{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:35VMRDZ3YXGQS35IAPQQ2EFC4W","short_pith_number":"pith:35VMRDZ3","canonical_record":{"source":{"id":"1410.0591","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-02T15:50:13Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1d1d3f21f93bba45c614f6ed543d77f5dac79a64f30f4b4375bc10d9635ff0a8","abstract_canon_sha256":"4528be0b14e9cf631e2607feadd200fbae666659135e99a9c55a2bdd32a74faa"},"schema_version":"1.0"},"canonical_sha256":"df6ac88f3bc5cd096fa803e10d10a2e59083f869e6960c3b056a124f1a0452e2","source":{"kind":"arxiv","id":"1410.0591","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0591","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0591v2","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0591","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"pith_short_12","alias_value":"35VMRDZ3YXGQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"35VMRDZ3YXGQS35I","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"35VMRDZ3","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:35VMRDZ3YXGQS35IAPQQ2EFC4W","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0591","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-02T15:50:13Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1d1d3f21f93bba45c614f6ed543d77f5dac79a64f30f4b4375bc10d9635ff0a8","abstract_canon_sha256":"4528be0b14e9cf631e2607feadd200fbae666659135e99a9c55a2bdd32a74faa"},"schema_version":"1.0"},"canonical_sha256":"df6ac88f3bc5cd096fa803e10d10a2e59083f869e6960c3b056a124f1a0452e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:28.186685Z","signature_b64":"JvNUY+g235LeIesHyleKKa9iLNlVWssHqWkIBZzQHpW9K6PHLg2OSCTWdhcUtEXLgMSZ1Jnxvr3MALmYVYf0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df6ac88f3bc5cd096fa803e10d10a2e59083f869e6960c3b056a124f1a0452e2","last_reissued_at":"2026-05-18T02:19:28.185962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:28.185962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0591","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":"2026-05-18T02:19:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLz3R7T/EizBi+r9IKutR48hEq1Z/GwQ6dbP/T0czb1+KZnBDqeCTh5Qv9aUbTYjuqgJSFaD0yo6w9gA/bJwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:25:50.645800Z"},"content_sha256":"7ea3a2c3dea06db6244fee76b49f14b3b32130e02dc4b7455653fd910ee99e99","schema_version":"1.0","event_id":"sha256:7ea3a2c3dea06db6244fee76b49f14b3b32130e02dc4b7455653fd910ee99e99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:35VMRDZ3YXGQS35IAPQQ2EFC4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-archimedean connected Julia sets with branching","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.DS","authors_text":"Darius Onul, Dvij Bajpai, Edward Kim, Owen Marschall, Robert L. Benedetto, Ruqian Chen, Yang Xiao","submitted_at":"2014-10-02T15:50:13Z","abstract_excerpt":"We construct the first examples of rational functions defined over a non-archimedean field with certain dynamical properties. In particular, we find such functions whose Julia sets, in the Berkovich projective line, are connected but not contained in a line segment. We also show how to compute the measure-theoretic and topological entropy of such maps. In particular, we show for some of our examples that the measure-theoretic entropy is strictly smaller than the topological entropy, thus answering a question of Favre and Rivera-Letelier."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0591","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":"2026-05-18T02:19:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBYRob7Sd/UlH894f9CLff2MXRq9sLVnYbs9V7y6wpLAVfga93Dsem0kEHCLjv3B9uTIsme1zvFfiu6PhrKQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:25:50.646511Z"},"content_sha256":"c15579c725a00fcb15b3aec47c7d6903bf54427e2803025e836e9aadab535e14","schema_version":"1.0","event_id":"sha256:c15579c725a00fcb15b3aec47c7d6903bf54427e2803025e836e9aadab535e14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/bundle.json","state_url":"https://pith.science/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/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":"2026-06-08T19:25:50Z","links":{"resolver":"https://pith.science/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W","bundle":"https://pith.science/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/bundle.json","state":"https://pith.science/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/35VMRDZ3YXGQS35IAPQQ2EFC4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:35VMRDZ3YXGQS35IAPQQ2EFC4W","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":"4528be0b14e9cf631e2607feadd200fbae666659135e99a9c55a2bdd32a74faa","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-02T15:50:13Z","title_canon_sha256":"1d1d3f21f93bba45c614f6ed543d77f5dac79a64f30f4b4375bc10d9635ff0a8"},"schema_version":"1.0","source":{"id":"1410.0591","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0591","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0591v2","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0591","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"pith_short_12","alias_value":"35VMRDZ3YXGQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"35VMRDZ3YXGQS35I","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"35VMRDZ3","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:c15579c725a00fcb15b3aec47c7d6903bf54427e2803025e836e9aadab535e14","target":"graph","created_at":"2026-05-18T02:19:28Z","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 construct the first examples of rational functions defined over a non-archimedean field with certain dynamical properties. In particular, we find such functions whose Julia sets, in the Berkovich projective line, are connected but not contained in a line segment. We also show how to compute the measure-theoretic and topological entropy of such maps. In particular, we show for some of our examples that the measure-theoretic entropy is strictly smaller than the topological entropy, thus answering a question of Favre and Rivera-Letelier.","authors_text":"Darius Onul, Dvij Bajpai, Edward Kim, Owen Marschall, Robert L. Benedetto, Ruqian Chen, Yang Xiao","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-02T15:50:13Z","title":"Non-archimedean connected Julia sets with branching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0591","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":"sha256:7ea3a2c3dea06db6244fee76b49f14b3b32130e02dc4b7455653fd910ee99e99","target":"record","created_at":"2026-05-18T02:19:28Z","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":"4528be0b14e9cf631e2607feadd200fbae666659135e99a9c55a2bdd32a74faa","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-02T15:50:13Z","title_canon_sha256":"1d1d3f21f93bba45c614f6ed543d77f5dac79a64f30f4b4375bc10d9635ff0a8"},"schema_version":"1.0","source":{"id":"1410.0591","kind":"arxiv","version":2}},"canonical_sha256":"df6ac88f3bc5cd096fa803e10d10a2e59083f869e6960c3b056a124f1a0452e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df6ac88f3bc5cd096fa803e10d10a2e59083f869e6960c3b056a124f1a0452e2","first_computed_at":"2026-05-18T02:19:28.185962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:28.185962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JvNUY+g235LeIesHyleKKa9iLNlVWssHqWkIBZzQHpW9K6PHLg2OSCTWdhcUtEXLgMSZ1Jnxvr3MALmYVYf0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:28.186685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0591","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ea3a2c3dea06db6244fee76b49f14b3b32130e02dc4b7455653fd910ee99e99","sha256:c15579c725a00fcb15b3aec47c7d6903bf54427e2803025e836e9aadab535e14"],"state_sha256":"71d9e24b84fb7c3a872087e064210f8b9d16a1dc9256115dc11a631c621d5f64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BD7YjqkLE5pvUWFqITKEF6YdXkQJMkBqriR5fBaPayyeVaywrJwolrbwAPTTbwQinR5ja4N7cTp8fmQWu2NGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:25:50.650982Z","bundle_sha256":"90ff12a5205ed4cd15ecbff1c7dc2e89c13ae34b7fae3defbe6138b7c23b0efb"}}