{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7MVJ5KMTAMLGAGST6DJ7OZV2KI","short_pith_number":"pith:7MVJ5KMT","canonical_record":{"source":{"id":"1512.08433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-12-24T09:06:55Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"cf7f732b66563632d2d5fd03727e43ff11df0c89365780edce2cd1f9ec9e5c28","abstract_canon_sha256":"9a11b0c1f3fb8c3ded9217cad5d551c7985dc8dc50b15ad5e4137a0e0e985b49"},"schema_version":"1.0"},"canonical_sha256":"fb2a9ea9930316601a53f0d3f766ba52201189f99c1c49aaf5f026d5866fcda8","source":{"kind":"arxiv","id":"1512.08433","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08433","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08433v1","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08433","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"7MVJ5KMTAMLG","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7MVJ5KMTAMLGAGST","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7MVJ5KMT","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7MVJ5KMTAMLGAGST6DJ7OZV2KI","target":"record","payload":{"canonical_record":{"source":{"id":"1512.08433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-12-24T09:06:55Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"cf7f732b66563632d2d5fd03727e43ff11df0c89365780edce2cd1f9ec9e5c28","abstract_canon_sha256":"9a11b0c1f3fb8c3ded9217cad5d551c7985dc8dc50b15ad5e4137a0e0e985b49"},"schema_version":"1.0"},"canonical_sha256":"fb2a9ea9930316601a53f0d3f766ba52201189f99c1c49aaf5f026d5866fcda8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:42.320631Z","signature_b64":"gponFX+eQZJXOvXJ9p3wsB28yGRNljT3bmsmViixN+3kd2xQViqOLHR6V+unNNAw8Sp2595vD+VWUlU1UdIoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb2a9ea9930316601a53f0d3f766ba52201189f99c1c49aaf5f026d5866fcda8","last_reissued_at":"2026-05-18T01:23:42.320152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:42.320152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.08433","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":"2026-05-18T01:23:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gM5CD4JS0T9ubv0EzLiV9LibGTcZvqUUNSuCQ4TRPwQMPluBCmItI82BL5rgrVn+DzXBFGY30GMdkQsIkEkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:06:29.961601Z"},"content_sha256":"0cf78e71f8a6af63518ac360562ac9cad246ced2d20104a9edb43c74a208a0ab","schema_version":"1.0","event_id":"sha256:0cf78e71f8a6af63518ac360562ac9cad246ced2d20104a9edb43c74a208a0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7MVJ5KMTAMLGAGST6DJ7OZV2KI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a problem of Eidelheit from {\\tt The Scottish Book} concerning absolutely continuous functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.GN","authors_text":"Anatolij Plichko, Lech Maligranda, Volodymyr Mykhaylyuk","submitted_at":"2015-12-24T09:06:55Z","abstract_excerpt":"A negative solution of Problem 188 posed by Max Eidelheit in {\\it the Scottish Book} concerning superpositions of separately absolutely continuous functions is presented. We discuss here his and some related problems which have also negative solutions. Finally, we give an explanation of such negative answers from the \"embeddings of Banach spaces\" point of view."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08433","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":"2026-05-18T01:23:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMQ4lp5ox+aGyHy8vH572cFEQ7SsEXtrJAc+I3j7x7jrUr48CRJcSXqE0SRh1MGLj4QsKOBtIoKJkAcnjdDZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:06:29.961950Z"},"content_sha256":"6e143885d6b1ff261eca3e06db102e18daba031057eb74dec9afff9a1c876e4b","schema_version":"1.0","event_id":"sha256:6e143885d6b1ff261eca3e06db102e18daba031057eb74dec9afff9a1c876e4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/bundle.json","state_url":"https://pith.science/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/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":"2026-06-22T00:06:29Z","links":{"resolver":"https://pith.science/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI","bundle":"https://pith.science/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/bundle.json","state":"https://pith.science/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MVJ5KMTAMLGAGST6DJ7OZV2KI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7MVJ5KMTAMLGAGST6DJ7OZV2KI","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":"9a11b0c1f3fb8c3ded9217cad5d551c7985dc8dc50b15ad5e4137a0e0e985b49","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-12-24T09:06:55Z","title_canon_sha256":"cf7f732b66563632d2d5fd03727e43ff11df0c89365780edce2cd1f9ec9e5c28"},"schema_version":"1.0","source":{"id":"1512.08433","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08433","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08433v1","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08433","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"7MVJ5KMTAMLG","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7MVJ5KMTAMLGAGST","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7MVJ5KMT","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:6e143885d6b1ff261eca3e06db102e18daba031057eb74dec9afff9a1c876e4b","target":"graph","created_at":"2026-05-18T01:23:42Z","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":"A negative solution of Problem 188 posed by Max Eidelheit in {\\it the Scottish Book} concerning superpositions of separately absolutely continuous functions is presented. We discuss here his and some related problems which have also negative solutions. Finally, we give an explanation of such negative answers from the \"embeddings of Banach spaces\" point of view.","authors_text":"Anatolij Plichko, Lech Maligranda, Volodymyr Mykhaylyuk","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-12-24T09:06:55Z","title":"On a problem of Eidelheit from {\\tt The Scottish Book} concerning absolutely continuous functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08433","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":"sha256:0cf78e71f8a6af63518ac360562ac9cad246ced2d20104a9edb43c74a208a0ab","target":"record","created_at":"2026-05-18T01:23:42Z","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":"9a11b0c1f3fb8c3ded9217cad5d551c7985dc8dc50b15ad5e4137a0e0e985b49","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-12-24T09:06:55Z","title_canon_sha256":"cf7f732b66563632d2d5fd03727e43ff11df0c89365780edce2cd1f9ec9e5c28"},"schema_version":"1.0","source":{"id":"1512.08433","kind":"arxiv","version":1}},"canonical_sha256":"fb2a9ea9930316601a53f0d3f766ba52201189f99c1c49aaf5f026d5866fcda8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2a9ea9930316601a53f0d3f766ba52201189f99c1c49aaf5f026d5866fcda8","first_computed_at":"2026-05-18T01:23:42.320152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:42.320152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gponFX+eQZJXOvXJ9p3wsB28yGRNljT3bmsmViixN+3kd2xQViqOLHR6V+unNNAw8Sp2595vD+VWUlU1UdIoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:42.320631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08433","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cf78e71f8a6af63518ac360562ac9cad246ced2d20104a9edb43c74a208a0ab","sha256:6e143885d6b1ff261eca3e06db102e18daba031057eb74dec9afff9a1c876e4b"],"state_sha256":"c2c55e2a56f8a9aae2b3f208074c0221d1e3a26b9e6d83896c324805c0fd40a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QuNiFCzTKY8cD60rpaI6fgi8jnAYJFye6O4oJEUtInHQdgCUpOBG95g8ZBm6KpyJy9CKUAMJ1frffM1N/RxnBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T00:06:29.963956Z","bundle_sha256":"d461a3248c01a6ae5f82dc0faa742e105ee6f14f436622bd7ef0f71474ad0bcc"}}