{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RQBVYD5RGAZ5COV5QVJN4VAD2X","short_pith_number":"pith:RQBVYD5R","canonical_record":{"source":{"id":"1407.5743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-22T06:07:57Z","cross_cats_sorted":[],"title_canon_sha256":"c1f5e1d859e720ba836f0cd767ea56a32ee6b1903bd0d57eef36f5abe70e44bb","abstract_canon_sha256":"c22d54f69025f3acba5771af1b4152113616654b955dfb7cd10b4f1ad8e1b6aa"},"schema_version":"1.0"},"canonical_sha256":"8c035c0fb13033d13abd8552de5403d5e2d976dac58c7c5fe4a51de84630dd74","source":{"kind":"arxiv","id":"1407.5743","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5743","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5743v1","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5743","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"pith_short_12","alias_value":"RQBVYD5RGAZ5","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQBVYD5RGAZ5COV5","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQBVYD5R","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RQBVYD5RGAZ5COV5QVJN4VAD2X","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-22T06:07:57Z","cross_cats_sorted":[],"title_canon_sha256":"c1f5e1d859e720ba836f0cd767ea56a32ee6b1903bd0d57eef36f5abe70e44bb","abstract_canon_sha256":"c22d54f69025f3acba5771af1b4152113616654b955dfb7cd10b4f1ad8e1b6aa"},"schema_version":"1.0"},"canonical_sha256":"8c035c0fb13033d13abd8552de5403d5e2d976dac58c7c5fe4a51de84630dd74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:06.719543Z","signature_b64":"NiHuJ7lqJwNkuVMhB3mkP3+dlm4Uj4Xp1FnTJtxGQjzgvWFEBVqpTQFwbXcb3wCy6+u9T9M0i+Z+YrcBs+RPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c035c0fb13033d13abd8552de5403d5e2d976dac58c7c5fe4a51de84630dd74","last_reissued_at":"2026-05-18T02:47:06.719164Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:06.719164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5743","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d9Wh7PT6gqeqSd+9YNy8Dd1pOYf7ZCYNqT6qluB7fjOwFcmAXWm0DdD2hiFmBWbtGPPdeBa+z9JLKoxQxNH3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:06:04.135155Z"},"content_sha256":"5f761942e5d85153a0670bcf0a488d00c611bf1a79325966644c4712f97963fe","schema_version":"1.0","event_id":"sha256:5f761942e5d85153a0670bcf0a488d00c611bf1a79325966644c4712f97963fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RQBVYD5RGAZ5COV5QVJN4VAD2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equiconnected spaces and Baire classification of separately continuous functions and their analogs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk","submitted_at":"2014-07-22T06:07:57Z","abstract_excerpt":"We investigate the Baire classification of mappings $f:X\\times Y\\to Z$, where $X$ belongs to a wide class of spaces, which includes all metrizable spaces, $Y$ is a topological space, $Z$ is an equiconnected space, which are continuous in the first variable and for a dense set in $X$ these mappings are functions of a Baire class $\\alpha$ in the second variable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5743","kind":"arxiv","version":1},"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":"2026-05-18T02:47:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r5+lJx8e7dzC/INSK2vlc7tkqQTdOyG1YmJTLrBhJzoQ6DuihQjfXTDEnngv+ILJqrIbLJ7DOWtu8eWSns7fBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:06:04.135767Z"},"content_sha256":"8cb11d94e610cefef32af06efdd23ffab51a4764538f41aa0622e2ac77d74c02","schema_version":"1.0","event_id":"sha256:8cb11d94e610cefef32af06efdd23ffab51a4764538f41aa0622e2ac77d74c02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/bundle.json","state_url":"https://pith.science/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/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":"2026-06-25T19:06:04Z","links":{"resolver":"https://pith.science/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X","bundle":"https://pith.science/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/bundle.json","state":"https://pith.science/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQBVYD5RGAZ5COV5QVJN4VAD2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RQBVYD5RGAZ5COV5QVJN4VAD2X","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":"c22d54f69025f3acba5771af1b4152113616654b955dfb7cd10b4f1ad8e1b6aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-22T06:07:57Z","title_canon_sha256":"c1f5e1d859e720ba836f0cd767ea56a32ee6b1903bd0d57eef36f5abe70e44bb"},"schema_version":"1.0","source":{"id":"1407.5743","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5743","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5743v1","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5743","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"pith_short_12","alias_value":"RQBVYD5RGAZ5","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQBVYD5RGAZ5COV5","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQBVYD5R","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:8cb11d94e610cefef32af06efdd23ffab51a4764538f41aa0622e2ac77d74c02","target":"graph","created_at":"2026-05-18T02:47:06Z","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 investigate the Baire classification of mappings $f:X\\times Y\\to Z$, where $X$ belongs to a wide class of spaces, which includes all metrizable spaces, $Y$ is a topological space, $Z$ is an equiconnected space, which are continuous in the first variable and for a dense set in $X$ these mappings are functions of a Baire class $\\alpha$ in the second variable.","authors_text":"Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-22T06:07:57Z","title":"Equiconnected spaces and Baire classification of separately continuous functions and their analogs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5743","kind":"arxiv","version":1},"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":"sha256:5f761942e5d85153a0670bcf0a488d00c611bf1a79325966644c4712f97963fe","target":"record","created_at":"2026-05-18T02:47:06Z","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":"c22d54f69025f3acba5771af1b4152113616654b955dfb7cd10b4f1ad8e1b6aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-22T06:07:57Z","title_canon_sha256":"c1f5e1d859e720ba836f0cd767ea56a32ee6b1903bd0d57eef36f5abe70e44bb"},"schema_version":"1.0","source":{"id":"1407.5743","kind":"arxiv","version":1}},"canonical_sha256":"8c035c0fb13033d13abd8552de5403d5e2d976dac58c7c5fe4a51de84630dd74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c035c0fb13033d13abd8552de5403d5e2d976dac58c7c5fe4a51de84630dd74","first_computed_at":"2026-05-18T02:47:06.719164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:06.719164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NiHuJ7lqJwNkuVMhB3mkP3+dlm4Uj4Xp1FnTJtxGQjzgvWFEBVqpTQFwbXcb3wCy6+u9T9M0i+Z+YrcBs+RPAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:06.719543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5743","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f761942e5d85153a0670bcf0a488d00c611bf1a79325966644c4712f97963fe","sha256:8cb11d94e610cefef32af06efdd23ffab51a4764538f41aa0622e2ac77d74c02"],"state_sha256":"c52dd9021c921afabd17a3ad4913f739c35435accac5a2677b34c6b02e8796a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CyVzkLyMztBt2CCRvHAeTBFKd5zMPuTrY8laBY7oFPdiBOwMqUSHu+O3W+6JUV2CYFWw0D/Kuy/KImYQ3Id1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T19:06:04.138481Z","bundle_sha256":"ac757cd8c3fe5d09bac16883f0f119ba5cd48bc30738fe36a1eebfe126c90b10"}}