7ef35399e73","abstract_canon_sha256":"8f0c2925ea63c87ecd85b9bfd2aa37aa35ab8701e03fc20bf9af0c1d6e4e6d8e"},"schema_version":"1.0"},"canonical_sha256":"acf8c544f656b814c1e85028225818a17a18c40a78726021c52d70794b128d34","source":{"kind":"arxiv","id":"1405.1649","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1649","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1649v4","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1649","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"VT4MKRHWK24B","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VT4MKRHWK24BJQPI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VT4MKRHW","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VT4MKRHWK24BJQPIKAUCEWAYUF","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1649","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-07T15:48:36Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"d066574ddab920e99b92b98cd545a03be6ab5dea44f471891664d7ef35399e73","abstract_canon_sha256":"8f0c2925ea63c87ecd85b9bfd2aa37aa35ab8701e03fc20bf9af0c1d6e4e6d8e"},"schema_version":"1.0"},"canonical_sha256":"acf8c544f656b814c1e85028225818a17a18c40a78726021c52d70794b128d34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:25.963908Z","signature_b64":"hNOGwmw/+5ffTQuEoYw6BVxRw7M8bstUHCL3zvIwRcudU0LbkrnjCI2U4L5Up3L3usFQo1fYvoJCzSMCpqUUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acf8c544f656b814c1e85028225818a17a18c40a78726021c52d70794b128d34","last_reissued_at":"2026-05-18T02:41:25.963321Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:25.963321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1649","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAsRjXsccRU3ckjUPttlzyHYfPt4NdCCebaTh8BC4OX8NF3i++hAiU3WXaah6QM5tMsPQ+TrwHXZM8WAHp7PDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:22:48.715388Z"},"content_sha256":"08fcd03b7487f4bba57883bf25c467a77eacd2822aa5e85c596081ddb9dff6ad","schema_version":"1.0","event_id":"sha256:08fcd03b7487f4bba57883bf25c467a77eacd2822aa5e85c596081ddb9dff6ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VT4MKRHWK24BJQPIKAUCEWAYUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Symmetry Breaking in Hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.DC","authors_text":"Danupon Nanongkai, Gopal Pandurangan, Peter Robinson, Shay Kutten","submitted_at":"2014-05-07T15:48:36Z","abstract_excerpt":"Fundamental local symmetry breaking problems such as Maximal Independent Set (MIS) and coloring have been recognized as important by the community, and studied extensively in (standard) graphs. In particular, fast (i.e., logarithmic run time) randomized algorithms are well-established for MIS and $\\Delta +1$-coloring in both the LOCAL and CONGEST distributed computing models. On the other hand, comparatively much less is known on the complexity of distributed symmetry breaking in {\\em hypergraphs}. In particular, a key question is whether a fast (randomized) algorithm for MIS exists for hyperg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1649","kind":"arxiv","version":4},"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":"2026-05-18T02:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jkZB1arvUauTVuJcn4LCAUUhTn63VL7HM+witfgphDI1dxNemy+iG2L9sYPk9muSokbB6ZzjPAZgGH0c8GMbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:22:48.715927Z"},"content_sha256":"6b8df3ed62926841f79c15d390de7d87e25a30ca0ced10b4a05237aff19671a3","schema_version":"1.0","event_id":"sha256:6b8df3ed62926841f79c15d390de7d87e25a30ca0ced10b4a05237aff19671a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/bundle.json","state_url":"https://pith.science/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/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":"2026-05-27T21:22:48Z","links":{"resolver":"https://pith.science/pith/VT4MKRHWK24BJQPIKAUCEWAYUF","bundle":"https://pith.science/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/bundle.json","state":"https://pith.science/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VT4MKRHWK24BJQPIKAUCEWAYUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VT4MKRHWK24BJQPIKAUCEWAYUF","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":"8f0c2925ea63c87ecd85b9bfd2aa37aa35ab8701e03fc20bf9af0c1d6e4e6d8e","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-07T15:48:36Z","title_canon_sha256":"d066574ddab920e99b92b98cd545a03be6ab5dea44f471891664d7ef35399e73"},"schema_version":"1.0","source":{"id":"1405.1649","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1649","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1649v4","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1649","created_at":"2026-05-18T02:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"VT4MKRHWK24B","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VT4MKRHWK24BJQPI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VT4MKRHW","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:6b8df3ed62926841f79c15d390de7d87e25a30ca0ced10b4a05237aff19671a3","target":"graph","created_at":"2026-05-18T02:41:25Z","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":"Fundamental local symmetry breaking problems such as Maximal Independent Set (MIS) and coloring have been recognized as important by the community, and studied extensively in (standard) graphs. In particular, fast (i.e., logarithmic run time) randomized algorithms are well-established for MIS and $\\Delta +1$-coloring in both the LOCAL and CONGEST distributed computing models. On the other hand, comparatively much less is known on the complexity of distributed symmetry breaking in {\\em hypergraphs}. In particular, a key question is whether a fast (randomized) algorithm for MIS exists for hyperg","authors_text":"Danupon Nanongkai, Gopal Pandurangan, Peter Robinson, Shay Kutten","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-07T15:48:36Z","title":"Distributed Symmetry Breaking in Hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1649","kind":"arxiv","version":4},"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":"sha256:08fcd03b7487f4bba57883bf25c467a77eacd2822aa5e85c596081ddb9dff6ad","target":"record","created_at":"2026-05-18T02:41:25Z","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":"8f0c2925ea63c87ecd85b9bfd2aa37aa35ab8701e03fc20bf9af0c1d6e4e6d8e","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2014-05-07T15:48:36Z","title_canon_sha256":"d066574ddab920e99b92b98cd545a03be6ab5dea44f471891664d7ef35399e73"},"schema_version":"1.0","source":{"id":"1405.1649","kind":"arxiv","version":4}},"canonical_sha256":"acf8c544f656b814c1e85028225818a17a18c40a78726021c52d70794b128d34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acf8c544f656b814c1e85028225818a17a18c40a78726021c52d70794b128d34","first_computed_at":"2026-05-18T02:41:25.963321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:25.963321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hNOGwmw/+5ffTQuEoYw6BVxRw7M8bstUHCL3zvIwRcudU0LbkrnjCI2U4L5Up3L3usFQo1fYvoJCzSMCpqUUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:25.963908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1649","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08fcd03b7487f4bba57883bf25c467a77eacd2822aa5e85c596081ddb9dff6ad","sha256:6b8df3ed62926841f79c15d390de7d87e25a30ca0ced10b4a05237aff19671a3"],"state_sha256":"5f5a16837cd307a724f897ff0717184f11a40256cb9375ea2c2265219a9cd2fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yk02p1IDJbMtGuLWHdVeerfbxav0F22B7pMDbXhfvOpxvuMOVGF+5BK2t7pwXFtWYT+CIiwSkqJYWWNKBYKDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:22:48.718387Z","bundle_sha256":"ddbdce580c48ca372519a93074a35042092a7c87c704b2c0815c4e37d446d400"}}