{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XJZV56UVY2UE3CYY3PBOXTXQT2","short_pith_number":"pith:XJZV56UV","canonical_record":{"source":{"id":"1104.3939","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"acda8c65f919ba75e4275943c5b565027bccaa7889e811bfdf3e096bd1d0ac64","abstract_canon_sha256":"303bb016baff47a51cac26ca2a60ede7849f314b5490188f8e640a94dcfdfd2d"},"schema_version":"1.0"},"canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","source":{"kind":"arxiv","id":"1104.3939","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3939","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3939v3","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3939","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"XJZV56UVY2UE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XJZV56UVY2UE3CYY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XJZV56UV","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XJZV56UVY2UE3CYY3PBOXTXQT2","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3939","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"acda8c65f919ba75e4275943c5b565027bccaa7889e811bfdf3e096bd1d0ac64","abstract_canon_sha256":"303bb016baff47a51cac26ca2a60ede7849f314b5490188f8e640a94dcfdfd2d"},"schema_version":"1.0"},"canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:50.531701Z","signature_b64":"Bnl4B+X2EX7TkPltWUtH7Fml+iCtDU0ui0tyHeDy7G+fvLY2am4lLoELjUhHVGnT6LxzrWD64YwoihC/1KaWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","last_reissued_at":"2026-05-18T02:41:50.531177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:50.531177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3939","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tLjHj0okeQsgbFfTsfZ5xPJp3QwijCWJjXyKutOejSGjfb7JK/7AvMMuUnqea9GNXvhPvkzWmJQ4/EbnfBovAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:41:42.118835Z"},"content_sha256":"04021b379687b5c94cbfb6af5ed9928c408d98919be5cacaa859ad6713ef8a59","schema_version":"1.0","event_id":"sha256:04021b379687b5c94cbfb6af5ed9928c408d98919be5cacaa859ad6713ef8a59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XJZV56UVY2UE3CYY3PBOXTXQT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa, Sadayoshi Kojima","submitted_at":"2011-04-20T05:16:54Z","abstract_excerpt":"This paper concerns the set $\\hat{\\mathcal{M}}$ of pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the magic 3-manifold $N$ by Dehn filling three cusps with a mild restriction. We prove that for each $g$ (resp. $g \\not\\equiv 0 \\pmod{6}$), the minimum among dilatations of elements (resp. elements with orientable invariant foliations) of $\\hat{\\mathcal{M}}$ defined on a closed surface $\\varSigma_g$ of genus $g$ is achieved by the monodromy of some $\\varSigma_g$-bundle over the circle obtained from $N(\\tfrac{3}{-2})$ or $N(\\tfrac{1}{-2})$ by Dehn filling two cus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3939","kind":"arxiv","version":3},"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":"2026-05-18T02:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eZr+yxSjn/Xg58KBuaUkYt8W/ZH3v0nGPc0a+q11ZLnPGGxqnEWszgbMcZKXlKKtFlXGlzVqbjSO1DhMdeaHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:41:42.119187Z"},"content_sha256":"e9312ef57beb773da5d2c817c5e0d6b9f795481b52afc7040f5abde6acb00d62","schema_version":"1.0","event_id":"sha256:e9312ef57beb773da5d2c817c5e0d6b9f795481b52afc7040f5abde6acb00d62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/bundle.json","state_url":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/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":"2026-06-01T18:41:42Z","links":{"resolver":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2","bundle":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/bundle.json","state":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XJZV56UVY2UE3CYY3PBOXTXQT2","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":"303bb016baff47a51cac26ca2a60ede7849f314b5490188f8e640a94dcfdfd2d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","title_canon_sha256":"acda8c65f919ba75e4275943c5b565027bccaa7889e811bfdf3e096bd1d0ac64"},"schema_version":"1.0","source":{"id":"1104.3939","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3939","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3939v3","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3939","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"XJZV56UVY2UE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XJZV56UVY2UE3CYY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XJZV56UV","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:e9312ef57beb773da5d2c817c5e0d6b9f795481b52afc7040f5abde6acb00d62","target":"graph","created_at":"2026-05-18T02:41:50Z","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":"This paper concerns the set $\\hat{\\mathcal{M}}$ of pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the magic 3-manifold $N$ by Dehn filling three cusps with a mild restriction. We prove that for each $g$ (resp. $g \\not\\equiv 0 \\pmod{6}$), the minimum among dilatations of elements (resp. elements with orientable invariant foliations) of $\\hat{\\mathcal{M}}$ defined on a closed surface $\\varSigma_g$ of genus $g$ is achieved by the monodromy of some $\\varSigma_g$-bundle over the circle obtained from $N(\\tfrac{3}{-2})$ or $N(\\tfrac{1}{-2})$ by Dehn filling two cus","authors_text":"Eiko Kin, Mitsuhiko Takasawa, Sadayoshi Kojima","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","title":"Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3939","kind":"arxiv","version":3},"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":"sha256:04021b379687b5c94cbfb6af5ed9928c408d98919be5cacaa859ad6713ef8a59","target":"record","created_at":"2026-05-18T02:41:50Z","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":"303bb016baff47a51cac26ca2a60ede7849f314b5490188f8e640a94dcfdfd2d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","title_canon_sha256":"acda8c65f919ba75e4275943c5b565027bccaa7889e811bfdf3e096bd1d0ac64"},"schema_version":"1.0","source":{"id":"1104.3939","kind":"arxiv","version":3}},"canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","first_computed_at":"2026-05-18T02:41:50.531177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:50.531177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bnl4B+X2EX7TkPltWUtH7Fml+iCtDU0ui0tyHeDy7G+fvLY2am4lLoELjUhHVGnT6LxzrWD64YwoihC/1KaWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:50.531701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3939","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04021b379687b5c94cbfb6af5ed9928c408d98919be5cacaa859ad6713ef8a59","sha256:e9312ef57beb773da5d2c817c5e0d6b9f795481b52afc7040f5abde6acb00d62"],"state_sha256":"f3229329352591574bc013e7e24989ed6bc76696cd71471e28c17f026d920012"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qobJnSIDMwQVT+nk+FyPqPq3fNL2lZb2HY1e9fjj4c1sqrGgftZift1tmnZnfursMXdaWBd6PRV3akrFoy9HBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:41:42.121204Z","bundle_sha256":"f3e350eb90cc1cbbf7c09ebe1ac7b3730a40d38925d451d9a77d5adcc7ecc7fa"}}