{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FONMI2Q6DPW755BRGSZMYWRNIZ","short_pith_number":"pith:FONMI2Q6","canonical_record":{"source":{"id":"1707.05983","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-19T08:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"9a5b240a6dcfd46b808004758be5ad9ee0e2ee76c2a2373c00c2486e40a81b3d","abstract_canon_sha256":"2e3a5a4f7104b0d938fe85c3b17e2935aae33c3749e19dbad9a4df150242b651"},"schema_version":"1.0"},"canonical_sha256":"2b9ac46a1e1bedfef43134b2cc5a2d4666668539900887f4f13f714d9a374aec","source":{"kind":"arxiv","id":"1707.05983","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05983","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05983v3","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05983","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"FONMI2Q6DPW7","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FONMI2Q6DPW755BR","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FONMI2Q6","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FONMI2Q6DPW755BRGSZMYWRNIZ","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05983","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-19T08:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"9a5b240a6dcfd46b808004758be5ad9ee0e2ee76c2a2373c00c2486e40a81b3d","abstract_canon_sha256":"2e3a5a4f7104b0d938fe85c3b17e2935aae33c3749e19dbad9a4df150242b651"},"schema_version":"1.0"},"canonical_sha256":"2b9ac46a1e1bedfef43134b2cc5a2d4666668539900887f4f13f714d9a374aec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:24.055463Z","signature_b64":"UN5vaEJ59/04T8dp5RjVvn7i+Dg1/RCHMqWqvYSDNHfWi/ITTnSwr6K9GhXBhquSz39PGL1bjK5meQinYzirAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b9ac46a1e1bedfef43134b2cc5a2d4666668539900887f4f13f714d9a374aec","last_reissued_at":"2026-05-18T00:04:24.054937Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:24.054937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05983","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":"2026-05-18T00:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1TKz/kGbmzUOI66EZVh2KUQvOs57MBTVxxmGbYL8nGYh4FOlmgcrbLVwg+PYjIXRnCIuLVbdR1W0t7galY5YDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:09:45.287687Z"},"content_sha256":"1c86e796a4604d15674c8b45dc193e0fe2dbab512648229f2028763f28985f0b","schema_version":"1.0","event_id":"sha256:1c86e796a4604d15674c8b45dc193e0fe2dbab512648229f2028763f28985f0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FONMI2Q6DPW755BRGSZMYWRNIZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Eiko Kin, Hyunshik Shin","submitted_at":"2017-07-19T08:59:14Z","abstract_excerpt":"Let $M$ be a hyperbolic fibered 3-manifold with $b_1(M) \\geq 2$ and let $S$ be a fiber with pseudo-Anosov monodromy $\\psi$. We show that there exists a sequence $(R_n, \\psi_n)$ of fibers and monodromies contained in the fibered cone of $(S,\\psi)$ such that the asymptotic translation length of $\\psi_n$ on the curve complex $\\mathcal{C}(R_n)$ behaves asymptotically like $1/|\\chi(R_n)|^2$. As applications, we can reprove the previous result by Gadre--Tsai that the minimal asymptotic translation length of a closed surface of genus $g$ asymptotically behaves like $1/g^2$. We also show that this als"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05983","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":"2026-05-18T00:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JEiY3At4maGnyQTZAfgMNhpVU3F3DE+6yei5En7avW3MzquBJ10oyeG1ZOP1FA/8qcqhu9RBuRvsCKZdK1mgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:09:45.288344Z"},"content_sha256":"a8ac9e40926d15d99baf283abc60c351158af30f7343ede191f7e8e4e7efdd20","schema_version":"1.0","event_id":"sha256:a8ac9e40926d15d99baf283abc60c351158af30f7343ede191f7e8e4e7efdd20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/bundle.json","state_url":"https://pith.science/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/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":"2026-06-12T00:09:45Z","links":{"resolver":"https://pith.science/pith/FONMI2Q6DPW755BRGSZMYWRNIZ","bundle":"https://pith.science/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/bundle.json","state":"https://pith.science/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FONMI2Q6DPW755BRGSZMYWRNIZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FONMI2Q6DPW755BRGSZMYWRNIZ","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":"2e3a5a4f7104b0d938fe85c3b17e2935aae33c3749e19dbad9a4df150242b651","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-19T08:59:14Z","title_canon_sha256":"9a5b240a6dcfd46b808004758be5ad9ee0e2ee76c2a2373c00c2486e40a81b3d"},"schema_version":"1.0","source":{"id":"1707.05983","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05983","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05983v3","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05983","created_at":"2026-05-18T00:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"FONMI2Q6DPW7","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FONMI2Q6DPW755BR","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FONMI2Q6","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:a8ac9e40926d15d99baf283abc60c351158af30f7343ede191f7e8e4e7efdd20","target":"graph","created_at":"2026-05-18T00:04:24Z","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":"Let $M$ be a hyperbolic fibered 3-manifold with $b_1(M) \\geq 2$ and let $S$ be a fiber with pseudo-Anosov monodromy $\\psi$. We show that there exists a sequence $(R_n, \\psi_n)$ of fibers and monodromies contained in the fibered cone of $(S,\\psi)$ such that the asymptotic translation length of $\\psi_n$ on the curve complex $\\mathcal{C}(R_n)$ behaves asymptotically like $1/|\\chi(R_n)|^2$. As applications, we can reprove the previous result by Gadre--Tsai that the minimal asymptotic translation length of a closed surface of genus $g$ asymptotically behaves like $1/g^2$. We also show that this als","authors_text":"Eiko Kin, Hyunshik Shin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-19T08:59:14Z","title":"Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05983","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":"sha256:1c86e796a4604d15674c8b45dc193e0fe2dbab512648229f2028763f28985f0b","target":"record","created_at":"2026-05-18T00:04:24Z","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":"2e3a5a4f7104b0d938fe85c3b17e2935aae33c3749e19dbad9a4df150242b651","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-19T08:59:14Z","title_canon_sha256":"9a5b240a6dcfd46b808004758be5ad9ee0e2ee76c2a2373c00c2486e40a81b3d"},"schema_version":"1.0","source":{"id":"1707.05983","kind":"arxiv","version":3}},"canonical_sha256":"2b9ac46a1e1bedfef43134b2cc5a2d4666668539900887f4f13f714d9a374aec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b9ac46a1e1bedfef43134b2cc5a2d4666668539900887f4f13f714d9a374aec","first_computed_at":"2026-05-18T00:04:24.054937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:24.054937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UN5vaEJ59/04T8dp5RjVvn7i+Dg1/RCHMqWqvYSDNHfWi/ITTnSwr6K9GhXBhquSz39PGL1bjK5meQinYzirAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:24.055463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05983","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c86e796a4604d15674c8b45dc193e0fe2dbab512648229f2028763f28985f0b","sha256:a8ac9e40926d15d99baf283abc60c351158af30f7343ede191f7e8e4e7efdd20"],"state_sha256":"5d1c02521477799191c398e598e95d9c7d168d70e022cbd5bdd973a45cc4ba7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pgmm7/CYxq9VS4zY86qZD5JuJ/qFSe1mb0yZwHl+OWWOk3vlsFRXjhIz2/kNQIl77QhG08slEqlF0OlCrtrvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:09:45.291544Z","bundle_sha256":"6eb562ecfc723c5be43c36b35dafd6d0e90d9535a416a0ddd212722a7b418fed"}}