{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WVSN2GPEUPR2TAPB2CWVBQCHY5","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":"71c42099f24d42c007243b63459c24456dcbecaffd16e2e7af0189fafc27af0b","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-13T20:49:48Z","title_canon_sha256":"6622a9c2bc07d4f3c137fc520b947628e2b4d8cfaecea0e62e5a2d095ce7faee"},"schema_version":"1.0","source":{"id":"1107.2676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2676","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2676v1","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2676","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"WVSN2GPEUPR2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WVSN2GPEUPR2TAPB","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WVSN2GPE","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:48fd1a78c02fb004c38d2dcf8c88e59b1093d9a98c17c5bd19adecbe6b886139","target":"graph","created_at":"2026-05-18T04:18:15Z","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":"These are lecture notes from the IMPANGA 2010 Summer school. They give an introduction to log canonical thresholds, covering some basic properties, examples, and some recent results and open questions.","authors_text":"Mircea Mustata","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-13T20:49:48Z","title":"IMPANGA lecture notes on log canonical thresholds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2676","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":"sha256:0b85698d10bf17c2823447c4bcfced52d5788417f3979ea4cdba264e7fe33fed","target":"record","created_at":"2026-05-18T04:18:15Z","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":"71c42099f24d42c007243b63459c24456dcbecaffd16e2e7af0189fafc27af0b","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-13T20:49:48Z","title_canon_sha256":"6622a9c2bc07d4f3c137fc520b947628e2b4d8cfaecea0e62e5a2d095ce7faee"},"schema_version":"1.0","source":{"id":"1107.2676","kind":"arxiv","version":1}},"canonical_sha256":"b564dd19e4a3e3a981e1d0ad50c047c74beb67aa2e162dd27e71293dfa0557e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b564dd19e4a3e3a981e1d0ad50c047c74beb67aa2e162dd27e71293dfa0557e4","first_computed_at":"2026-05-18T04:18:15.852829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:15.852829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OkaB3ORTZOakhCe006/4XeynSTic0s9+jH1r6yAqJPjTxl7yKHqrmvkBKUe3t5lPViJVoX1JPH28IkYjtsR4DA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:15.853243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b85698d10bf17c2823447c4bcfced52d5788417f3979ea4cdba264e7fe33fed","sha256:48fd1a78c02fb004c38d2dcf8c88e59b1093d9a98c17c5bd19adecbe6b886139"],"state_sha256":"29822fc6e77d62eede295fbe8ba32be8645e94ee2ec0da8488c998df12638558"}