{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6U7RTDKNKEA2SKISRNOR4KDD27","short_pith_number":"pith:6U7RTDKN","canonical_record":{"source":{"id":"1502.05109","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-02-18T03:45:01Z","cross_cats_sorted":[],"title_canon_sha256":"3e9d6da81efce49eba72f1f537d21ab4ed17a253910e8ebafd3acf42a2478a3e","abstract_canon_sha256":"648bbe3ca660764dc3c90f7b9a48814c067b06449a117151f6d0bdb4a10b7c35"},"schema_version":"1.0"},"canonical_sha256":"f53f198d4d5101a929128b5d1e2863d7fad3e3616e2a25c1f6bfa1ea04d9301d","source":{"kind":"arxiv","id":"1502.05109","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05109","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05109v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05109","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"6U7RTDKNKEA2","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6U7RTDKNKEA2SKIS","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6U7RTDKN","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6U7RTDKNKEA2SKISRNOR4KDD27","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05109","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-02-18T03:45:01Z","cross_cats_sorted":[],"title_canon_sha256":"3e9d6da81efce49eba72f1f537d21ab4ed17a253910e8ebafd3acf42a2478a3e","abstract_canon_sha256":"648bbe3ca660764dc3c90f7b9a48814c067b06449a117151f6d0bdb4a10b7c35"},"schema_version":"1.0"},"canonical_sha256":"f53f198d4d5101a929128b5d1e2863d7fad3e3616e2a25c1f6bfa1ea04d9301d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:52.373767Z","signature_b64":"zNO5SZFeqvpB/cKq2wY0Wm1NGt5ZHap4YmtoRknO54lgnFcBDin9EQZ6AeaJEEfGfVHcfUKw54ovpDlRQrjrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f53f198d4d5101a929128b5d1e2863d7fad3e3616e2a25c1f6bfa1ea04d9301d","last_reissued_at":"2026-05-18T02:26:52.373361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:52.373361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05109","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"en1GxBbOiBb3UmmWlVDoLn0GpmjTGZIMkO4ZFXiaSwC3KoMJJEWWcqyY3fyhJkgk3+CANlwhwDVrV29nBYZlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:52:57.840831Z"},"content_sha256":"2d1d30b8cf9ee4838f08e9274c0df23436b275146663beaebe83695e722f70dc","schema_version":"1.0","event_id":"sha256:2d1d30b8cf9ee4838f08e9274c0df23436b275146663beaebe83695e722f70dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6U7RTDKNKEA2SKISRNOR4KDD27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A not metrizable space filled with any n mutually disjoint self-similar spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto","submitted_at":"2015-02-18T03:45:01Z","abstract_excerpt":"A Lambda (Card Lambda > aleph)-product space of {0,1} has a partition {X1,...,Xn} for any n a decomposition space of each Xi of which is self-similar.(February 16, 2015)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05109","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HL6GSOEDQa2t0AQzaVS0d8f15GaqOARAjwOJ9F1Nb+Tc5TAxRuWsFJjMxmi117UdFJepaYw742Eoqh8kp8TnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:52:57.841341Z"},"content_sha256":"2d6d18e57d3d5993b2357931d53645337fc80cf4c3252cf87fa8a6bd9c21cae5","schema_version":"1.0","event_id":"sha256:2d6d18e57d3d5993b2357931d53645337fc80cf4c3252cf87fa8a6bd9c21cae5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6U7RTDKNKEA2SKISRNOR4KDD27/bundle.json","state_url":"https://pith.science/pith/6U7RTDKNKEA2SKISRNOR4KDD27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6U7RTDKNKEA2SKISRNOR4KDD27/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":"2026-06-08T13:52:57Z","links":{"resolver":"https://pith.science/pith/6U7RTDKNKEA2SKISRNOR4KDD27","bundle":"https://pith.science/pith/6U7RTDKNKEA2SKISRNOR4KDD27/bundle.json","state":"https://pith.science/pith/6U7RTDKNKEA2SKISRNOR4KDD27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6U7RTDKNKEA2SKISRNOR4KDD27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6U7RTDKNKEA2SKISRNOR4KDD27","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":"648bbe3ca660764dc3c90f7b9a48814c067b06449a117151f6d0bdb4a10b7c35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-02-18T03:45:01Z","title_canon_sha256":"3e9d6da81efce49eba72f1f537d21ab4ed17a253910e8ebafd3acf42a2478a3e"},"schema_version":"1.0","source":{"id":"1502.05109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05109","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05109v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05109","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"6U7RTDKNKEA2","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6U7RTDKNKEA2SKIS","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6U7RTDKN","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:2d6d18e57d3d5993b2357931d53645337fc80cf4c3252cf87fa8a6bd9c21cae5","target":"graph","created_at":"2026-05-18T02:26:52Z","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 Lambda (Card Lambda > aleph)-product space of {0,1} has a partition {X1,...,Xn} for any n a decomposition space of each Xi of which is self-similar.(February 16, 2015)","authors_text":"Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-02-18T03:45:01Z","title":"A not metrizable space filled with any n mutually disjoint self-similar spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05109","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":"sha256:2d1d30b8cf9ee4838f08e9274c0df23436b275146663beaebe83695e722f70dc","target":"record","created_at":"2026-05-18T02:26:52Z","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":"648bbe3ca660764dc3c90f7b9a48814c067b06449a117151f6d0bdb4a10b7c35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-02-18T03:45:01Z","title_canon_sha256":"3e9d6da81efce49eba72f1f537d21ab4ed17a253910e8ebafd3acf42a2478a3e"},"schema_version":"1.0","source":{"id":"1502.05109","kind":"arxiv","version":1}},"canonical_sha256":"f53f198d4d5101a929128b5d1e2863d7fad3e3616e2a25c1f6bfa1ea04d9301d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f53f198d4d5101a929128b5d1e2863d7fad3e3616e2a25c1f6bfa1ea04d9301d","first_computed_at":"2026-05-18T02:26:52.373361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:52.373361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zNO5SZFeqvpB/cKq2wY0Wm1NGt5ZHap4YmtoRknO54lgnFcBDin9EQZ6AeaJEEfGfVHcfUKw54ovpDlRQrjrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:52.373767Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d1d30b8cf9ee4838f08e9274c0df23436b275146663beaebe83695e722f70dc","sha256:2d6d18e57d3d5993b2357931d53645337fc80cf4c3252cf87fa8a6bd9c21cae5"],"state_sha256":"9199e711ff0f35ad9a7c008e5421d4325b34da49cd1b06fa62ab1f79edeba832"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fAqVlPEMRbnC5VSahUoJhThR6m71z1igLyalHaFw9WWHH1o0lVewhZZT4UPO2a8caUPcVHt9PA4tElumySrnBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:52:57.844011Z","bundle_sha256":"2581bea0f22b6b3b7fff056a1b6f59cc961a3c5d5d6aca4bedd59fffe20168f8"}}