{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DOWBIJ4ZCQ7A3TQ72SDXW5F3YA","short_pith_number":"pith:DOWBIJ4Z","canonical_record":{"source":{"id":"1711.01876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-06T13:25:59Z","cross_cats_sorted":["math.KT","math.RT"],"title_canon_sha256":"c903388ae036d74162c2166be3a3b81b5d9d57d8c8a29b8ba7c8c83f299f7923","abstract_canon_sha256":"47b60e212e3915a18f05c1c36e64c4e191df70060f4b27d79f53b3a7fa987932"},"schema_version":"1.0"},"canonical_sha256":"1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879","source":{"kind":"arxiv","id":"1711.01876","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01876","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01876v1","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01876","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"DOWBIJ4ZCQ7A","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DOWBIJ4ZCQ7A3TQ7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DOWBIJ4Z","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DOWBIJ4ZCQ7A3TQ72SDXW5F3YA","target":"record","payload":{"canonical_record":{"source":{"id":"1711.01876","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-06T13:25:59Z","cross_cats_sorted":["math.KT","math.RT"],"title_canon_sha256":"c903388ae036d74162c2166be3a3b81b5d9d57d8c8a29b8ba7c8c83f299f7923","abstract_canon_sha256":"47b60e212e3915a18f05c1c36e64c4e191df70060f4b27d79f53b3a7fa987932"},"schema_version":"1.0"},"canonical_sha256":"1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:16.650963Z","signature_b64":"Q0EX/P/BfjkNHavqqydb4TVjNNqK5JbSLkI/bQnTc8uslU395JRAshxDdbVsP1mD2MGgrh5P4x/mXVD57KlPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879","last_reissued_at":"2026-05-18T00:31:16.650510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:16.650510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.01876","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":"2026-05-18T00:31:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbA2MFdxTux4gztXCFX1TDMA5oVASTWoczmuuenViV4OIkMNdJXrt2GHKYZwGlL98c1d4Eim/JLMhY+JXK1lAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:15:37.098960Z"},"content_sha256":"52306fbe082d55e286af79d9c53904cb35f31539f739704027c51449896d04be","schema_version":"1.0","event_id":"sha256:52306fbe082d55e286af79d9c53904cb35f31539f739704027c51449896d04be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DOWBIJ4ZCQ7A3TQ72SDXW5F3YA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An explicit projective bimodule resolution of a Leavitt path algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.RT"],"primary_cat":"math.RA","authors_text":"Huanhuan Li, Xiao-Wu Chen, Zhengfang Wang","submitted_at":"2017-11-06T13:25:59Z","abstract_excerpt":"We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Hochschild cohomolgical dimension at most one, that is, it is quasi-free in the sense of Cuntz-Quillen. The construction of the resolution relies on an explicit derivation of the Leavitt path algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01876","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":"2026-05-18T00:31:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+S3+yEV5MvZrq87iTZtDAt/LaM4JastJUQ/3P3bPfg5n70ntZMhwLxFdknPsKGJ6H7EYmTQKywnkDpcsn4WBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:15:37.099308Z"},"content_sha256":"c216946a717d2ac0b22a6c3b938bae80fe372c3a274d88e60794ed4abeaa57c7","schema_version":"1.0","event_id":"sha256:c216946a717d2ac0b22a6c3b938bae80fe372c3a274d88e60794ed4abeaa57c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/bundle.json","state_url":"https://pith.science/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/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":"2026-05-28T12:15:37Z","links":{"resolver":"https://pith.science/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA","bundle":"https://pith.science/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/bundle.json","state":"https://pith.science/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DOWBIJ4ZCQ7A3TQ72SDXW5F3YA","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":"47b60e212e3915a18f05c1c36e64c4e191df70060f4b27d79f53b3a7fa987932","cross_cats_sorted":["math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-06T13:25:59Z","title_canon_sha256":"c903388ae036d74162c2166be3a3b81b5d9d57d8c8a29b8ba7c8c83f299f7923"},"schema_version":"1.0","source":{"id":"1711.01876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01876","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01876v1","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01876","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"DOWBIJ4ZCQ7A","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DOWBIJ4ZCQ7A3TQ7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DOWBIJ4Z","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:c216946a717d2ac0b22a6c3b938bae80fe372c3a274d88e60794ed4abeaa57c7","target":"graph","created_at":"2026-05-18T00:31:16Z","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 an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Hochschild cohomolgical dimension at most one, that is, it is quasi-free in the sense of Cuntz-Quillen. The construction of the resolution relies on an explicit derivation of the Leavitt path algebra.","authors_text":"Huanhuan Li, Xiao-Wu Chen, Zhengfang Wang","cross_cats":["math.KT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-06T13:25:59Z","title":"An explicit projective bimodule resolution of a Leavitt path algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01876","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":"sha256:52306fbe082d55e286af79d9c53904cb35f31539f739704027c51449896d04be","target":"record","created_at":"2026-05-18T00:31:16Z","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":"47b60e212e3915a18f05c1c36e64c4e191df70060f4b27d79f53b3a7fa987932","cross_cats_sorted":["math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-06T13:25:59Z","title_canon_sha256":"c903388ae036d74162c2166be3a3b81b5d9d57d8c8a29b8ba7c8c83f299f7923"},"schema_version":"1.0","source":{"id":"1711.01876","kind":"arxiv","version":1}},"canonical_sha256":"1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879","first_computed_at":"2026-05-18T00:31:16.650510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:16.650510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q0EX/P/BfjkNHavqqydb4TVjNNqK5JbSLkI/bQnTc8uslU395JRAshxDdbVsP1mD2MGgrh5P4x/mXVD57KlPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:16.650963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52306fbe082d55e286af79d9c53904cb35f31539f739704027c51449896d04be","sha256:c216946a717d2ac0b22a6c3b938bae80fe372c3a274d88e60794ed4abeaa57c7"],"state_sha256":"6cddbfc95d44d5a8bd3fdcfd419f40185de8292b498c8ad1ac9479390fc361cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0kNDb9KsmMLXDHCT+Jnbqpi1qVUCu+tQfEfXVCi0O70yo6kZpvGFhF66Bd/KeeDwIMFxE3s5ZI07B5mB8oGBCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:15:37.101264Z","bundle_sha256":"22b5bab25400c8228f6f4e30e541ad3c9ef4e4873b19c8323c5816ecef9c7b2d"}}