{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XXR4HWXSTFYYHZYDAM323BXQR2","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":"7f30577cc8d1d0d5e625c221372031700b3f9acfa18be95549d7287c7dc927a2","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-04-01T13:16:00Z","title_canon_sha256":"3ac45376080764c87b379e5ec8271a08e6cf95ad242bb98aecb1c7d5f3d7481b"},"schema_version":"1.0","source":{"id":"1504.00218","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00218","created_at":"2026-05-18T01:34:57Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00218v2","created_at":"2026-05-18T01:34:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00218","created_at":"2026-05-18T01:34:57Z"},{"alias_kind":"pith_short_12","alias_value":"XXR4HWXSTFYY","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XXR4HWXSTFYYHZYD","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XXR4HWXS","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:4097b3ed13aced2d48892401d321df8fa53e770a0113f6d0d914a5a14f9be3df","target":"graph","created_at":"2026-05-18T01:34:57Z","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 show that there does not exist a joint generalization of the theorems of Ramsey and Hindman, or more explicitly, that the property of containing a symmetric IP-set is not divisible.","authors_text":"Eli Glasner, Ethan Akin","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-04-01T13:16:00Z","title":"Is there a Ramsey-Hindman theorem ?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00218","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:ccf39ea7475f80bbc48c0a5cc61efe733fc1c09e67fc0e7143b1e5be7060e8db","target":"record","created_at":"2026-05-18T01:34:57Z","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":"7f30577cc8d1d0d5e625c221372031700b3f9acfa18be95549d7287c7dc927a2","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-04-01T13:16:00Z","title_canon_sha256":"3ac45376080764c87b379e5ec8271a08e6cf95ad242bb98aecb1c7d5f3d7481b"},"schema_version":"1.0","source":{"id":"1504.00218","kind":"arxiv","version":2}},"canonical_sha256":"bde3c3daf2997183e7030337ad86f08ea7fd50bb85e478098043b014f4890886","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bde3c3daf2997183e7030337ad86f08ea7fd50bb85e478098043b014f4890886","first_computed_at":"2026-05-18T01:34:57.063828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:57.063828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bui2nj3ZzfeBB2KZ7XhMKRj/7TM/bdYxJIAThz28SZFVt5zS92GYO68W9qup8KiMCl/PF8nx3QL/GrkTdx0KBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:57.064513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00218","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf39ea7475f80bbc48c0a5cc61efe733fc1c09e67fc0e7143b1e5be7060e8db","sha256:4097b3ed13aced2d48892401d321df8fa53e770a0113f6d0d914a5a14f9be3df"],"state_sha256":"720b7bb8550787380133f98d4f46cda6abfc5647992f095d7a78672333273998"}