{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6YGV7IKSNNV3NPVVXUUOBHW7JQ","short_pith_number":"pith:6YGV7IKS","canonical_record":{"source":{"id":"1511.02064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-06T13:12:21Z","cross_cats_sorted":["math.DG","math.GT"],"title_canon_sha256":"40dfd665d409ed471c0bcdaec1a677e6c9b396e2b441b9730033eadc6ae023e7","abstract_canon_sha256":"d95ed8c797bfb56bc22544b4f4db55d856b2bea904a3beaddfb68230a0a803c9"},"schema_version":"1.0"},"canonical_sha256":"f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434","source":{"kind":"arxiv","id":"1511.02064","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02064","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02064v2","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02064","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"6YGV7IKSNNV3","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6YGV7IKSNNV3NPVV","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6YGV7IKS","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6YGV7IKSNNV3NPVVXUUOBHW7JQ","target":"record","payload":{"canonical_record":{"source":{"id":"1511.02064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-06T13:12:21Z","cross_cats_sorted":["math.DG","math.GT"],"title_canon_sha256":"40dfd665d409ed471c0bcdaec1a677e6c9b396e2b441b9730033eadc6ae023e7","abstract_canon_sha256":"d95ed8c797bfb56bc22544b4f4db55d856b2bea904a3beaddfb68230a0a803c9"},"schema_version":"1.0"},"canonical_sha256":"f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:19.830398Z","signature_b64":"v+Y94DY0ERq/XRdH+Q5GFaWwFpoBxOtm+W4m0m9LxhVqguw2dDd3nYZJi7mmT77aR8mStZPNmMY7din6XvSJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434","last_reissued_at":"2026-05-17T23:58:19.829985Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:19.829985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.02064","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":"2026-05-17T23:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lzdCajlunN/Af/Av5uh7wggBFsn4+kxXvcbQQ7YEacfm4ve+ns4TxrQIt9uJCokRURZCeJoJXrwIeZHMksnhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:37.677154Z"},"content_sha256":"118e8a71afba854d0604e05c2f3c95bc03777e3c1be892e0b609dbff3b89b6d6","schema_version":"1.0","event_id":"sha256:118e8a71afba854d0604e05c2f3c95bc03777e3c1be892e0b609dbff3b89b6d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6YGV7IKSNNV3NPVVXUUOBHW7JQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite presentations for K\\\"ahler groups with arbitrary finiteness properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.GT"],"primary_cat":"math.GR","authors_text":"Claudio Llosa Isenrich","submitted_at":"2015-11-06T13:12:21Z","abstract_excerpt":"We construct the first explicit finite presentations for a family of K\\\"ahler groups with arbitrary finiteness properties, answering a question of Suciu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02064","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":"2026-05-17T23:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"84NOAdmxb5pkL/Qbz3KyxE3mudeN/WgWpwg4/6t41w7KpvQmtMAheViOEED8fE2+qvA086zHuBKttK7B/velDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:37.677526Z"},"content_sha256":"5602fea939426692b33573ea8263655d82c1ad2fb41a1504202b3c1fefa9bfed","schema_version":"1.0","event_id":"sha256:5602fea939426692b33573ea8263655d82c1ad2fb41a1504202b3c1fefa9bfed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/bundle.json","state_url":"https://pith.science/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/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":"2026-06-05T16:45:37Z","links":{"resolver":"https://pith.science/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ","bundle":"https://pith.science/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/bundle.json","state":"https://pith.science/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YGV7IKSNNV3NPVVXUUOBHW7JQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6YGV7IKSNNV3NPVVXUUOBHW7JQ","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":"d95ed8c797bfb56bc22544b4f4db55d856b2bea904a3beaddfb68230a0a803c9","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-06T13:12:21Z","title_canon_sha256":"40dfd665d409ed471c0bcdaec1a677e6c9b396e2b441b9730033eadc6ae023e7"},"schema_version":"1.0","source":{"id":"1511.02064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02064","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02064v2","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02064","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"6YGV7IKSNNV3","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6YGV7IKSNNV3NPVV","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6YGV7IKS","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:5602fea939426692b33573ea8263655d82c1ad2fb41a1504202b3c1fefa9bfed","target":"graph","created_at":"2026-05-17T23:58:19Z","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 construct the first explicit finite presentations for a family of K\\\"ahler groups with arbitrary finiteness properties, answering a question of Suciu.","authors_text":"Claudio Llosa Isenrich","cross_cats":["math.DG","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-06T13:12:21Z","title":"Finite presentations for K\\\"ahler groups with arbitrary finiteness properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02064","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":"sha256:118e8a71afba854d0604e05c2f3c95bc03777e3c1be892e0b609dbff3b89b6d6","target":"record","created_at":"2026-05-17T23:58:19Z","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":"d95ed8c797bfb56bc22544b4f4db55d856b2bea904a3beaddfb68230a0a803c9","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-06T13:12:21Z","title_canon_sha256":"40dfd665d409ed471c0bcdaec1a677e6c9b396e2b441b9730033eadc6ae023e7"},"schema_version":"1.0","source":{"id":"1511.02064","kind":"arxiv","version":2}},"canonical_sha256":"f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f60d5fa1526b6bb6beb5bd28e09edf4c2611200ba66768b26d1c615d961f3434","first_computed_at":"2026-05-17T23:58:19.829985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:19.829985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+Y94DY0ERq/XRdH+Q5GFaWwFpoBxOtm+W4m0m9LxhVqguw2dDd3nYZJi7mmT77aR8mStZPNmMY7din6XvSJBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:19.830398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:118e8a71afba854d0604e05c2f3c95bc03777e3c1be892e0b609dbff3b89b6d6","sha256:5602fea939426692b33573ea8263655d82c1ad2fb41a1504202b3c1fefa9bfed"],"state_sha256":"08d63c24f7a2b7f86444115acaec749a416db788cfbdf7782c0e47eddf673ce6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3XaVvy+p4bknT/T7Yt7sHXmEtSHUjmozuzP1thhSw1bS/iZxxXw5p3gl8LpDqzmcaiHFA1XspJBAHzlm7GKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:45:37.679731Z","bundle_sha256":"6563b7ea6a612976aacbac9ddaa38501e704d5710d488569e2fd1ac63b457c49"}}