{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:COX7GFDBGVTP6WODMGZ4FYBQ4C","short_pith_number":"pith:COX7GFDB","canonical_record":{"source":{"id":"1111.4431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-18T17:10:12Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"79b3dc02c6c325fd5bf4d4953688f2b6a0923b96f146afe692146755ee5d3159","abstract_canon_sha256":"f2c7c56834e4f0496edae29aff7162f1aade1a0f3d6a634e8e99c2ba8e3c1f56"},"schema_version":"1.0"},"canonical_sha256":"13aff314613566ff59c361b3c2e030e098c462c1aef4c024ca99425a61aea013","source":{"kind":"arxiv","id":"1111.4431","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4431","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4431v2","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4431","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"COX7GFDBGVTP","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"COX7GFDBGVTP6WOD","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"COX7GFDB","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:COX7GFDBGVTP6WODMGZ4FYBQ4C","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-18T17:10:12Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"79b3dc02c6c325fd5bf4d4953688f2b6a0923b96f146afe692146755ee5d3159","abstract_canon_sha256":"f2c7c56834e4f0496edae29aff7162f1aade1a0f3d6a634e8e99c2ba8e3c1f56"},"schema_version":"1.0"},"canonical_sha256":"13aff314613566ff59c361b3c2e030e098c462c1aef4c024ca99425a61aea013","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:39.150586Z","signature_b64":"7sb6yXRnY7ZwnTDAc9yrgKZ2CVALZGLrcY4biUdkgiLO0fKdAoq0G0H/mFNttVhHEAo0hWKnBarSPDLy5AhIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13aff314613566ff59c361b3c2e030e098c462c1aef4c024ca99425a61aea013","last_reissued_at":"2026-05-18T04:00:39.149749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:39.149749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4431","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":"2026-05-18T04:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUsQodytBmiDzMLdbJLlTvHcr68S+EXrTg8upvduMh/N90BIApexZJZhKqPVwpI/wnr80iX4WxhNL/5ApXBjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:53:51.734000Z"},"content_sha256":"7e196b5370aa2aafed50b83a1ac995f0e63dc9c3c69beb31dc45f45b48ea6f77","schema_version":"1.0","event_id":"sha256:7e196b5370aa2aafed50b83a1ac995f0e63dc9c3c69beb31dc45f45b48ea6f77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:COX7GFDBGVTP6WODMGZ4FYBQ4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generic bases for cluster algebras from the cluster category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Pierre-Guy Plamondon","submitted_at":"2011-11-18T17:10:12Z","abstract_excerpt":"Inspired by recent work of Geiss-Leclerc-Schroer, we use Hom-finite cluster categories to give a good candidate set for a basis of (upper) cluster algebras with coefficients arising from quivers. This set consists of generic values taken by the cluster character on objects having the same index. If the matrix associated to the quiver is of full rank, then we prove that the elements in this set are linearly independent. If the cluster algebra arises from the setting of Geiss-Leclerc-Schroer, then we obtain the basis found by these authors. We show how our point of view agrees with the spirit of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4431","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":"2026-05-18T04:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s8AKkYOrrVt9YnfK+EHWCbdk4WDCz3lwFmkCNrBOLP+At9KeBG79DV+EdAj+M49+CjrhymcH5ur0wLJljx8ZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:53:51.734726Z"},"content_sha256":"87ea2371ac544fdbcb985d14e836380b896de41ca70b9f0b5a3f7def28ae6921","schema_version":"1.0","event_id":"sha256:87ea2371ac544fdbcb985d14e836380b896de41ca70b9f0b5a3f7def28ae6921"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/bundle.json","state_url":"https://pith.science/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/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":"2026-06-09T03:53:51Z","links":{"resolver":"https://pith.science/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C","bundle":"https://pith.science/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/bundle.json","state":"https://pith.science/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COX7GFDBGVTP6WODMGZ4FYBQ4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:COX7GFDBGVTP6WODMGZ4FYBQ4C","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":"f2c7c56834e4f0496edae29aff7162f1aade1a0f3d6a634e8e99c2ba8e3c1f56","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-18T17:10:12Z","title_canon_sha256":"79b3dc02c6c325fd5bf4d4953688f2b6a0923b96f146afe692146755ee5d3159"},"schema_version":"1.0","source":{"id":"1111.4431","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4431","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4431v2","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4431","created_at":"2026-05-18T04:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"COX7GFDBGVTP","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"COX7GFDBGVTP6WOD","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"COX7GFDB","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:87ea2371ac544fdbcb985d14e836380b896de41ca70b9f0b5a3f7def28ae6921","target":"graph","created_at":"2026-05-18T04:00:39Z","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":"Inspired by recent work of Geiss-Leclerc-Schroer, we use Hom-finite cluster categories to give a good candidate set for a basis of (upper) cluster algebras with coefficients arising from quivers. This set consists of generic values taken by the cluster character on objects having the same index. If the matrix associated to the quiver is of full rank, then we prove that the elements in this set are linearly independent. If the cluster algebra arises from the setting of Geiss-Leclerc-Schroer, then we obtain the basis found by these authors. We show how our point of view agrees with the spirit of","authors_text":"Pierre-Guy Plamondon","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-18T17:10:12Z","title":"Generic bases for cluster algebras from the cluster category"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4431","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":"sha256:7e196b5370aa2aafed50b83a1ac995f0e63dc9c3c69beb31dc45f45b48ea6f77","target":"record","created_at":"2026-05-18T04:00:39Z","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":"f2c7c56834e4f0496edae29aff7162f1aade1a0f3d6a634e8e99c2ba8e3c1f56","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-18T17:10:12Z","title_canon_sha256":"79b3dc02c6c325fd5bf4d4953688f2b6a0923b96f146afe692146755ee5d3159"},"schema_version":"1.0","source":{"id":"1111.4431","kind":"arxiv","version":2}},"canonical_sha256":"13aff314613566ff59c361b3c2e030e098c462c1aef4c024ca99425a61aea013","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13aff314613566ff59c361b3c2e030e098c462c1aef4c024ca99425a61aea013","first_computed_at":"2026-05-18T04:00:39.149749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:39.149749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sb6yXRnY7ZwnTDAc9yrgKZ2CVALZGLrcY4biUdkgiLO0fKdAoq0G0H/mFNttVhHEAo0hWKnBarSPDLy5AhIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:39.150586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4431","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e196b5370aa2aafed50b83a1ac995f0e63dc9c3c69beb31dc45f45b48ea6f77","sha256:87ea2371ac544fdbcb985d14e836380b896de41ca70b9f0b5a3f7def28ae6921"],"state_sha256":"395ff735ec7c979194992fc4f91b656506a06929749bf34037f7834bb069e8e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PJxpQPx4cxq4tE6smc8GSnp8eOXvi+TdwLBJIsb0ca7U/Qg6rxWw4oWqF/XUx9KNpQj3ldU+rp15hzwGaU3jDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:53:51.738350Z","bundle_sha256":"72c4e1acb4fde8c6e6134a5034a0428dbcd725adcc9a203ad63de993991504dc"}}