{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AUEDLHOIMJ6AD7TZILKLAHHMKL","short_pith_number":"pith:AUEDLHOI","canonical_record":{"source":{"id":"1510.05554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-10-19T16:03:51Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"601cab016b60758e1c51bb88717b7184d09b50b43df7803ed657ed4b86fb2a9c","abstract_canon_sha256":"3c4ca30fa0ccd109cb088edcf2eeaf9b128689277aa64757399595fc11c2d7c8"},"schema_version":"1.0"},"canonical_sha256":"0508359dc8627c01fe7942d4b01cec52cface62bd90fe6445e59f2ddfb25a572","source":{"kind":"arxiv","id":"1510.05554","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05554","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05554v1","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05554","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"AUEDLHOIMJ6A","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AUEDLHOIMJ6AD7TZ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AUEDLHOI","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AUEDLHOIMJ6AD7TZILKLAHHMKL","target":"record","payload":{"canonical_record":{"source":{"id":"1510.05554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-10-19T16:03:51Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"601cab016b60758e1c51bb88717b7184d09b50b43df7803ed657ed4b86fb2a9c","abstract_canon_sha256":"3c4ca30fa0ccd109cb088edcf2eeaf9b128689277aa64757399595fc11c2d7c8"},"schema_version":"1.0"},"canonical_sha256":"0508359dc8627c01fe7942d4b01cec52cface62bd90fe6445e59f2ddfb25a572","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:52.035736Z","signature_b64":"jeg2B7iH9isqGWVb8l1+eFNDKuxMCQb0LouapPHJr4p7qJK2wk069mrrkltDxVcxSGN5qNUGREei6luLL68gCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0508359dc8627c01fe7942d4b01cec52cface62bd90fe6445e59f2ddfb25a572","last_reissued_at":"2026-05-18T01:29:52.035212Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:52.035212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.05554","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":"2026-05-18T01:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lzuD6rKq6oJMy60QWcp6PUjD1+/xmSY9w+YQSikHOaXSCKqulVzpux+o+3sVbxZtYl9W4d6pGRr8TCsiFOIqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:00:57.503078Z"},"content_sha256":"58604cff05633a8228b8129a220c8028d11332c2d1b21bc51ed8ca0429de6464","schema_version":"1.0","event_id":"sha256:58604cff05633a8228b8129a220c8028d11332c2d1b21bc51ed8ca0429de6464"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AUEDLHOIMJ6AD7TZILKLAHHMKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological models of finite type for tree almost automorphism groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Roman Sauer, Werner Thumann","submitted_at":"2015-10-19T16:03:51Z","abstract_excerpt":"We show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the $F_\\infty$-finiteness condition in the world of totally disconnected groups: They possess a cellular action on a contractible cellular complex such that the stabilizers are open and compact and the restriction of the action on each $n$-skeleton is cocompact."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05554","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":"2026-05-18T01:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOND5JDNgbJwYhuim2uI1uwGpqpOhsxomOlAN9M47kO3OUqwaxYmPtjoGxvF39y9uFwY7cRioSJnaNWH0comAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:00:57.503440Z"},"content_sha256":"6b30fd6bd7a01603fc51419516efe5e78b19f1a971fb00acaebe5df0e1e9b761","schema_version":"1.0","event_id":"sha256:6b30fd6bd7a01603fc51419516efe5e78b19f1a971fb00acaebe5df0e1e9b761"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/bundle.json","state_url":"https://pith.science/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/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":"2026-06-03T19:00:57Z","links":{"resolver":"https://pith.science/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL","bundle":"https://pith.science/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/bundle.json","state":"https://pith.science/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUEDLHOIMJ6AD7TZILKLAHHMKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AUEDLHOIMJ6AD7TZILKLAHHMKL","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":"3c4ca30fa0ccd109cb088edcf2eeaf9b128689277aa64757399595fc11c2d7c8","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-10-19T16:03:51Z","title_canon_sha256":"601cab016b60758e1c51bb88717b7184d09b50b43df7803ed657ed4b86fb2a9c"},"schema_version":"1.0","source":{"id":"1510.05554","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05554","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05554v1","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05554","created_at":"2026-05-18T01:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"AUEDLHOIMJ6A","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AUEDLHOIMJ6AD7TZ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AUEDLHOI","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:6b30fd6bd7a01603fc51419516efe5e78b19f1a971fb00acaebe5df0e1e9b761","target":"graph","created_at":"2026-05-18T01:29:52Z","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 show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the $F_\\infty$-finiteness condition in the world of totally disconnected groups: They possess a cellular action on a contractible cellular complex such that the stabilizers are open and compact and the restriction of the action on each $n$-skeleton is cocompact.","authors_text":"Roman Sauer, Werner Thumann","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-10-19T16:03:51Z","title":"Topological models of finite type for tree almost automorphism groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05554","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":"sha256:58604cff05633a8228b8129a220c8028d11332c2d1b21bc51ed8ca0429de6464","target":"record","created_at":"2026-05-18T01:29:52Z","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":"3c4ca30fa0ccd109cb088edcf2eeaf9b128689277aa64757399595fc11c2d7c8","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-10-19T16:03:51Z","title_canon_sha256":"601cab016b60758e1c51bb88717b7184d09b50b43df7803ed657ed4b86fb2a9c"},"schema_version":"1.0","source":{"id":"1510.05554","kind":"arxiv","version":1}},"canonical_sha256":"0508359dc8627c01fe7942d4b01cec52cface62bd90fe6445e59f2ddfb25a572","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0508359dc8627c01fe7942d4b01cec52cface62bd90fe6445e59f2ddfb25a572","first_computed_at":"2026-05-18T01:29:52.035212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:52.035212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jeg2B7iH9isqGWVb8l1+eFNDKuxMCQb0LouapPHJr4p7qJK2wk069mrrkltDxVcxSGN5qNUGREei6luLL68gCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:52.035736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.05554","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58604cff05633a8228b8129a220c8028d11332c2d1b21bc51ed8ca0429de6464","sha256:6b30fd6bd7a01603fc51419516efe5e78b19f1a971fb00acaebe5df0e1e9b761"],"state_sha256":"f1d844b04093ee489af32c3ef976cb59df47aa5d1665d922c4f940e1533f6e77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZmvWAjz1qV+46JIzE3PSl2C+YEN5ganGVQVPr2vrIGoJ4jeuTXDYrv8a1JbEeKBYJL4dZSRMZoxCzI9uOCeDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:00:57.505328Z","bundle_sha256":"f2cda7820264b665e769b0413cfc0d8dfd30b94a373f25d9fbf3f38a95e0c618"}}