{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4Q5AEKRPFNXXQGMK5LRCAMKXJ7","short_pith_number":"pith:4Q5AEKRP","canonical_record":{"source":{"id":"1311.7172","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-27T22:53:19Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"c0afb131845c357f0a121db7e308e5f358059b1ee71a446fbef4898f6f487637","abstract_canon_sha256":"fe86a492b5acfb76549c43d18a5d8780133e942fb39faf6225cd73fb924679d4"},"schema_version":"1.0"},"canonical_sha256":"e43a022a2f2b6f78198aeae22031574fe8d65e7589a23c1632d035ee5e8f2dfe","source":{"kind":"arxiv","id":"1311.7172","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7172","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7172v5","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7172","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"4Q5AEKRPFNXX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4Q5AEKRPFNXXQGMK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4Q5AEKRP","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4Q5AEKRPFNXXQGMK5LRCAMKXJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1311.7172","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-27T22:53:19Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"c0afb131845c357f0a121db7e308e5f358059b1ee71a446fbef4898f6f487637","abstract_canon_sha256":"fe86a492b5acfb76549c43d18a5d8780133e942fb39faf6225cd73fb924679d4"},"schema_version":"1.0"},"canonical_sha256":"e43a022a2f2b6f78198aeae22031574fe8d65e7589a23c1632d035ee5e8f2dfe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:00.719414Z","signature_b64":"L1yP7hSCjpw/vhQYmk7U7xVtxm8l75q5f2/nTgVk494rN/5KgLg9EEbzTifyCo2STmzaW+fWj7QzZAVzfSPzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e43a022a2f2b6f78198aeae22031574fe8d65e7589a23c1632d035ee5e8f2dfe","last_reissued_at":"2026-05-18T01:01:00.718634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:00.718634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.7172","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zq2IHIOphYTpmOI5LLyxLC/vLT0lwIQeOVj9rUyfjqD6jMhISKaoopkVw7KdP/oysXAJ1U/8BiQFup0y9VdxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:22:16.014941Z"},"content_sha256":"d23add06d43d84b2c0a8111d93666dfa9ba166901f86cd5fc78dc86ff6d0c350","schema_version":"1.0","event_id":"sha256:d23add06d43d84b2c0a8111d93666dfa9ba166901f86cd5fc78dc86ff6d0c350"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4Q5AEKRPFNXXQGMK5LRCAMKXJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The critical CoHA of a quiver with potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.AG","authors_text":"Ben Davison","submitted_at":"2013-11-27T22:53:19Z","abstract_excerpt":"Pursuing the similarity between the Kontsevich--Soibelman construction of the cohomological Hall algebra of BPS states and Lusztig's construction of canonical bases for quantum enveloping algebras, and the similarity between the inetgrality conjecture for motivic Donaldson--Thomas invariants and the PBW theorem for quantum enveloping algebras, we build a coproduct on the cohomological Hall algebra associated to a quiver with potential. We also prove a cohomological dimensional reduction theorem, further linking a special class of cohomological Hall algebras with Yangians, and explaining how to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7172","kind":"arxiv","version":5},"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":"2026-05-18T01:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"odhxxelnH3NTqKxqEUTGcLtaM4xJ9G0vGlX+/5h6qbStL7RSYvtO0KQGm/gMdyNwIdlW5Rqxzd/nOZSQEDy4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:22:16.015295Z"},"content_sha256":"3db5f9367481ae259a1c423856ce2a9a5400e8b82ad328e11451f5be4143ad3b","schema_version":"1.0","event_id":"sha256:3db5f9367481ae259a1c423856ce2a9a5400e8b82ad328e11451f5be4143ad3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/bundle.json","state_url":"https://pith.science/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/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":"2026-05-31T04:22:16Z","links":{"resolver":"https://pith.science/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7","bundle":"https://pith.science/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/bundle.json","state":"https://pith.science/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q5AEKRPFNXXQGMK5LRCAMKXJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4Q5AEKRPFNXXQGMK5LRCAMKXJ7","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":"fe86a492b5acfb76549c43d18a5d8780133e942fb39faf6225cd73fb924679d4","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-27T22:53:19Z","title_canon_sha256":"c0afb131845c357f0a121db7e308e5f358059b1ee71a446fbef4898f6f487637"},"schema_version":"1.0","source":{"id":"1311.7172","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7172","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7172v5","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7172","created_at":"2026-05-18T01:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"4Q5AEKRPFNXX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4Q5AEKRPFNXXQGMK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4Q5AEKRP","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:3db5f9367481ae259a1c423856ce2a9a5400e8b82ad328e11451f5be4143ad3b","target":"graph","created_at":"2026-05-18T01:01:00Z","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":"Pursuing the similarity between the Kontsevich--Soibelman construction of the cohomological Hall algebra of BPS states and Lusztig's construction of canonical bases for quantum enveloping algebras, and the similarity between the inetgrality conjecture for motivic Donaldson--Thomas invariants and the PBW theorem for quantum enveloping algebras, we build a coproduct on the cohomological Hall algebra associated to a quiver with potential. We also prove a cohomological dimensional reduction theorem, further linking a special class of cohomological Hall algebras with Yangians, and explaining how to","authors_text":"Ben Davison","cross_cats":["hep-th","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-27T22:53:19Z","title":"The critical CoHA of a quiver with potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7172","kind":"arxiv","version":5},"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:d23add06d43d84b2c0a8111d93666dfa9ba166901f86cd5fc78dc86ff6d0c350","target":"record","created_at":"2026-05-18T01:01:00Z","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":"fe86a492b5acfb76549c43d18a5d8780133e942fb39faf6225cd73fb924679d4","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-27T22:53:19Z","title_canon_sha256":"c0afb131845c357f0a121db7e308e5f358059b1ee71a446fbef4898f6f487637"},"schema_version":"1.0","source":{"id":"1311.7172","kind":"arxiv","version":5}},"canonical_sha256":"e43a022a2f2b6f78198aeae22031574fe8d65e7589a23c1632d035ee5e8f2dfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e43a022a2f2b6f78198aeae22031574fe8d65e7589a23c1632d035ee5e8f2dfe","first_computed_at":"2026-05-18T01:01:00.718634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:00.718634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L1yP7hSCjpw/vhQYmk7U7xVtxm8l75q5f2/nTgVk494rN/5KgLg9EEbzTifyCo2STmzaW+fWj7QzZAVzfSPzAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:00.719414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.7172","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d23add06d43d84b2c0a8111d93666dfa9ba166901f86cd5fc78dc86ff6d0c350","sha256:3db5f9367481ae259a1c423856ce2a9a5400e8b82ad328e11451f5be4143ad3b"],"state_sha256":"5a906ce992ba60f957a34da6cfb7cc725dcd6d779a1635ed6afa873fcce2973c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52mXcgVUGM+xR8Fb95V4zIgu3+KIxeBlyNge+Q8zDpxeEpGNaZspNcx+WV9F9hqwtv1dIC24JHnUz4Y+BGbMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:22:16.018046Z","bundle_sha256":"2f4474ee100650bc544fc5f319111fb2276834a1084a2aad6942cc660854ac0e"}}