{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4PBWATMMAJZ2RLMJ6UXPQBMZCT","short_pith_number":"pith:4PBWATMM","canonical_record":{"source":{"id":"1011.6659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-30T20:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"ec51cf34bfccfd46c988ee60f44d1f7ef1c97851a83a59faa48117be1e80603b","abstract_canon_sha256":"1961882638a5c8bd2243ef3a936ac4e591fc4c04bd772ca07f00183034c7af34"},"schema_version":"1.0"},"canonical_sha256":"e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82","source":{"kind":"arxiv","id":"1011.6659","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6659","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6659v1","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6659","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"pith_short_12","alias_value":"4PBWATMMAJZ2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4PBWATMMAJZ2RLMJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4PBWATMM","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4PBWATMMAJZ2RLMJ6UXPQBMZCT","target":"record","payload":{"canonical_record":{"source":{"id":"1011.6659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-30T20:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"ec51cf34bfccfd46c988ee60f44d1f7ef1c97851a83a59faa48117be1e80603b","abstract_canon_sha256":"1961882638a5c8bd2243ef3a936ac4e591fc4c04bd772ca07f00183034c7af34"},"schema_version":"1.0"},"canonical_sha256":"e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:26.356300Z","signature_b64":"RAsP7chENoWbzrqN/l2ToHoOexeasygszHwE1axrjJ2ZVbJEYkKIaBZgnAzy0oSrFjajMSwIaNajVrHemcBuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82","last_reissued_at":"2026-05-18T04:34:26.355736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:26.355736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.6659","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":"2026-05-18T04:34:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMJqQ0+qY1QlWjpy6JU4cypWDGYsav5xdVapviU5kBlHwuAT5u3CitvkuVOFlEJ1kg8IM9zy5HshBfs7ncblCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:00:14.525113Z"},"content_sha256":"9659dff5f948aa4f25dc79ab32435ccfcbab731682ef266a64107431d491fbc8","schema_version":"1.0","event_id":"sha256:9659dff5f948aa4f25dc79ab32435ccfcbab731682ef266a64107431d491fbc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4PBWATMMAJZ2RLMJ6UXPQBMZCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal blocks divisors on $\\bar{M}_{0,n}$ from $sl_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Angela Gibney, David Swinarski, Valery Alexeev","submitted_at":"2010-11-30T20:05:19Z","abstract_excerpt":"We study a family of semiample divisors on $\\bar{M}_{0,n}$ defined using conformal blocks and analyze their associated morphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6659","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":"2026-05-18T04:34:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TAUrRB67h3GLcMjnCWzHRCLrMjM0hp6ASw8OX8z4/X2m/fBFtVlzGT7sKcf5DAupCc8eZ2vmpjQjEV9qBIHIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:00:14.525773Z"},"content_sha256":"ac40a01212df4e80f8461240e87faa068127570d8c550b17b36d2d14a194b264","schema_version":"1.0","event_id":"sha256:ac40a01212df4e80f8461240e87faa068127570d8c550b17b36d2d14a194b264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/bundle.json","state_url":"https://pith.science/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/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":"2026-06-06T16:00:14Z","links":{"resolver":"https://pith.science/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT","bundle":"https://pith.science/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/bundle.json","state":"https://pith.science/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4PBWATMMAJZ2RLMJ6UXPQBMZCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4PBWATMMAJZ2RLMJ6UXPQBMZCT","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":"1961882638a5c8bd2243ef3a936ac4e591fc4c04bd772ca07f00183034c7af34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-30T20:05:19Z","title_canon_sha256":"ec51cf34bfccfd46c988ee60f44d1f7ef1c97851a83a59faa48117be1e80603b"},"schema_version":"1.0","source":{"id":"1011.6659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6659","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6659v1","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6659","created_at":"2026-05-18T04:34:26Z"},{"alias_kind":"pith_short_12","alias_value":"4PBWATMMAJZ2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4PBWATMMAJZ2RLMJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4PBWATMM","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:ac40a01212df4e80f8461240e87faa068127570d8c550b17b36d2d14a194b264","target":"graph","created_at":"2026-05-18T04:34:26Z","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 study a family of semiample divisors on $\\bar{M}_{0,n}$ defined using conformal blocks and analyze their associated morphisms.","authors_text":"Angela Gibney, David Swinarski, Valery Alexeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-30T20:05:19Z","title":"Conformal blocks divisors on $\\bar{M}_{0,n}$ from $sl_2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6659","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":"sha256:9659dff5f948aa4f25dc79ab32435ccfcbab731682ef266a64107431d491fbc8","target":"record","created_at":"2026-05-18T04:34:26Z","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":"1961882638a5c8bd2243ef3a936ac4e591fc4c04bd772ca07f00183034c7af34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-30T20:05:19Z","title_canon_sha256":"ec51cf34bfccfd46c988ee60f44d1f7ef1c97851a83a59faa48117be1e80603b"},"schema_version":"1.0","source":{"id":"1011.6659","kind":"arxiv","version":1}},"canonical_sha256":"e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82","first_computed_at":"2026-05-18T04:34:26.355736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:26.355736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RAsP7chENoWbzrqN/l2ToHoOexeasygszHwE1axrjJ2ZVbJEYkKIaBZgnAzy0oSrFjajMSwIaNajVrHemcBuAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:26.356300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.6659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9659dff5f948aa4f25dc79ab32435ccfcbab731682ef266a64107431d491fbc8","sha256:ac40a01212df4e80f8461240e87faa068127570d8c550b17b36d2d14a194b264"],"state_sha256":"3ffe1e2c9927de4c15a5c6431ac723560cec2faca4761b4cbe2f399282912671"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HQ+LXVVWGrqqdfPRd5xf7PF46W9J3c+Ptcyo3UdpMK80ErTOYUQbniLuRVEdnTaMrg67EPKGHJYZgUQM9G2UCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:00:14.528952Z","bundle_sha256":"7cdc3aee6658b83ee68dfdf6c63e9eb993bc552698f6a6e46f3b2fc2bc069f55"}}