{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FEGJ52H2ZYBPDTWRVIG6D74IMX","short_pith_number":"pith:FEGJ52H2","canonical_record":{"source":{"id":"1305.4621","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-05-20T19:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"3604430e29739e3af7fe66012a08cf79d4a4969fb9ee9ede065366cc34e97bc9","abstract_canon_sha256":"7a1427ec3fe28827615513a094ca0311e511f43ec3e140b7a98e9a8511066961"},"schema_version":"1.0"},"canonical_sha256":"290c9ee8face02f1ced1aa0de1ff8865fe38d921097b02aec2d5626391a00682","source":{"kind":"arxiv","id":"1305.4621","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4621","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4621v1","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4621","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"FEGJ52H2ZYBP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FEGJ52H2ZYBPDTWR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FEGJ52H2","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FEGJ52H2ZYBPDTWRVIG6D74IMX","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4621","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-05-20T19:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"3604430e29739e3af7fe66012a08cf79d4a4969fb9ee9ede065366cc34e97bc9","abstract_canon_sha256":"7a1427ec3fe28827615513a094ca0311e511f43ec3e140b7a98e9a8511066961"},"schema_version":"1.0"},"canonical_sha256":"290c9ee8face02f1ced1aa0de1ff8865fe38d921097b02aec2d5626391a00682","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:16.554645Z","signature_b64":"k8jfV/wNtYu5AjU4OPjfAupD9HqF++zwqaCFgwIMDXs7kth0kdUfz4vudoftha8x0gaICd1Mt09T1uYEGXWgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"290c9ee8face02f1ced1aa0de1ff8865fe38d921097b02aec2d5626391a00682","last_reissued_at":"2026-05-18T03:25:16.554138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:16.554138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4621","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":"2026-05-18T03:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JMUYpOT2al5FEEIKxiK1iFcvzE0CygD6WKlFES7D8pqvoZ+6NSt6u66K5XizLICcR/gzp60soLLLpzu8sz1PDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:16:19.098821Z"},"content_sha256":"199fd823209cef628a57a7b3de0501bcadae7d82cb2a268c5369ae2de1021000","schema_version":"1.0","event_id":"sha256:199fd823209cef628a57a7b3de0501bcadae7d82cb2a268c5369ae2de1021000"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FEGJ52H2ZYBPDTWRVIG6D74IMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Henk Bruin, Sonja Stimac","submitted_at":"2013-05-20T19:53:29Z","abstract_excerpt":"We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce certain chains that enable a more detailed analysis of symmetric arcs within this space than is possible in the general case. We show that link-symmetric arcs are always symmetric or a well-understood concatenation of quasi-symmetric arcs. This leads to the proof of the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4621","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":"2026-05-18T03:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0aBNa5xZ+x+KTJ0wp+0Bs2+tjj1AqP78+obUlgT7XdDPgN9CfsowAakJrs96trThHxbJGYyinXr2T/bS6Nj1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:16:19.099222Z"},"content_sha256":"7e41a99e38816c43f57d23c0c0a5a2951f73e008f93d1d9ce24b9e70fe135a6b","schema_version":"1.0","event_id":"sha256:7e41a99e38816c43f57d23c0c0a5a2951f73e008f93d1d9ce24b9e70fe135a6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/bundle.json","state_url":"https://pith.science/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/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":"2026-06-24T09:16:19Z","links":{"resolver":"https://pith.science/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX","bundle":"https://pith.science/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/bundle.json","state":"https://pith.science/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FEGJ52H2ZYBPDTWRVIG6D74IMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FEGJ52H2ZYBPDTWRVIG6D74IMX","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":"7a1427ec3fe28827615513a094ca0311e511f43ec3e140b7a98e9a8511066961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-05-20T19:53:29Z","title_canon_sha256":"3604430e29739e3af7fe66012a08cf79d4a4969fb9ee9ede065366cc34e97bc9"},"schema_version":"1.0","source":{"id":"1305.4621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4621","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4621v1","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4621","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"FEGJ52H2ZYBP","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FEGJ52H2ZYBPDTWR","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FEGJ52H2","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:7e41a99e38816c43f57d23c0c0a5a2951f73e008f93d1d9ce24b9e70fe135a6b","target":"graph","created_at":"2026-05-18T03:25:16Z","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 study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce certain chains that enable a more detailed analysis of symmetric arcs within this space than is possible in the general case. We show that link-symmetric arcs are always symmetric or a well-understood concatenation of quasi-symmetric arcs. This leads to the proof of the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits.","authors_text":"Henk Bruin, Sonja Stimac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-05-20T19:53:29Z","title":"Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4621","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":"sha256:199fd823209cef628a57a7b3de0501bcadae7d82cb2a268c5369ae2de1021000","target":"record","created_at":"2026-05-18T03:25:16Z","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":"7a1427ec3fe28827615513a094ca0311e511f43ec3e140b7a98e9a8511066961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-05-20T19:53:29Z","title_canon_sha256":"3604430e29739e3af7fe66012a08cf79d4a4969fb9ee9ede065366cc34e97bc9"},"schema_version":"1.0","source":{"id":"1305.4621","kind":"arxiv","version":1}},"canonical_sha256":"290c9ee8face02f1ced1aa0de1ff8865fe38d921097b02aec2d5626391a00682","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"290c9ee8face02f1ced1aa0de1ff8865fe38d921097b02aec2d5626391a00682","first_computed_at":"2026-05-18T03:25:16.554138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:16.554138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8jfV/wNtYu5AjU4OPjfAupD9HqF++zwqaCFgwIMDXs7kth0kdUfz4vudoftha8x0gaICd1Mt09T1uYEGXWgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:16.554645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:199fd823209cef628a57a7b3de0501bcadae7d82cb2a268c5369ae2de1021000","sha256:7e41a99e38816c43f57d23c0c0a5a2951f73e008f93d1d9ce24b9e70fe135a6b"],"state_sha256":"4092e1cc284b8e31fe06392665fd5743b990bcf5b1a4245297239bc55d24922a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1IqCqh09Yqo1pMSbeGwsjrsEJBw9HWQxMQT6hj6MZfiYzrOuCrz43cUAm6IUCwgyaXApj39FRaO3TtUSN2hsDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:16:19.101463Z","bundle_sha256":"b695492dcd08900f918c3cad9a3211729010e95b6bfca9857e17e99ea448c033"}}