{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RDLAOVSD4TV6RPRWZVRWVUEDNV","short_pith_number":"pith:RDLAOVSD","canonical_record":{"source":{"id":"1311.1782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-07T19:07:37Z","cross_cats_sorted":[],"title_canon_sha256":"5e32565381be44e1f119604deb83147d6a5706510dabe6bb707329c001af1e5e","abstract_canon_sha256":"734889ef4eaa5a96461321714df642784a0efaf044b19c556fb8bb606562d27b"},"schema_version":"1.0"},"canonical_sha256":"88d6075643e4ebe8be36cd636ad0836d481f8ad95533349487247d224be3c068","source":{"kind":"arxiv","id":"1311.1782","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1782","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1782v2","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1782","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"RDLAOVSD4TV6","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RDLAOVSD4TV6RPRW","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RDLAOVSD","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RDLAOVSD4TV6RPRWZVRWVUEDNV","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-07T19:07:37Z","cross_cats_sorted":[],"title_canon_sha256":"5e32565381be44e1f119604deb83147d6a5706510dabe6bb707329c001af1e5e","abstract_canon_sha256":"734889ef4eaa5a96461321714df642784a0efaf044b19c556fb8bb606562d27b"},"schema_version":"1.0"},"canonical_sha256":"88d6075643e4ebe8be36cd636ad0836d481f8ad95533349487247d224be3c068","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:12.752032Z","signature_b64":"AjHX8CYBn1TLCakRBvNVgGDWluIQygNzg2LhaUrRcZWZ755f2bNZRF2TglDyESl1fpY2eVaTCovXpECehCn8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88d6075643e4ebe8be36cd636ad0836d481f8ad95533349487247d224be3c068","last_reissued_at":"2026-05-18T02:20:12.751646Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:12.751646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1782","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":"2026-05-18T02:20:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5F3TkfTqz7JrP/D/wDaXQ6di24NnP+hdy3JrlgUkXZsmAHdjjpWFPkKAoMRm0wv9XaqvuPhO8TChXV2R2dLiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:14:48.639501Z"},"content_sha256":"d410784c84644eed7f48dc4fc1fbccb175d00f0b8c74d2dd9827a30906f96051","schema_version":"1.0","event_id":"sha256:d410784c84644eed7f48dc4fc1fbccb175d00f0b8c74d2dd9827a30906f96051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RDLAOVSD4TV6RPRWZVRWVUEDNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relations on Mbar_{g,n} via orbifold stable maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emily Clader","submitted_at":"2013-11-07T19:07:37Z","abstract_excerpt":"Using the equivariant virtual cycle of the moduli space of stable maps to [C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a certain vector bundle over the moduli space of stable maps to BZ_r, we derive relations in the Chow ring of Mbar_{g,n}(BZ_r,0). These push forward to yield tautological relations on Mbar_{g,n}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1782","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":"2026-05-18T02:20:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MAGl+pu3lH9bTMX/2cAYuJPDE7OxP3BsJcRC3xUWsVT1dlwmUjHhMBgCq7F1YJYvMI/7CDOjFb+45UovKOPqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:14:48.640166Z"},"content_sha256":"4239486bd09178712f035808ed928d991af03bebadbd1dd05bfb03c379b500ec","schema_version":"1.0","event_id":"sha256:4239486bd09178712f035808ed928d991af03bebadbd1dd05bfb03c379b500ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/bundle.json","state_url":"https://pith.science/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/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":"2026-06-06T13:14:48Z","links":{"resolver":"https://pith.science/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV","bundle":"https://pith.science/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/bundle.json","state":"https://pith.science/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDLAOVSD4TV6RPRWZVRWVUEDNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RDLAOVSD4TV6RPRWZVRWVUEDNV","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":"734889ef4eaa5a96461321714df642784a0efaf044b19c556fb8bb606562d27b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-07T19:07:37Z","title_canon_sha256":"5e32565381be44e1f119604deb83147d6a5706510dabe6bb707329c001af1e5e"},"schema_version":"1.0","source":{"id":"1311.1782","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1782","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1782v2","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1782","created_at":"2026-05-18T02:20:12Z"},{"alias_kind":"pith_short_12","alias_value":"RDLAOVSD4TV6","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RDLAOVSD4TV6RPRW","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RDLAOVSD","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:4239486bd09178712f035808ed928d991af03bebadbd1dd05bfb03c379b500ec","target":"graph","created_at":"2026-05-18T02:20:12Z","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":"Using the equivariant virtual cycle of the moduli space of stable maps to [C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a certain vector bundle over the moduli space of stable maps to BZ_r, we derive relations in the Chow ring of Mbar_{g,n}(BZ_r,0). These push forward to yield tautological relations on Mbar_{g,n}.","authors_text":"Emily Clader","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-07T19:07:37Z","title":"Relations on Mbar_{g,n} via orbifold stable maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1782","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:d410784c84644eed7f48dc4fc1fbccb175d00f0b8c74d2dd9827a30906f96051","target":"record","created_at":"2026-05-18T02:20:12Z","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":"734889ef4eaa5a96461321714df642784a0efaf044b19c556fb8bb606562d27b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-07T19:07:37Z","title_canon_sha256":"5e32565381be44e1f119604deb83147d6a5706510dabe6bb707329c001af1e5e"},"schema_version":"1.0","source":{"id":"1311.1782","kind":"arxiv","version":2}},"canonical_sha256":"88d6075643e4ebe8be36cd636ad0836d481f8ad95533349487247d224be3c068","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88d6075643e4ebe8be36cd636ad0836d481f8ad95533349487247d224be3c068","first_computed_at":"2026-05-18T02:20:12.751646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:12.751646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AjHX8CYBn1TLCakRBvNVgGDWluIQygNzg2LhaUrRcZWZ755f2bNZRF2TglDyESl1fpY2eVaTCovXpECehCn8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:12.752032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1782","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d410784c84644eed7f48dc4fc1fbccb175d00f0b8c74d2dd9827a30906f96051","sha256:4239486bd09178712f035808ed928d991af03bebadbd1dd05bfb03c379b500ec"],"state_sha256":"ad99ccd3ad0b969e262b97bcd57303ce594395d01813538904abc650f20dfafd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7N1Q73m5ZbmPHM7JnKYyGzjNJNG1o7qHLoOAlxOSnE69hqHV0zRJQKq5jGnR3lM1mTV9pFifhj/uWPb6COGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T13:14:48.643751Z","bundle_sha256":"857282c2a0dac22d8dc331b8339f05fdb1fae7c624b792b1d4c9fe08213eb38c"}}