{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:O7R25IXV4OATY2FP3QFOQVJ45A","short_pith_number":"pith:O7R25IXV","canonical_record":{"source":{"id":"1109.6054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-27T22:07:50Z","cross_cats_sorted":[],"title_canon_sha256":"f0e9898835ca7867c87b8cafde49b45467f47ee4e0e984ae1e77a89ac3baeb59","abstract_canon_sha256":"7a3b2c08b59163b0575e60b28967eb895f2a74a739a54f4d6bed16c83660c7bd"},"schema_version":"1.0"},"canonical_sha256":"77e3aea2f5e3813c68afdc0ae8553ce838e0d47b6b9aa630562b95e874a7d84e","source":{"kind":"arxiv","id":"1109.6054","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6054","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6054v1","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6054","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"O7R25IXV4OAT","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O7R25IXV4OATY2FP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O7R25IXV","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:O7R25IXV4OATY2FP3QFOQVJ45A","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-27T22:07:50Z","cross_cats_sorted":[],"title_canon_sha256":"f0e9898835ca7867c87b8cafde49b45467f47ee4e0e984ae1e77a89ac3baeb59","abstract_canon_sha256":"7a3b2c08b59163b0575e60b28967eb895f2a74a739a54f4d6bed16c83660c7bd"},"schema_version":"1.0"},"canonical_sha256":"77e3aea2f5e3813c68afdc0ae8553ce838e0d47b6b9aa630562b95e874a7d84e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:09.839296Z","signature_b64":"DtfNzeTzoPihjigOINV5etfjg++CBphJpahQt2wXPJTGla8tl9uCLCBZXH6MH3HVbDyhZ1RiIvdAUmsJ6qc6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77e3aea2f5e3813c68afdc0ae8553ce838e0d47b6b9aa630562b95e874a7d84e","last_reissued_at":"2026-05-18T04:12:09.838857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:09.838857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6054","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":"2026-05-18T04:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+qtEmYyrpYSU2MhZFkfrHrg6uvvCOuQAtt5xOUCi2DaNpBNRrLFWaaPNRKWWeR1jXZYTDwr0QmSxBRY1ARYsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:07:00.803961Z"},"content_sha256":"0596c47fe2902abc6935dd854352c4180af7023f39932a088ff7e1138cfba4a4","schema_version":"1.0","event_id":"sha256:0596c47fe2902abc6935dd854352c4180af7023f39932a088ff7e1138cfba4a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:O7R25IXV4OATY2FP3QFOQVJ45A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Amalgamated algebra extensions defined by Von Neumann regular and SFT conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Khalid Louartiti, Najib Mahdou","submitted_at":"2011-09-27T22:07:50Z","abstract_excerpt":"Let $f:A\\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we characterize $R\\bowtie^fJ$ to be Von Neumann regular ring and SFT ring, respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6054","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":"2026-05-18T04:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wEyMcaZohSV3i0AOv3XRb5DOiM+oFMtAX24nKQ+nFk4MKyX80GjgYWyE3WwcP4vwU3Ro4pBs3UpKP04F5dGxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:07:00.804305Z"},"content_sha256":"804d656b8b2dd1c717b264c7df1a5dbaca9ecce09bcfdb905b28f99fcd5976d3","schema_version":"1.0","event_id":"sha256:804d656b8b2dd1c717b264c7df1a5dbaca9ecce09bcfdb905b28f99fcd5976d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O7R25IXV4OATY2FP3QFOQVJ45A/bundle.json","state_url":"https://pith.science/pith/O7R25IXV4OATY2FP3QFOQVJ45A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O7R25IXV4OATY2FP3QFOQVJ45A/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":"2026-06-24T22:07:00Z","links":{"resolver":"https://pith.science/pith/O7R25IXV4OATY2FP3QFOQVJ45A","bundle":"https://pith.science/pith/O7R25IXV4OATY2FP3QFOQVJ45A/bundle.json","state":"https://pith.science/pith/O7R25IXV4OATY2FP3QFOQVJ45A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O7R25IXV4OATY2FP3QFOQVJ45A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O7R25IXV4OATY2FP3QFOQVJ45A","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":"7a3b2c08b59163b0575e60b28967eb895f2a74a739a54f4d6bed16c83660c7bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-27T22:07:50Z","title_canon_sha256":"f0e9898835ca7867c87b8cafde49b45467f47ee4e0e984ae1e77a89ac3baeb59"},"schema_version":"1.0","source":{"id":"1109.6054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6054","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6054v1","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6054","created_at":"2026-05-18T04:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"O7R25IXV4OAT","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O7R25IXV4OATY2FP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O7R25IXV","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:804d656b8b2dd1c717b264c7df1a5dbaca9ecce09bcfdb905b28f99fcd5976d3","target":"graph","created_at":"2026-05-18T04:12:09Z","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":"Let $f:A\\rightarrow B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we characterize $R\\bowtie^fJ$ to be Von Neumann regular ring and SFT ring, respectively.","authors_text":"Khalid Louartiti, Najib Mahdou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-27T22:07:50Z","title":"Amalgamated algebra extensions defined by Von Neumann regular and SFT conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6054","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":"sha256:0596c47fe2902abc6935dd854352c4180af7023f39932a088ff7e1138cfba4a4","target":"record","created_at":"2026-05-18T04:12:09Z","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":"7a3b2c08b59163b0575e60b28967eb895f2a74a739a54f4d6bed16c83660c7bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-27T22:07:50Z","title_canon_sha256":"f0e9898835ca7867c87b8cafde49b45467f47ee4e0e984ae1e77a89ac3baeb59"},"schema_version":"1.0","source":{"id":"1109.6054","kind":"arxiv","version":1}},"canonical_sha256":"77e3aea2f5e3813c68afdc0ae8553ce838e0d47b6b9aa630562b95e874a7d84e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77e3aea2f5e3813c68afdc0ae8553ce838e0d47b6b9aa630562b95e874a7d84e","first_computed_at":"2026-05-18T04:12:09.838857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:09.838857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DtfNzeTzoPihjigOINV5etfjg++CBphJpahQt2wXPJTGla8tl9uCLCBZXH6MH3HVbDyhZ1RiIvdAUmsJ6qc6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:09.839296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0596c47fe2902abc6935dd854352c4180af7023f39932a088ff7e1138cfba4a4","sha256:804d656b8b2dd1c717b264c7df1a5dbaca9ecce09bcfdb905b28f99fcd5976d3"],"state_sha256":"bc1e2e5ad6801270b1aa352c5924a912f58bea4fff8ba93ebfee96e5241c230c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vxZTiPBZDCoLyBMZYlcbDQtzXYHyAe1Z7pdMuwWafsAQtdTThHr0EEtAi0SeuBZEx1bvsh7CK28geyaDhernCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:07:00.806426Z","bundle_sha256":"41143c80fde3361232b0fad6f7e72956c3d04c967452e31258410c18ad0f3153"}}