{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:O6ABT2F2CSKY6X64JQH3A3M462","short_pith_number":"pith:O6ABT2F2","canonical_record":{"source":{"id":"1807.00622","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T12:22:29Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"4506cda3dc2bb2febf06d7387751b68af0291ffc0f4cf54bb8935148d149b82d","abstract_canon_sha256":"3e3972ab72758a48f77b4e51b055a222fa943c3b0b528ca9f5a7c720f6901f6b"},"schema_version":"1.0"},"canonical_sha256":"778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18","source":{"kind":"arxiv","id":"1807.00622","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00622","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00622v4","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00622","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_12","alias_value":"O6ABT2F2CSKY","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_16","alias_value":"O6ABT2F2CSKY6X64","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_8","alias_value":"O6ABT2F2","created_at":"2026-07-05T04:15:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:O6ABT2F2CSKY6X64JQH3A3M462","target":"record","payload":{"canonical_record":{"source":{"id":"1807.00622","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T12:22:29Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"4506cda3dc2bb2febf06d7387751b68af0291ffc0f4cf54bb8935148d149b82d","abstract_canon_sha256":"3e3972ab72758a48f77b4e51b055a222fa943c3b0b528ca9f5a7c720f6901f6b"},"schema_version":"1.0"},"canonical_sha256":"778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:15:05.832844Z","signature_b64":"eh9gKrIO3d6zTcQnCmRe3RucpZmDT+UdbCtc7CGSEpmTENFr5TQ3TMiK55w29aWjh+nRMChg0Fu871522UZBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18","last_reissued_at":"2026-07-05T04:15:05.832482Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:15:05.832482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.00622","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:15:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3IHPvyTvroxS8z+okftcQR7FEBmtR2kK3rJBt6ghR4QtS3gs4Sx3t14SEm3z0UxiXCpDtfKtnuQdBuMz1C+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:34:00.440267Z"},"content_sha256":"8ffa01bd61f14e19179861106f83f3bb1f5e9e2de6956bbc8f6991eb94277a1e","schema_version":"1.0","event_id":"sha256:8ffa01bd61f14e19179861106f83f3bb1f5e9e2de6956bbc8f6991eb94277a1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:O6ABT2F2CSKY6X64JQH3A3M462","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automorphisms of graph products of groups and acylindrical hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.GR","authors_text":"Anthony Genevois","submitted_at":"2018-07-02T12:22:29Z","abstract_excerpt":"This article is dedicated to the study of the acylindrical hyperbolicity of automorphism groups of graph products of groups. Our main result is that, if $\\Gamma$ is a finite graph which contains at least two vertices and is not a join and if $\\mathcal{G}$ is a collection of finitely generated irreducible groups, then either $\\Gamma \\mathcal{G}$ is infinite dihedral or $\\mathrm{Aut}(\\Gamma \\mathcal{G})$ is acylindrically hyperbolic. This theorem is new even for right-angled Artin groups and right-angled Coxeter groups. Various consequences are deduced from this statement and from the techniques"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00622","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.00622/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:15:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QMzOY0qwdrrU335JN+IgQXz1/vmcRevSBHOf15bs+Ng0EUcuxyLOW3xgLQkL1JxOoM5nK8AoM/crF1IJTToxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T03:34:00.441246Z"},"content_sha256":"04fc93f6181440351db5a67b56210d627e6657d9cc2a047573b20db3e770bc3e","schema_version":"1.0","event_id":"sha256:04fc93f6181440351db5a67b56210d627e6657d9cc2a047573b20db3e770bc3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6ABT2F2CSKY6X64JQH3A3M462/bundle.json","state_url":"https://pith.science/pith/O6ABT2F2CSKY6X64JQH3A3M462/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6ABT2F2CSKY6X64JQH3A3M462/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":"2026-08-18T03:34:00Z","links":{"resolver":"https://pith.science/pith/O6ABT2F2CSKY6X64JQH3A3M462","bundle":"https://pith.science/pith/O6ABT2F2CSKY6X64JQH3A3M462/bundle.json","state":"https://pith.science/pith/O6ABT2F2CSKY6X64JQH3A3M462/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6ABT2F2CSKY6X64JQH3A3M462/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:O6ABT2F2CSKY6X64JQH3A3M462","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":"3e3972ab72758a48f77b4e51b055a222fa943c3b0b528ca9f5a7c720f6901f6b","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T12:22:29Z","title_canon_sha256":"4506cda3dc2bb2febf06d7387751b68af0291ffc0f4cf54bb8935148d149b82d"},"schema_version":"1.0","source":{"id":"1807.00622","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00622","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00622v4","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00622","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_12","alias_value":"O6ABT2F2CSKY","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_16","alias_value":"O6ABT2F2CSKY6X64","created_at":"2026-07-05T04:15:05Z"},{"alias_kind":"pith_short_8","alias_value":"O6ABT2F2","created_at":"2026-07-05T04:15:05Z"}],"graph_snapshots":[{"event_id":"sha256:04fc93f6181440351db5a67b56210d627e6657d9cc2a047573b20db3e770bc3e","target":"graph","created_at":"2026-07-05T04:15:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1807.00622/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article is dedicated to the study of the acylindrical hyperbolicity of automorphism groups of graph products of groups. Our main result is that, if $\\Gamma$ is a finite graph which contains at least two vertices and is not a join and if $\\mathcal{G}$ is a collection of finitely generated irreducible groups, then either $\\Gamma \\mathcal{G}$ is infinite dihedral or $\\mathrm{Aut}(\\Gamma \\mathcal{G})$ is acylindrically hyperbolic. This theorem is new even for right-angled Artin groups and right-angled Coxeter groups. Various consequences are deduced from this statement and from the techniques","authors_text":"Anthony Genevois","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T12:22:29Z","title":"Automorphisms of graph products of groups and acylindrical hyperbolicity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00622","kind":"arxiv","version":4},"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":"sha256:8ffa01bd61f14e19179861106f83f3bb1f5e9e2de6956bbc8f6991eb94277a1e","target":"record","created_at":"2026-07-05T04:15:05Z","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":"3e3972ab72758a48f77b4e51b055a222fa943c3b0b528ca9f5a7c720f6901f6b","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T12:22:29Z","title_canon_sha256":"4506cda3dc2bb2febf06d7387751b68af0291ffc0f4cf54bb8935148d149b82d"},"schema_version":"1.0","source":{"id":"1807.00622","kind":"arxiv","version":4}},"canonical_sha256":"778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18","first_computed_at":"2026-07-05T04:15:05.832482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:15:05.832482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eh9gKrIO3d6zTcQnCmRe3RucpZmDT+UdbCtc7CGSEpmTENFr5TQ3TMiK55w29aWjh+nRMChg0Fu871522UZBDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:15:05.832844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00622","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ffa01bd61f14e19179861106f83f3bb1f5e9e2de6956bbc8f6991eb94277a1e","sha256:04fc93f6181440351db5a67b56210d627e6657d9cc2a047573b20db3e770bc3e"],"state_sha256":"e87f8fe1a31131a851511db9cc64edd5026441bfbb820bc503f68215c9aa0b6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tW9C1eXHBIVlGZ7/1M49mxNDRIiHulg8oGeP3/iglAAOz2iN/0UZOmDMXpsp1EZrWJGpTkTfDM2UKLsqlMNgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T03:34:00.460622Z","bundle_sha256":"129ee581151000dc86a400c32b0d60130662263a8f848c4f9486edad7de7707f"}}