{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:47YUFRL3WYLPSFXNZRMEHDW5LK","short_pith_number":"pith:47YUFRL3","canonical_record":{"source":{"id":"1401.2283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-10T11:00:15Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"fe94491fa07d99ee00a013b939c737d2a8eef4ba671ea6a48ace05e8cb3fb6af","abstract_canon_sha256":"4684949c02a38fa1463aaeff15a962c1a9710e945f7c63c09cf6beaa73e840ee"},"schema_version":"1.0"},"canonical_sha256":"e7f142c57bb616f916edcc58438edd5a9bd4a8b819070eee241a361722dc057e","source":{"kind":"arxiv","id":"1401.2283","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2283","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2283v2","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2283","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"47YUFRL3WYLP","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"47YUFRL3WYLPSFXN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"47YUFRL3","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:47YUFRL3WYLPSFXNZRMEHDW5LK","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-10T11:00:15Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"fe94491fa07d99ee00a013b939c737d2a8eef4ba671ea6a48ace05e8cb3fb6af","abstract_canon_sha256":"4684949c02a38fa1463aaeff15a962c1a9710e945f7c63c09cf6beaa73e840ee"},"schema_version":"1.0"},"canonical_sha256":"e7f142c57bb616f916edcc58438edd5a9bd4a8b819070eee241a361722dc057e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:45.521919Z","signature_b64":"wvjFQwNsV2qS+Qyw7qX+CpJmWl0JGhc6D8gc4e7Dh6Ml+Ek2+41mNgrKSisG17yFpZ+zceDCK8NKEtH3dbPXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7f142c57bb616f916edcc58438edd5a9bd4a8b819070eee241a361722dc057e","last_reissued_at":"2026-05-18T01:23:45.521286Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:45.521286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2283","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":"2026-05-18T01:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgAJAehdcGLLPGhe5wTNGbLma9n54QYwJs0qEonp5Zd9dvJeiv+8H28SjHnhPFNfw+Wdr5QMtEn7CGZdnD27DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:49:30.320752Z"},"content_sha256":"0220c71707cb57119254636a5d44a8e859aa8e6c953890fd13a0542d0cb4ad52","schema_version":"1.0","event_id":"sha256:0220c71707cb57119254636a5d44a8e859aa8e6c953890fd13a0542d0cb4ad52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:47YUFRL3WYLPSFXNZRMEHDW5LK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathias forcing and combinatorial covering properties of filters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.LO","authors_text":"David Chodounsk\\'y, Du\\v{s}an Repov\\v{s}, Lyubomyr Zdomskyy","submitted_at":"2014-01-10T11:00:15Z","abstract_excerpt":"We give topological characterizations of filters $F$ on $w$ such that the Mathias forcing $M_F$ adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzm\\'an, Hru\\v{s}\\'ak, Mart\\'{\\i}nez, Minami, and Tsaban."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2283","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":"2026-05-18T01:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rXCKnWBex7LCECDu7LN+oasOP1DB42K5POdFe+AJK2Kg0BlbBpKL9PIKoYPsSTr/AoHz7kdCDr0YGqVu+8ezAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:49:30.321093Z"},"content_sha256":"4a876927c121b54a80db5eca4f64089200289a0cc1ac13c485f98d978e777b23","schema_version":"1.0","event_id":"sha256:4a876927c121b54a80db5eca4f64089200289a0cc1ac13c485f98d978e777b23"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/bundle.json","state_url":"https://pith.science/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/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":"2026-06-03T07:49:30Z","links":{"resolver":"https://pith.science/pith/47YUFRL3WYLPSFXNZRMEHDW5LK","bundle":"https://pith.science/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/bundle.json","state":"https://pith.science/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/47YUFRL3WYLPSFXNZRMEHDW5LK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:47YUFRL3WYLPSFXNZRMEHDW5LK","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":"4684949c02a38fa1463aaeff15a962c1a9710e945f7c63c09cf6beaa73e840ee","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-10T11:00:15Z","title_canon_sha256":"fe94491fa07d99ee00a013b939c737d2a8eef4ba671ea6a48ace05e8cb3fb6af"},"schema_version":"1.0","source":{"id":"1401.2283","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2283","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2283v2","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2283","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"47YUFRL3WYLP","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"47YUFRL3WYLPSFXN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"47YUFRL3","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:4a876927c121b54a80db5eca4f64089200289a0cc1ac13c485f98d978e777b23","target":"graph","created_at":"2026-05-18T01:23:45Z","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 give topological characterizations of filters $F$ on $w$ such that the Mathias forcing $M_F$ adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzm\\'an, Hru\\v{s}\\'ak, Mart\\'{\\i}nez, Minami, and Tsaban.","authors_text":"David Chodounsk\\'y, Du\\v{s}an Repov\\v{s}, Lyubomyr Zdomskyy","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-10T11:00:15Z","title":"Mathias forcing and combinatorial covering properties of filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2283","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":"sha256:0220c71707cb57119254636a5d44a8e859aa8e6c953890fd13a0542d0cb4ad52","target":"record","created_at":"2026-05-18T01:23:45Z","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":"4684949c02a38fa1463aaeff15a962c1a9710e945f7c63c09cf6beaa73e840ee","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-01-10T11:00:15Z","title_canon_sha256":"fe94491fa07d99ee00a013b939c737d2a8eef4ba671ea6a48ace05e8cb3fb6af"},"schema_version":"1.0","source":{"id":"1401.2283","kind":"arxiv","version":2}},"canonical_sha256":"e7f142c57bb616f916edcc58438edd5a9bd4a8b819070eee241a361722dc057e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7f142c57bb616f916edcc58438edd5a9bd4a8b819070eee241a361722dc057e","first_computed_at":"2026-05-18T01:23:45.521286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:45.521286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wvjFQwNsV2qS+Qyw7qX+CpJmWl0JGhc6D8gc4e7Dh6Ml+Ek2+41mNgrKSisG17yFpZ+zceDCK8NKEtH3dbPXCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:45.521919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2283","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0220c71707cb57119254636a5d44a8e859aa8e6c953890fd13a0542d0cb4ad52","sha256:4a876927c121b54a80db5eca4f64089200289a0cc1ac13c485f98d978e777b23"],"state_sha256":"df20788e6ccb1767c791e0761031e2f218ffb64ba605f5d70c965f6879ed847f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vit6SHxFqneYhxt5Nw7+JqCmdYUHd0I6232HqIbHlhd99bqfLvNocXcJ6SdO1kaq8kSVpRwhAhBm0Eh8NXrMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:49:30.323015Z","bundle_sha256":"8efb5318220517e4d1401373bbcc93e7238f02193a378c14bb49b1772a2a6085"}}