{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IB754FL7C7VQMHGZIGYFPDMCXM","short_pith_number":"pith:IB754FL7","canonical_record":{"source":{"id":"1205.2956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-14T07:57:12Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"be667a7ff0a388d3f6d17f436e7573951cf51f37195de6fea73567a638550e0d","abstract_canon_sha256":"04a20ce81ef8fa896d0a7e70989436f90309aae5c358a03d22f43f6bd3371b4b"},"schema_version":"1.0"},"canonical_sha256":"407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83","source":{"kind":"arxiv","id":"1205.2956","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2956","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2956v2","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2956","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"pith_short_12","alias_value":"IB754FL7C7VQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB754FL7C7VQMHGZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB754FL7","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IB754FL7C7VQMHGZIGYFPDMCXM","target":"record","payload":{"canonical_record":{"source":{"id":"1205.2956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-14T07:57:12Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"be667a7ff0a388d3f6d17f436e7573951cf51f37195de6fea73567a638550e0d","abstract_canon_sha256":"04a20ce81ef8fa896d0a7e70989436f90309aae5c358a03d22f43f6bd3371b4b"},"schema_version":"1.0"},"canonical_sha256":"407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:22.914953Z","signature_b64":"gJ9LiLbSXHJujZxOOvKsxueF7tZArFQwhnt/XVhUbxJuH+cSHKUrv51S24PXOuz3kUULQ/C8jlmojAx1cEV5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83","last_reissued_at":"2026-05-18T03:09:22.914090Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:22.914090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.2956","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":"2026-05-18T03:09:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wtK+dGHHmz7Udss8NkaRYhLTpqwFU4TmRRApxOTRy6/iewmlh1i+ToGR6gsiJlatX0aCr0Aid6yFRokgcVbBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:31:01.236877Z"},"content_sha256":"181f559526f935194494ce49912a580acdc4a8d48ab5d690e8593b94bf6e1bd0","schema_version":"1.0","event_id":"sha256:181f559526f935194494ce49912a580acdc4a8d48ab5d690e8593b94bf6e1bd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IB754FL7C7VQMHGZIGYFPDMCXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The boundary of a fibered face of the magic 3-manifold and the asymptotic behavior of the minimal pseudo-Anosovs dilatations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa","submitted_at":"2012-05-14T07:57:12Z","abstract_excerpt":"Let $\\delta_{g,n}$ be the minimal dilatation of pseudo-Anosovs defined on an orientable surface of genus $g$ with $n$ punctures. Tsai proved that for any fixed $g \\ge 2$, the logarithm of the minimal dilatation $\\log \\delta_{g,n}$ is on the order of $\\frac{\\log n}{n}$. The main result of this paper is that if $2g+1$ is relatively prime to $s$ or $s+1$ for each $0 \\le s \\le g$, then $$\\limsup_{n \\to \\infty} \\frac{n \\log \\delta_{g,n}}{\\log n} \\le 2.$$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2956","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":"2026-05-18T03:09:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mOuFa1AL2eO9eKUeOWsatF7AGJiYDLDcqxp3ydrYvptwRfKN44IA/l+Vpd2W5OaNEQTvmYuqpcaoOs/zBDSXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:31:01.237230Z"},"content_sha256":"ab2be0d4bb27b459a7276694c025ce142e018d969535fa239cb86eae8cf7414e","schema_version":"1.0","event_id":"sha256:ab2be0d4bb27b459a7276694c025ce142e018d969535fa239cb86eae8cf7414e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM/bundle.json","state_url":"https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB754FL7C7VQMHGZIGYFPDMCXM/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":"2026-06-26T23:31:01Z","links":{"resolver":"https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM","bundle":"https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM/bundle.json","state":"https://pith.science/pith/IB754FL7C7VQMHGZIGYFPDMCXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB754FL7C7VQMHGZIGYFPDMCXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IB754FL7C7VQMHGZIGYFPDMCXM","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":"04a20ce81ef8fa896d0a7e70989436f90309aae5c358a03d22f43f6bd3371b4b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-14T07:57:12Z","title_canon_sha256":"be667a7ff0a388d3f6d17f436e7573951cf51f37195de6fea73567a638550e0d"},"schema_version":"1.0","source":{"id":"1205.2956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2956","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2956v2","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2956","created_at":"2026-05-18T03:09:22Z"},{"alias_kind":"pith_short_12","alias_value":"IB754FL7C7VQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB754FL7C7VQMHGZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB754FL7","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:ab2be0d4bb27b459a7276694c025ce142e018d969535fa239cb86eae8cf7414e","target":"graph","created_at":"2026-05-18T03:09:22Z","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 $\\delta_{g,n}$ be the minimal dilatation of pseudo-Anosovs defined on an orientable surface of genus $g$ with $n$ punctures. Tsai proved that for any fixed $g \\ge 2$, the logarithm of the minimal dilatation $\\log \\delta_{g,n}$ is on the order of $\\frac{\\log n}{n}$. The main result of this paper is that if $2g+1$ is relatively prime to $s$ or $s+1$ for each $0 \\le s \\le g$, then $$\\limsup_{n \\to \\infty} \\frac{n \\log \\delta_{g,n}}{\\log n} \\le 2.$$","authors_text":"Eiko Kin, Mitsuhiko Takasawa","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-14T07:57:12Z","title":"The boundary of a fibered face of the magic 3-manifold and the asymptotic behavior of the minimal pseudo-Anosovs dilatations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2956","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":"sha256:181f559526f935194494ce49912a580acdc4a8d48ab5d690e8593b94bf6e1bd0","target":"record","created_at":"2026-05-18T03:09:22Z","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":"04a20ce81ef8fa896d0a7e70989436f90309aae5c358a03d22f43f6bd3371b4b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-14T07:57:12Z","title_canon_sha256":"be667a7ff0a388d3f6d17f436e7573951cf51f37195de6fea73567a638550e0d"},"schema_version":"1.0","source":{"id":"1205.2956","kind":"arxiv","version":2}},"canonical_sha256":"407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407fde157f17eb061cd941b0578d82bb314282f068543d8bd3051af142689f83","first_computed_at":"2026-05-18T03:09:22.914090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:22.914090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJ9LiLbSXHJujZxOOvKsxueF7tZArFQwhnt/XVhUbxJuH+cSHKUrv51S24PXOuz3kUULQ/C8jlmojAx1cEV5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:22.914953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:181f559526f935194494ce49912a580acdc4a8d48ab5d690e8593b94bf6e1bd0","sha256:ab2be0d4bb27b459a7276694c025ce142e018d969535fa239cb86eae8cf7414e"],"state_sha256":"05627329388ef000dbde6fb60e59c8baabced4a8039b2e0a2096b3b96a89a4a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OAc4r7S6Q7FWBU2lamdwOqt9nAdFuGRPBUm14vepZqdLOV/D8HSQYwkAIWHihzroydOt2GxyY5Bz7FL64esBAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T23:31:01.239206Z","bundle_sha256":"940b888f6b7243716c6ba1863872939212195654f4df8ca84cde97210cb623d7"}}