{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2Y6X2I6F4YPTBS5IOZ6TUYV7VF","short_pith_number":"pith:2Y6X2I6F","canonical_record":{"source":{"id":"1412.7607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-24T05:57:32Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"fa46ad3788b8036eb737cd75d3320e5ad98c87065dd45d1ab7f6a93ba89fe2bc","abstract_canon_sha256":"cb306422c3a917ee31980b39e0326e7de9d4a530c16a4b720d5532c4d7d8afd8"},"schema_version":"1.0"},"canonical_sha256":"d63d7d23c5e61f30cba8767d3a62bfa96ea0d4b723311ae400826e2a79a7a58c","source":{"kind":"arxiv","id":"1412.7607","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7607","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7607v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7607","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"2Y6X2I6F4YPT","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2Y6X2I6F4YPTBS5I","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2Y6X2I6F","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2Y6X2I6F4YPTBS5IOZ6TUYV7VF","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-24T05:57:32Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"fa46ad3788b8036eb737cd75d3320e5ad98c87065dd45d1ab7f6a93ba89fe2bc","abstract_canon_sha256":"cb306422c3a917ee31980b39e0326e7de9d4a530c16a4b720d5532c4d7d8afd8"},"schema_version":"1.0"},"canonical_sha256":"d63d7d23c5e61f30cba8767d3a62bfa96ea0d4b723311ae400826e2a79a7a58c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:33.418436Z","signature_b64":"r0B3j76HNg+Pzyj+845//5iNSeoWhWcz9eBpqsUbeG39CO/K4sxL5LEQHgBRaBibwEQHpGEaN9kdUjNlxBr3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d63d7d23c5e61f30cba8767d3a62bfa96ea0d4b723311ae400826e2a79a7a58c","last_reissued_at":"2026-05-18T02:30:33.418011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:33.418011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7607","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":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GkDBAb8v8ZulaOHFKw0R5lIJ/jN5lCtfhxXGkf2re6ff3FOmfzrQj8UBpKkKZ5PZ1L1MeSOD3DJ6PTlsPL2FDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:44:28.353251Z"},"content_sha256":"d1dba1500a3d492a1d180fa1c4d849519a00123d72e88417bc35ec80b73eb29a","schema_version":"1.0","event_id":"sha256:d1dba1500a3d492a1d180fa1c4d849519a00123d72e88417bc35ec80b73eb29a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2Y6X2I6F4YPTBS5IOZ6TUYV7VF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of the monodromies of the fibrations on the magic 3-manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin","submitted_at":"2014-12-24T05:57:32Z","abstract_excerpt":"We study the magic manifold $N$ which is a hyperbolic and fibered $3$-manifold. We give an explicit construction of a fiber $F_a$ and its monodromy $:F_a \\rightarrow F_a$ of the fibration associated to each fibered class $a$ of $N$. Let $\\delta_g$ (resp. $\\delta_g^+$) be the minimal dilatation of pseudo-Anosovs (resp. pseudo-Anosovs with orientable invariant foliations) defined on an orientable closed surface of genus $g$. As a consequence of our result, we obtain the first explicit construction of the following pseudo-Anosovs; a minimizer of $\\delta_7^+$ and conjectural minimizers of $\\delta_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7607","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":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l9cMetfWT8IeUbxCpq1cdqUXcd1Kz9EIsVZ9I7CUj8Y5R46AYeiYkUzyFhRHy5T3HP8lB2x+YsM+OXT9gT1GCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:44:28.353601Z"},"content_sha256":"97a410ba3f25707aeebc1fe31635b2a0e8297b7ef8ff49f0d5b3ed77bcc3efc5","schema_version":"1.0","event_id":"sha256:97a410ba3f25707aeebc1fe31635b2a0e8297b7ef8ff49f0d5b3ed77bcc3efc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/bundle.json","state_url":"https://pith.science/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/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":"2026-06-27T05:44:28Z","links":{"resolver":"https://pith.science/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF","bundle":"https://pith.science/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/bundle.json","state":"https://pith.science/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2Y6X2I6F4YPTBS5IOZ6TUYV7VF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2Y6X2I6F4YPTBS5IOZ6TUYV7VF","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":"cb306422c3a917ee31980b39e0326e7de9d4a530c16a4b720d5532c4d7d8afd8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-24T05:57:32Z","title_canon_sha256":"fa46ad3788b8036eb737cd75d3320e5ad98c87065dd45d1ab7f6a93ba89fe2bc"},"schema_version":"1.0","source":{"id":"1412.7607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7607","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7607v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7607","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"2Y6X2I6F4YPT","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2Y6X2I6F4YPTBS5I","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2Y6X2I6F","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:97a410ba3f25707aeebc1fe31635b2a0e8297b7ef8ff49f0d5b3ed77bcc3efc5","target":"graph","created_at":"2026-05-18T02:30:33Z","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 magic manifold $N$ which is a hyperbolic and fibered $3$-manifold. We give an explicit construction of a fiber $F_a$ and its monodromy $:F_a \\rightarrow F_a$ of the fibration associated to each fibered class $a$ of $N$. Let $\\delta_g$ (resp. $\\delta_g^+$) be the minimal dilatation of pseudo-Anosovs (resp. pseudo-Anosovs with orientable invariant foliations) defined on an orientable closed surface of genus $g$. As a consequence of our result, we obtain the first explicit construction of the following pseudo-Anosovs; a minimizer of $\\delta_7^+$ and conjectural minimizers of $\\delta_","authors_text":"Eiko Kin","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-24T05:57:32Z","title":"Dynamics of the monodromies of the fibrations on the magic 3-manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7607","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:d1dba1500a3d492a1d180fa1c4d849519a00123d72e88417bc35ec80b73eb29a","target":"record","created_at":"2026-05-18T02:30:33Z","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":"cb306422c3a917ee31980b39e0326e7de9d4a530c16a4b720d5532c4d7d8afd8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-24T05:57:32Z","title_canon_sha256":"fa46ad3788b8036eb737cd75d3320e5ad98c87065dd45d1ab7f6a93ba89fe2bc"},"schema_version":"1.0","source":{"id":"1412.7607","kind":"arxiv","version":1}},"canonical_sha256":"d63d7d23c5e61f30cba8767d3a62bfa96ea0d4b723311ae400826e2a79a7a58c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d63d7d23c5e61f30cba8767d3a62bfa96ea0d4b723311ae400826e2a79a7a58c","first_computed_at":"2026-05-18T02:30:33.418011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.418011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r0B3j76HNg+Pzyj+845//5iNSeoWhWcz9eBpqsUbeG39CO/K4sxL5LEQHgBRaBibwEQHpGEaN9kdUjNlxBr3Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.418436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1dba1500a3d492a1d180fa1c4d849519a00123d72e88417bc35ec80b73eb29a","sha256:97a410ba3f25707aeebc1fe31635b2a0e8297b7ef8ff49f0d5b3ed77bcc3efc5"],"state_sha256":"7055b42de6296c00f49e30def9d8ae34558fdd1df72f488553762a39ffb7d15d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8+0H0uFSaG0gtQUz4VTk6h29h5Ts5JanJ2dmD9F0tBU90Eta40FP3TVm8/R79Y9OYcKdQ5FCNSSIzFDTWX+FCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T05:44:28.355392Z","bundle_sha256":"390f5d7bdc3872c0c896f40e0f674edbeef2c3bf29a2a5524297de7a0fb938b3"}}