{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:P5XV3MY3MWKMSB4ADKL562OHQV","short_pith_number":"pith:P5XV3MY3","canonical_record":{"source":{"id":"1309.6262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-24T17:34:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"584133813bb4b6179337e3ba37232d7da75706300b43898a7fd5865e91027aab","abstract_canon_sha256":"7178e244fe6e8fd498efe7c657391b55ec18e94ba203aef9c33b012204ea7271"},"schema_version":"1.0"},"canonical_sha256":"7f6f5db31b6594c907801a97df69c78571938904dbc13503158f85cb500a0791","source":{"kind":"arxiv","id":"1309.6262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6262","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6262v1","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6262","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"P5XV3MY3MWKM","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"P5XV3MY3MWKMSB4A","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"P5XV3MY3","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:P5XV3MY3MWKMSB4ADKL562OHQV","target":"record","payload":{"canonical_record":{"source":{"id":"1309.6262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-24T17:34:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"584133813bb4b6179337e3ba37232d7da75706300b43898a7fd5865e91027aab","abstract_canon_sha256":"7178e244fe6e8fd498efe7c657391b55ec18e94ba203aef9c33b012204ea7271"},"schema_version":"1.0"},"canonical_sha256":"7f6f5db31b6594c907801a97df69c78571938904dbc13503158f85cb500a0791","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:23.321649Z","signature_b64":"aoZLlhJ7ixyI00XPi9giFDFGlNUmUYdRgd0cyNHdK/SS6BLXGvP9TYrzef6aM9Ht5E1QZYwAiPvETo4ftZdFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f6f5db31b6594c907801a97df69c78571938904dbc13503158f85cb500a0791","last_reissued_at":"2026-05-18T03:12:23.320715Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:23.320715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.6262","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":"2026-05-18T03:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7GkXmHzxqPu9o2GnLHAjU/b+njAo7uiU9+U9+b3MzXyo7+SST9cd6G6nnBMqIkVly3sziru26/WWwQjXmjL7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:47:33.057932Z"},"content_sha256":"e016f49bbee6281529413e22ebada8443e695f97cee0c77538d051c08cf80098","schema_version":"1.0","event_id":"sha256:e016f49bbee6281529413e22ebada8443e695f97cee0c77538d051c08cf80098"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:P5XV3MY3MWKMSB4ADKL562OHQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Mark Shoemaker, Nathan Priddis","submitted_at":"2013-09-24T17:34:26Z","abstract_excerpt":"We prove a version of the Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic. In particular we calculate the genus-zero FJRW theory for the pair (W, G) where W is the Fermat quintic polynomial and G = SL(W). We identify it with the Gromov-Witten theory of the mirror quintic three-fold via an explicit analytic continuation and symplectic transformation. In the process we prove a mirror theorem for the corresponding Landau-Ginzburg model (W,G)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6262","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":"2026-05-18T03:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0g+U/aMGebO1BMM7EspNPA9hgzUtnq+nQog7VZyPDEjhBU0FdyoTmgWqbbKdqatOdoSLZTa2x81fuYIsWeFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:47:33.058335Z"},"content_sha256":"2dd1bd49d5c0466e3ca84dadc75eec94b28607f985be610e3b7332b10f34d495","schema_version":"1.0","event_id":"sha256:2dd1bd49d5c0466e3ca84dadc75eec94b28607f985be610e3b7332b10f34d495"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5XV3MY3MWKMSB4ADKL562OHQV/bundle.json","state_url":"https://pith.science/pith/P5XV3MY3MWKMSB4ADKL562OHQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5XV3MY3MWKMSB4ADKL562OHQV/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":"2026-05-28T05:47:33Z","links":{"resolver":"https://pith.science/pith/P5XV3MY3MWKMSB4ADKL562OHQV","bundle":"https://pith.science/pith/P5XV3MY3MWKMSB4ADKL562OHQV/bundle.json","state":"https://pith.science/pith/P5XV3MY3MWKMSB4ADKL562OHQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5XV3MY3MWKMSB4ADKL562OHQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:P5XV3MY3MWKMSB4ADKL562OHQV","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":"7178e244fe6e8fd498efe7c657391b55ec18e94ba203aef9c33b012204ea7271","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-24T17:34:26Z","title_canon_sha256":"584133813bb4b6179337e3ba37232d7da75706300b43898a7fd5865e91027aab"},"schema_version":"1.0","source":{"id":"1309.6262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6262","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6262v1","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6262","created_at":"2026-05-18T03:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"P5XV3MY3MWKM","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"P5XV3MY3MWKMSB4A","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"P5XV3MY3","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:2dd1bd49d5c0466e3ca84dadc75eec94b28607f985be610e3b7332b10f34d495","target":"graph","created_at":"2026-05-18T03:12:23Z","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 prove a version of the Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic. In particular we calculate the genus-zero FJRW theory for the pair (W, G) where W is the Fermat quintic polynomial and G = SL(W). We identify it with the Gromov-Witten theory of the mirror quintic three-fold via an explicit analytic continuation and symplectic transformation. In the process we prove a mirror theorem for the corresponding Landau-Ginzburg model (W,G).","authors_text":"Mark Shoemaker, Nathan Priddis","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-24T17:34:26Z","title":"A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6262","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:e016f49bbee6281529413e22ebada8443e695f97cee0c77538d051c08cf80098","target":"record","created_at":"2026-05-18T03:12:23Z","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":"7178e244fe6e8fd498efe7c657391b55ec18e94ba203aef9c33b012204ea7271","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-24T17:34:26Z","title_canon_sha256":"584133813bb4b6179337e3ba37232d7da75706300b43898a7fd5865e91027aab"},"schema_version":"1.0","source":{"id":"1309.6262","kind":"arxiv","version":1}},"canonical_sha256":"7f6f5db31b6594c907801a97df69c78571938904dbc13503158f85cb500a0791","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f6f5db31b6594c907801a97df69c78571938904dbc13503158f85cb500a0791","first_computed_at":"2026-05-18T03:12:23.320715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:23.320715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aoZLlhJ7ixyI00XPi9giFDFGlNUmUYdRgd0cyNHdK/SS6BLXGvP9TYrzef6aM9Ht5E1QZYwAiPvETo4ftZdFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:23.321649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e016f49bbee6281529413e22ebada8443e695f97cee0c77538d051c08cf80098","sha256:2dd1bd49d5c0466e3ca84dadc75eec94b28607f985be610e3b7332b10f34d495"],"state_sha256":"d4d6327805fbd6d61ea7e9390b0b0db8a3b9b4e46a53f44de62a863951019445"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ql1QRVk+DHaAFXbg7txBVPq2Qkhq/zzVNgdYnpAfSI1Jj3WnODJzpx0CIc41HPty8ImL8OP7vm6orJUAQL9aAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:47:33.060834Z","bundle_sha256":"584cb140578b6f9dd5878b98170648ef584ac4d1cb9f0b2158c9396b75bc4cbe"}}