{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4IZPINHJF7GS33R3D5CU4SGHK6","short_pith_number":"pith:4IZPINHJ","canonical_record":{"source":{"id":"2607.14369","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T21:17:24Z","cross_cats_sorted":[],"title_canon_sha256":"fc16a0d673cd49deff7a7930d7c22a1a24a779da1198ec8b0884026a09d9aa50","abstract_canon_sha256":"52d445c8cc4e0b02a3e8b8e78b392beb85652430fe36dd5896721541b973f65f"},"schema_version":"1.0"},"canonical_sha256":"e232f434e92fcd2dee3b1f454e48c7578a1bcd8f96767cf59ad108e7510fa7a1","source":{"kind":"arxiv","id":"2607.14369","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14369","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14369v1","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14369","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"4IZPINHJF7GS","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_16","alias_value":"4IZPINHJF7GS33R3","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_8","alias_value":"4IZPINHJ","created_at":"2026-07-17T00:21:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4IZPINHJF7GS33R3D5CU4SGHK6","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14369","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T21:17:24Z","cross_cats_sorted":[],"title_canon_sha256":"fc16a0d673cd49deff7a7930d7c22a1a24a779da1198ec8b0884026a09d9aa50","abstract_canon_sha256":"52d445c8cc4e0b02a3e8b8e78b392beb85652430fe36dd5896721541b973f65f"},"schema_version":"1.0"},"canonical_sha256":"e232f434e92fcd2dee3b1f454e48c7578a1bcd8f96767cf59ad108e7510fa7a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T00:21:08.245123Z","signature_b64":"vnwZfwsykeNz0YbS4MMY0rA/5i9hIIrapr6w3H80/jRvmrIViH2+3UJRdS2f8sQbT8PdZ4KRJunZClylIdX6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e232f434e92fcd2dee3b1f454e48c7578a1bcd8f96767cf59ad108e7510fa7a1","last_reissued_at":"2026-07-17T00:21:08.244345Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T00:21:08.244345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14369","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":"2026-07-17T00:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6x3Fb0qB6yp9h+JsbNXPYAbVLlIZGnLs48EoIV27YhYtNhPiTsCQHEKRyGBKeWAXGmF7ItVOIuxoKl/jouzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T03:43:19.227888Z"},"content_sha256":"8140dd691888b8d6fde9651334b6b674d31e3d37d2b3b2e6b878f84df5135929","schema_version":"1.0","event_id":"sha256:8140dd691888b8d6fde9651334b6b674d31e3d37d2b3b2e6b878f84df5135929"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4IZPINHJF7GS33R3D5CU4SGHK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Barbara Baumeister, Luis Paris, Sarah Rees","submitted_at":"2026-07-15T21:17:24Z","abstract_excerpt":"We prove that, for $n \\ge 5$, an interval group associated with a proper quasi-Coxeter element of the Coxeter group of type $D_n$ admits no surjective homomorphism onto the braid group on $n$ strands. In particular, this provides an alternative proof that such a group is not isomorphic to the Artin group of type $D_n$. The proof relies on techniques from the theory of mapping class groups, and a large part of the paper provides an exposition of this theory for non-specialists."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14369","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.14369/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":"2026-07-17T00:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wq1WCpevx4iLkqJuKpp0T/87a9eaowvsfd5KcwN4vUKgRXPc+ZzrxSDYg+VHkBKSrc9wlsrwMJDzl6Pm6b9lDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T03:43:19.228388Z"},"content_sha256":"2b8719f81a7762a3046981c6096573840219186d6a43650efbf9653ba52e80dd","schema_version":"1.0","event_id":"sha256:2b8719f81a7762a3046981c6096573840219186d6a43650efbf9653ba52e80dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4IZPINHJF7GS33R3D5CU4SGHK6/bundle.json","state_url":"https://pith.science/pith/4IZPINHJF7GS33R3D5CU4SGHK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4IZPINHJF7GS33R3D5CU4SGHK6/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":"2026-08-24T03:43:19Z","links":{"resolver":"https://pith.science/pith/4IZPINHJF7GS33R3D5CU4SGHK6","bundle":"https://pith.science/pith/4IZPINHJF7GS33R3D5CU4SGHK6/bundle.json","state":"https://pith.science/pith/4IZPINHJF7GS33R3D5CU4SGHK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4IZPINHJF7GS33R3D5CU4SGHK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4IZPINHJF7GS33R3D5CU4SGHK6","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":"52d445c8cc4e0b02a3e8b8e78b392beb85652430fe36dd5896721541b973f65f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T21:17:24Z","title_canon_sha256":"fc16a0d673cd49deff7a7930d7c22a1a24a779da1198ec8b0884026a09d9aa50"},"schema_version":"1.0","source":{"id":"2607.14369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14369","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14369v1","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14369","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"4IZPINHJF7GS","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_16","alias_value":"4IZPINHJF7GS33R3","created_at":"2026-07-17T00:21:08Z"},{"alias_kind":"pith_short_8","alias_value":"4IZPINHJ","created_at":"2026-07-17T00:21:08Z"}],"graph_snapshots":[{"event_id":"sha256:2b8719f81a7762a3046981c6096573840219186d6a43650efbf9653ba52e80dd","target":"graph","created_at":"2026-07-17T00:21:08Z","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/2607.14369/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that, for $n \\ge 5$, an interval group associated with a proper quasi-Coxeter element of the Coxeter group of type $D_n$ admits no surjective homomorphism onto the braid group on $n$ strands. In particular, this provides an alternative proof that such a group is not isomorphic to the Artin group of type $D_n$. The proof relies on techniques from the theory of mapping class groups, and a large part of the paper provides an exposition of this theory for non-specialists.","authors_text":"Barbara Baumeister, Luis Paris, Sarah Rees","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T21:17:24Z","title":"The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14369","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":"sha256:8140dd691888b8d6fde9651334b6b674d31e3d37d2b3b2e6b878f84df5135929","target":"record","created_at":"2026-07-17T00:21:08Z","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":"52d445c8cc4e0b02a3e8b8e78b392beb85652430fe36dd5896721541b973f65f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2026-07-15T21:17:24Z","title_canon_sha256":"fc16a0d673cd49deff7a7930d7c22a1a24a779da1198ec8b0884026a09d9aa50"},"schema_version":"1.0","source":{"id":"2607.14369","kind":"arxiv","version":1}},"canonical_sha256":"e232f434e92fcd2dee3b1f454e48c7578a1bcd8f96767cf59ad108e7510fa7a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e232f434e92fcd2dee3b1f454e48c7578a1bcd8f96767cf59ad108e7510fa7a1","first_computed_at":"2026-07-17T00:21:08.244345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T00:21:08.244345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vnwZfwsykeNz0YbS4MMY0rA/5i9hIIrapr6w3H80/jRvmrIViH2+3UJRdS2f8sQbT8PdZ4KRJunZClylIdX6AA==","signature_status":"signed_v1","signed_at":"2026-07-17T00:21:08.245123Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8140dd691888b8d6fde9651334b6b674d31e3d37d2b3b2e6b878f84df5135929","sha256:2b8719f81a7762a3046981c6096573840219186d6a43650efbf9653ba52e80dd"],"state_sha256":"76ca0891beae92c4fe7f613b6230e93728496e8da442834762382e2f3a4e84e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wlDqSL6r1jV/KwTtfAGapX0l/U57q4WQ3kQ6MjMG9sFGtW4SGa0JpZbNyDf4OmoRgu+ASrVWmzIgh407EGdcCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T03:43:19.234027Z","bundle_sha256":"d042e67a16445699ec4941331abc21475e712f817d9f9342759c37c92801ba18"}}