{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4CNI4Q24XS3MC3M2MM6756PEFK","short_pith_number":"pith:4CNI4Q24","canonical_record":{"source":{"id":"1411.3081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-12T06:14:25Z","cross_cats_sorted":[],"title_canon_sha256":"9f33f9434bf4f7c837001c7d6c28fbb1ed928d54851a71906a71c2384da73081","abstract_canon_sha256":"5b0e7af924dd5ee3b2b12af647a751ba95a7efa1e3f268fc688e2c5e5d940fed"},"schema_version":"1.0"},"canonical_sha256":"e09a8e435cbcb6c16d9a633dfef9e42a8431e28ff21159f230965d3fd270ce03","source":{"kind":"arxiv","id":"1411.3081","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3081","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3081v2","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3081","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"4CNI4Q24XS3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4CNI4Q24XS3MC3M2","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4CNI4Q24","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4CNI4Q24XS3MC3M2MM6756PEFK","target":"record","payload":{"canonical_record":{"source":{"id":"1411.3081","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-12T06:14:25Z","cross_cats_sorted":[],"title_canon_sha256":"9f33f9434bf4f7c837001c7d6c28fbb1ed928d54851a71906a71c2384da73081","abstract_canon_sha256":"5b0e7af924dd5ee3b2b12af647a751ba95a7efa1e3f268fc688e2c5e5d940fed"},"schema_version":"1.0"},"canonical_sha256":"e09a8e435cbcb6c16d9a633dfef9e42a8431e28ff21159f230965d3fd270ce03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:22.339359Z","signature_b64":"FU4xtRpFrABPUZ9QPSw+A0JINrRXyq+iFfZExb/aZJ7mej66L7T6umYjnmho1TwVjjVml3gRveaRYgVM8JViAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e09a8e435cbcb6c16d9a633dfef9e42a8431e28ff21159f230965d3fd270ce03","last_reissued_at":"2026-05-18T01:20:22.338585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:22.338585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.3081","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":"2026-05-18T01:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TsKEyhbJ6XlsXaxrthFsZEbBhCg2rbAJXlWuucQl7m+kUqjaAAZCF/GvKQdVy3bPiZ8jmmfuF1gI+dbwWBLxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:50:02.289207Z"},"content_sha256":"1b7dd343d90d04dc118530f9f3045b45d2cc7ea4e57fa3026df97edd3816f734","schema_version":"1.0","event_id":"sha256:1b7dd343d90d04dc118530f9f3045b45d2cc7ea4e57fa3026df97edd3816f734"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4CNI4Q24XS3MC3M2MM6756PEFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-similarity for the tricorn","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Hiroyuki Inou","submitted_at":"2014-11-12T06:14:25Z","abstract_excerpt":"We discuss self-similar property of the tricorn, the connectedness locus of the anti-holomorphic quadratic family. As a direct consequence of the study on straightening maps by Kiwi and the author, we show that there are many homeomorphic copies of the Mandelbrot sets. With help of rigorous numerical computation, we also prove that the straightening map is not continuous for the candidate of a \"baby tricorn\" centered at the airplane, hence not a homeomorphism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3081","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":"2026-05-18T01:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xogUsC+WovOaIqgb3vKN0stAKrxYuxHhOwJiVjpuHzo9d09cswE4e6NRfSuQLbHPNkQx6a279bXaaPcuioNlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:50:02.289799Z"},"content_sha256":"ec2c56c375f1cfb303d9a9843b90795f7774d6f5ec25c42b05c9a14459641a77","schema_version":"1.0","event_id":"sha256:ec2c56c375f1cfb303d9a9843b90795f7774d6f5ec25c42b05c9a14459641a77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CNI4Q24XS3MC3M2MM6756PEFK/bundle.json","state_url":"https://pith.science/pith/4CNI4Q24XS3MC3M2MM6756PEFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CNI4Q24XS3MC3M2MM6756PEFK/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":"2026-07-01T00:50:02Z","links":{"resolver":"https://pith.science/pith/4CNI4Q24XS3MC3M2MM6756PEFK","bundle":"https://pith.science/pith/4CNI4Q24XS3MC3M2MM6756PEFK/bundle.json","state":"https://pith.science/pith/4CNI4Q24XS3MC3M2MM6756PEFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CNI4Q24XS3MC3M2MM6756PEFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4CNI4Q24XS3MC3M2MM6756PEFK","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":"5b0e7af924dd5ee3b2b12af647a751ba95a7efa1e3f268fc688e2c5e5d940fed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-12T06:14:25Z","title_canon_sha256":"9f33f9434bf4f7c837001c7d6c28fbb1ed928d54851a71906a71c2384da73081"},"schema_version":"1.0","source":{"id":"1411.3081","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3081","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3081v2","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3081","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"4CNI4Q24XS3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4CNI4Q24XS3MC3M2","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4CNI4Q24","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:ec2c56c375f1cfb303d9a9843b90795f7774d6f5ec25c42b05c9a14459641a77","target":"graph","created_at":"2026-05-18T01:20:22Z","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 discuss self-similar property of the tricorn, the connectedness locus of the anti-holomorphic quadratic family. As a direct consequence of the study on straightening maps by Kiwi and the author, we show that there are many homeomorphic copies of the Mandelbrot sets. With help of rigorous numerical computation, we also prove that the straightening map is not continuous for the candidate of a \"baby tricorn\" centered at the airplane, hence not a homeomorphism.","authors_text":"Hiroyuki Inou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-12T06:14:25Z","title":"Self-similarity for the tricorn"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3081","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":"sha256:1b7dd343d90d04dc118530f9f3045b45d2cc7ea4e57fa3026df97edd3816f734","target":"record","created_at":"2026-05-18T01:20:22Z","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":"5b0e7af924dd5ee3b2b12af647a751ba95a7efa1e3f268fc688e2c5e5d940fed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-12T06:14:25Z","title_canon_sha256":"9f33f9434bf4f7c837001c7d6c28fbb1ed928d54851a71906a71c2384da73081"},"schema_version":"1.0","source":{"id":"1411.3081","kind":"arxiv","version":2}},"canonical_sha256":"e09a8e435cbcb6c16d9a633dfef9e42a8431e28ff21159f230965d3fd270ce03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e09a8e435cbcb6c16d9a633dfef9e42a8431e28ff21159f230965d3fd270ce03","first_computed_at":"2026-05-18T01:20:22.338585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:22.338585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FU4xtRpFrABPUZ9QPSw+A0JINrRXyq+iFfZExb/aZJ7mej66L7T6umYjnmho1TwVjjVml3gRveaRYgVM8JViAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:22.339359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3081","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b7dd343d90d04dc118530f9f3045b45d2cc7ea4e57fa3026df97edd3816f734","sha256:ec2c56c375f1cfb303d9a9843b90795f7774d6f5ec25c42b05c9a14459641a77"],"state_sha256":"cf81a613903491b4e9252c0b45aa9ab012b37d816a3d3c232c13c5a8829856f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HK24xD3b8VPKjQLuqYBcgrH7e5x117ArchhM+VvV5DfrCwJd3wcgrOeFE/gTuG3xrMGEvVOqrXfRrOLipPItBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T00:50:02.292661Z","bundle_sha256":"208330eb3865ecffa6e2b9e1f7fafc65d117b719b5d1fa4534324478509926c8"}}