{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DMQVQ7TV3H4S25HIFINGVKC3BY","short_pith_number":"pith:DMQVQ7TV","canonical_record":{"source":{"id":"1204.3108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-04-13T21:07:24Z","cross_cats_sorted":[],"title_canon_sha256":"64dbbd4b49d9b0235941c7d16d8eb55e309b155df30fb435ce962a479204b0d3","abstract_canon_sha256":"9518b6aec946c44901201b782adf013912dde5c1dfca1f50bef7d8ca0a4239e8"},"schema_version":"1.0"},"canonical_sha256":"1b21587e75d9f92d74e82a1a6aa85b0e1efebe13c20f920cb247157f20366498","source":{"kind":"arxiv","id":"1204.3108","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3108","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3108v2","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3108","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"DMQVQ7TV3H4S","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DMQVQ7TV3H4S25HI","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DMQVQ7TV","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DMQVQ7TV3H4S25HIFINGVKC3BY","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-04-13T21:07:24Z","cross_cats_sorted":[],"title_canon_sha256":"64dbbd4b49d9b0235941c7d16d8eb55e309b155df30fb435ce962a479204b0d3","abstract_canon_sha256":"9518b6aec946c44901201b782adf013912dde5c1dfca1f50bef7d8ca0a4239e8"},"schema_version":"1.0"},"canonical_sha256":"1b21587e75d9f92d74e82a1a6aa85b0e1efebe13c20f920cb247157f20366498","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:18.750524Z","signature_b64":"k3c+G2vBjOxwJ/ftjfL45tg8+Fv0UC4uPUtu0OKRSBr1gFJNcirym/gUg5t/sy1ie5CKZuQcsBmB7Re4B1grCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b21587e75d9f92d74e82a1a6aa85b0e1efebe13c20f920cb247157f20366498","last_reissued_at":"2026-05-18T00:26:18.749990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:18.749990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3108","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":"2026-05-18T00:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p/eYyQGW7hyAFjbcEzCOXGdOSfwl6IZk+yO4QFTLMkmqN67hVbulxHSDW7eDGbvBCB6zKo2koIrT9l0gSYQQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T06:40:05.415849Z"},"content_sha256":"0529bfbdfb093397997d560eb5158f7ea0df705d26b150d301781c0b3dcc7ded","schema_version":"1.0","event_id":"sha256:0529bfbdfb093397997d560eb5158f7ea0df705d26b150d301781c0b3dcc7ded"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DMQVQ7TV3H4S25HIFINGVKC3BY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Filter convergence in $\\beta\\omega$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Jonathan L. Verner","submitted_at":"2012-04-13T21:07:24Z","abstract_excerpt":"We give a necessary combinatorial condition on a filter F to admit an injective F-convergent sequence in $\\beta\\omega$. We also show that no analytic filter F admits an injective F-convergent sequence in $\\beta\\omega$. This answers a question of T. Banakh, V. Mychaylyuk and L. Zdomskyy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3108","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":"2026-05-18T00:26:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"npOzt606Nt+6C4dxHCQURgMEMQ1CieghCxfZGv19hMWCUQoCmXW3n5NQ3Wl0+DCVj/GquMCoOBsP/+uEpNneCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T06:40:05.416175Z"},"content_sha256":"be8088611e7ff25711fcf106963d52b0ee203db310be8faf0605ac115c1b72dc","schema_version":"1.0","event_id":"sha256:be8088611e7ff25711fcf106963d52b0ee203db310be8faf0605ac115c1b72dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/bundle.json","state_url":"https://pith.science/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/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":"2026-06-22T06:40:05Z","links":{"resolver":"https://pith.science/pith/DMQVQ7TV3H4S25HIFINGVKC3BY","bundle":"https://pith.science/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/bundle.json","state":"https://pith.science/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DMQVQ7TV3H4S25HIFINGVKC3BY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DMQVQ7TV3H4S25HIFINGVKC3BY","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":"9518b6aec946c44901201b782adf013912dde5c1dfca1f50bef7d8ca0a4239e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-04-13T21:07:24Z","title_canon_sha256":"64dbbd4b49d9b0235941c7d16d8eb55e309b155df30fb435ce962a479204b0d3"},"schema_version":"1.0","source":{"id":"1204.3108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3108","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3108v2","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3108","created_at":"2026-05-18T00:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"DMQVQ7TV3H4S","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DMQVQ7TV3H4S25HI","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DMQVQ7TV","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:be8088611e7ff25711fcf106963d52b0ee203db310be8faf0605ac115c1b72dc","target":"graph","created_at":"2026-05-18T00:26:18Z","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 a necessary combinatorial condition on a filter F to admit an injective F-convergent sequence in $\\beta\\omega$. We also show that no analytic filter F admits an injective F-convergent sequence in $\\beta\\omega$. This answers a question of T. Banakh, V. Mychaylyuk and L. Zdomskyy.","authors_text":"Jonathan L. Verner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-04-13T21:07:24Z","title":"Filter convergence in $\\beta\\omega$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3108","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":"sha256:0529bfbdfb093397997d560eb5158f7ea0df705d26b150d301781c0b3dcc7ded","target":"record","created_at":"2026-05-18T00:26:18Z","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":"9518b6aec946c44901201b782adf013912dde5c1dfca1f50bef7d8ca0a4239e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-04-13T21:07:24Z","title_canon_sha256":"64dbbd4b49d9b0235941c7d16d8eb55e309b155df30fb435ce962a479204b0d3"},"schema_version":"1.0","source":{"id":"1204.3108","kind":"arxiv","version":2}},"canonical_sha256":"1b21587e75d9f92d74e82a1a6aa85b0e1efebe13c20f920cb247157f20366498","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b21587e75d9f92d74e82a1a6aa85b0e1efebe13c20f920cb247157f20366498","first_computed_at":"2026-05-18T00:26:18.749990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:18.749990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k3c+G2vBjOxwJ/ftjfL45tg8+Fv0UC4uPUtu0OKRSBr1gFJNcirym/gUg5t/sy1ie5CKZuQcsBmB7Re4B1grCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:18.750524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0529bfbdfb093397997d560eb5158f7ea0df705d26b150d301781c0b3dcc7ded","sha256:be8088611e7ff25711fcf106963d52b0ee203db310be8faf0605ac115c1b72dc"],"state_sha256":"9980e3f1aba84c3024bd611cfe87c8b9b678295c272bda313a3541b34ee35814"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UCk8UryeupPxmBUHjkEjVj1D9oDh1S+2WFGR84V6AgLE8lI/71hDJpRVTEN+104gLYSUjWx8cPgBsmyDEG21CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T06:40:05.418072Z","bundle_sha256":"7f43fd66953a4c5fbc6d5414c40f8fd944986019f95986008ba66ece76579d15"}}