{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:I3GL76RU5D5WLHJIIFFAU4XR6I","short_pith_number":"pith:I3GL76RU","canonical_record":{"source":{"id":"1302.2745","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-12T09:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"9bbc4342b40c1a9fcd5f0d29736e4a1c182b82c5f70dd4e9eb08c36c68423104","abstract_canon_sha256":"7f77909c7814fe7d0235f3abd3bb125cb37842fb1a8ecd810a301cb1fba93177"},"schema_version":"1.0"},"canonical_sha256":"46ccbffa34e8fb659d28414a0a72f1f20e792db63e36308a20e3c0d18b02e077","source":{"kind":"arxiv","id":"1302.2745","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2745","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2745v2","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2745","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"I3GL76RU5D5W","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"I3GL76RU5D5WLHJI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"I3GL76RU","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:I3GL76RU5D5WLHJIIFFAU4XR6I","target":"record","payload":{"canonical_record":{"source":{"id":"1302.2745","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-12T09:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"9bbc4342b40c1a9fcd5f0d29736e4a1c182b82c5f70dd4e9eb08c36c68423104","abstract_canon_sha256":"7f77909c7814fe7d0235f3abd3bb125cb37842fb1a8ecd810a301cb1fba93177"},"schema_version":"1.0"},"canonical_sha256":"46ccbffa34e8fb659d28414a0a72f1f20e792db63e36308a20e3c0d18b02e077","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:18.474530Z","signature_b64":"DxQyan8K+S3q4Xfsh5HaHVIZYvuA77dtBcnT/GPzVcZ4BReoLLZaGS/yYEIMBCp9OAP8KK4N6YHorKh9bsyXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46ccbffa34e8fb659d28414a0a72f1f20e792db63e36308a20e3c0d18b02e077","last_reissued_at":"2026-05-18T03:22:18.473853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:18.473853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.2745","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FeXxGEc7QAcx8jT+cW7iKcQuRnn8ETp7kn+49DgGGM0MdmQ+4Fg4ElOnptUPPZ+i8YIQc/In926LvAVBd9ktAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:55:04.165943Z"},"content_sha256":"97cc16caa400718797a19f38558759bbe5abc8ecc67651637de91dd13b31e86f","schema_version":"1.0","event_id":"sha256:97cc16caa400718797a19f38558759bbe5abc8ecc67651637de91dd13b31e86f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:I3GL76RU5D5WLHJIIFFAU4XR6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite presentability of normal fibre products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Conchita Mart\\'inez-P\\'erez","submitted_at":"2013-02-12T09:56:35Z","abstract_excerpt":"We use Bieri-Strebel invariants to determine when a normal fibre product in the product of two finitely presented groups is finitely presented. We give conditions that imply and in some cases characterize the existence of such finitely presented fibre products."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2745","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7M83fwSsA5OrkrTpKsbgzjqWg3WQV/r/uMIyG1KZTcb/mrWGmxG7thP0McMbtzqiW3EOwa5D1XV1WH7vgZOCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:55:04.166286Z"},"content_sha256":"1553ddbe4a83f01f20973192250fbb6bec1297fa966ec7fdf93c0f1003fdea91","schema_version":"1.0","event_id":"sha256:1553ddbe4a83f01f20973192250fbb6bec1297fa966ec7fdf93c0f1003fdea91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/bundle.json","state_url":"https://pith.science/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/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":"2026-06-03T08:55:04Z","links":{"resolver":"https://pith.science/pith/I3GL76RU5D5WLHJIIFFAU4XR6I","bundle":"https://pith.science/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/bundle.json","state":"https://pith.science/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3GL76RU5D5WLHJIIFFAU4XR6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:I3GL76RU5D5WLHJIIFFAU4XR6I","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":"7f77909c7814fe7d0235f3abd3bb125cb37842fb1a8ecd810a301cb1fba93177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-12T09:56:35Z","title_canon_sha256":"9bbc4342b40c1a9fcd5f0d29736e4a1c182b82c5f70dd4e9eb08c36c68423104"},"schema_version":"1.0","source":{"id":"1302.2745","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2745","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2745v2","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2745","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"I3GL76RU5D5W","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"I3GL76RU5D5WLHJI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"I3GL76RU","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:1553ddbe4a83f01f20973192250fbb6bec1297fa966ec7fdf93c0f1003fdea91","target":"graph","created_at":"2026-05-18T03:22:18Z","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 use Bieri-Strebel invariants to determine when a normal fibre product in the product of two finitely presented groups is finitely presented. We give conditions that imply and in some cases characterize the existence of such finitely presented fibre products.","authors_text":"Conchita Mart\\'inez-P\\'erez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-12T09:56:35Z","title":"Finite presentability of normal fibre products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2745","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":"sha256:97cc16caa400718797a19f38558759bbe5abc8ecc67651637de91dd13b31e86f","target":"record","created_at":"2026-05-18T03:22:18Z","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":"7f77909c7814fe7d0235f3abd3bb125cb37842fb1a8ecd810a301cb1fba93177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-02-12T09:56:35Z","title_canon_sha256":"9bbc4342b40c1a9fcd5f0d29736e4a1c182b82c5f70dd4e9eb08c36c68423104"},"schema_version":"1.0","source":{"id":"1302.2745","kind":"arxiv","version":2}},"canonical_sha256":"46ccbffa34e8fb659d28414a0a72f1f20e792db63e36308a20e3c0d18b02e077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46ccbffa34e8fb659d28414a0a72f1f20e792db63e36308a20e3c0d18b02e077","first_computed_at":"2026-05-18T03:22:18.473853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:18.473853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DxQyan8K+S3q4Xfsh5HaHVIZYvuA77dtBcnT/GPzVcZ4BReoLLZaGS/yYEIMBCp9OAP8KK4N6YHorKh9bsyXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:18.474530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2745","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97cc16caa400718797a19f38558759bbe5abc8ecc67651637de91dd13b31e86f","sha256:1553ddbe4a83f01f20973192250fbb6bec1297fa966ec7fdf93c0f1003fdea91"],"state_sha256":"937afd7e29106f1b54b40713c7d2238d766218786cfc406e9a6f88abb11d7b69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+J+n5MeyorzBDr8KyGoKkwi5EFUQha9QYir39TOfomCm5ZWvUcjBBVhixkNYhSbLkAQL7g+RxqGC4coJnlB/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:55:04.168144Z","bundle_sha256":"00515359051568b467b7d08c2b8980023f1b93f4dc50f2529a2fdd3541368649"}}