{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MZEXERM5EE3Y45NAISKIG6HXDS","short_pith_number":"pith:MZEXERM5","canonical_record":{"source":{"id":"1106.0162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-01T12:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"a8f3ed46410aaec9e5aac3ada3cb8ccd206c24cb2e4703b7fd1c2bba1126744b","abstract_canon_sha256":"cae9a55329e2dcee3d08a70569042d1d8de04632cfa9091a47da931be947aa61"},"schema_version":"1.0"},"canonical_sha256":"664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60","source":{"kind":"arxiv","id":"1106.0162","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0162","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0162v2","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0162","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"MZEXERM5EE3Y","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MZEXERM5EE3Y45NA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MZEXERM5","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MZEXERM5EE3Y45NAISKIG6HXDS","target":"record","payload":{"canonical_record":{"source":{"id":"1106.0162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-01T12:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"a8f3ed46410aaec9e5aac3ada3cb8ccd206c24cb2e4703b7fd1c2bba1126744b","abstract_canon_sha256":"cae9a55329e2dcee3d08a70569042d1d8de04632cfa9091a47da931be947aa61"},"schema_version":"1.0"},"canonical_sha256":"664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:37.441715Z","signature_b64":"EnBRhHWxeJWPskOTcILRKZT5kSd9JhA8sQElQcSDRX2cHQZTc2d6f3j9lxsXWGEkhoMYnKdbcoBH45whZPqoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60","last_reissued_at":"2026-05-18T04:20:37.441085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:37.441085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.0162","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":"2026-05-18T04:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OFt6mpCwzHeez4Gv9mR0J7730K0Mzp0Aye0G7f02DIovXaf2Qfd8iCR0cGUjJEntOllPLU2DQebuJbwXKHmKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:28:15.595445Z"},"content_sha256":"ee4bd99bdd70718d8f912afed835a2e00cd2e784e9722c77bb2c310b77401a60","schema_version":"1.0","event_id":"sha256:ee4bd99bdd70718d8f912afed835a2e00cd2e784e9722c77bb2c310b77401a60"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MZEXERM5EE3Y45NAISKIG6HXDS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Alex Eskin, Kevin Wortman, Mladen Bestvina","submitted_at":"2011-06-01T12:47:48Z","abstract_excerpt":"We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a theorem of Bux. We also develop a precise version of reduction theory for arithmetic groups whose proof is, for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0162","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":"2026-05-18T04:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LI4f7IL49h30f7GghY89iiLDIRFlEQedKGy6Unf6FkcHOjvY9ouT4h7UXgLsDQp01sbSbAKlom4ur+e84uK9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:28:15.596124Z"},"content_sha256":"4476129ee079229d656e78d35f403224aefcc959287be78ae094b42fd15c2014","schema_version":"1.0","event_id":"sha256:4476129ee079229d656e78d35f403224aefcc959287be78ae094b42fd15c2014"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZEXERM5EE3Y45NAISKIG6HXDS/bundle.json","state_url":"https://pith.science/pith/MZEXERM5EE3Y45NAISKIG6HXDS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZEXERM5EE3Y45NAISKIG6HXDS/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":"2026-05-27T18:28:15Z","links":{"resolver":"https://pith.science/pith/MZEXERM5EE3Y45NAISKIG6HXDS","bundle":"https://pith.science/pith/MZEXERM5EE3Y45NAISKIG6HXDS/bundle.json","state":"https://pith.science/pith/MZEXERM5EE3Y45NAISKIG6HXDS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZEXERM5EE3Y45NAISKIG6HXDS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MZEXERM5EE3Y45NAISKIG6HXDS","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":"cae9a55329e2dcee3d08a70569042d1d8de04632cfa9091a47da931be947aa61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-01T12:47:48Z","title_canon_sha256":"a8f3ed46410aaec9e5aac3ada3cb8ccd206c24cb2e4703b7fd1c2bba1126744b"},"schema_version":"1.0","source":{"id":"1106.0162","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0162","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0162v2","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0162","created_at":"2026-05-18T04:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"MZEXERM5EE3Y","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MZEXERM5EE3Y45NA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MZEXERM5","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:4476129ee079229d656e78d35f403224aefcc959287be78ae094b42fd15c2014","target":"graph","created_at":"2026-05-18T04:20:37Z","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 provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a theorem of Bux. We also develop a precise version of reduction theory for arithmetic groups whose proof is, for ","authors_text":"Alex Eskin, Kevin Wortman, Mladen Bestvina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-01T12:47:48Z","title":"Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0162","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:ee4bd99bdd70718d8f912afed835a2e00cd2e784e9722c77bb2c310b77401a60","target":"record","created_at":"2026-05-18T04:20:37Z","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":"cae9a55329e2dcee3d08a70569042d1d8de04632cfa9091a47da931be947aa61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-06-01T12:47:48Z","title_canon_sha256":"a8f3ed46410aaec9e5aac3ada3cb8ccd206c24cb2e4703b7fd1c2bba1126744b"},"schema_version":"1.0","source":{"id":"1106.0162","kind":"arxiv","version":2}},"canonical_sha256":"664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60","first_computed_at":"2026-05-18T04:20:37.441085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:37.441085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EnBRhHWxeJWPskOTcILRKZT5kSd9JhA8sQElQcSDRX2cHQZTc2d6f3j9lxsXWGEkhoMYnKdbcoBH45whZPqoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:37.441715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.0162","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee4bd99bdd70718d8f912afed835a2e00cd2e784e9722c77bb2c310b77401a60","sha256:4476129ee079229d656e78d35f403224aefcc959287be78ae094b42fd15c2014"],"state_sha256":"0886af1d80082878f0c3d189720cc06c6b31c2e6334acc0365149f2766a8df71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RcRocZidPjjrNQogV9O3RQI3oZxJe7z4iozBpXzC0CAUOCGOMNZ1gJAp+RXTyJyFUzIO4lD/U0cEmVnY0QSGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:28:15.599822Z","bundle_sha256":"35ba2b18705f94ee53e93c0156f44deae113c7440f80dd08af34a348d1c5fc09"}}