{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5F5RN2XUXBUD37BICZKNNPE7MG","short_pith_number":"pith:5F5RN2XU","canonical_record":{"source":{"id":"2501.06616","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-01-11T18:37:36Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"f3bd8195d336c04fd5f339172162ffb208836c452371ba89a34454005a08f4f4","abstract_canon_sha256":"dc95cc8f41e52cc998747d74c54d6fac48418e2f3383bbf90b3fcd1778a69db4"},"schema_version":"1.0"},"canonical_sha256":"e97b16eaf4b8683dfc281654d6bc9f61a95dd94960e53a9108d5abc186e1221c","source":{"kind":"arxiv","id":"2501.06616","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.06616","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"arxiv_version","alias_value":"2501.06616v2","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.06616","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_12","alias_value":"5F5RN2XUXBUD","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_16","alias_value":"5F5RN2XUXBUD37BI","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_8","alias_value":"5F5RN2XU","created_at":"2026-07-05T10:02:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5F5RN2XUXBUD37BICZKNNPE7MG","target":"record","payload":{"canonical_record":{"source":{"id":"2501.06616","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-01-11T18:37:36Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"f3bd8195d336c04fd5f339172162ffb208836c452371ba89a34454005a08f4f4","abstract_canon_sha256":"dc95cc8f41e52cc998747d74c54d6fac48418e2f3383bbf90b3fcd1778a69db4"},"schema_version":"1.0"},"canonical_sha256":"e97b16eaf4b8683dfc281654d6bc9f61a95dd94960e53a9108d5abc186e1221c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:02:26.207775Z","signature_b64":"8us51u8UjiIO8WDFtREXqzQRJQ0IM4GRqPCpV3qEqYOramF1Iqt2OJlCnGNOyflyiRit+SvLgb7H2XXUP0u2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e97b16eaf4b8683dfc281654d6bc9f61a95dd94960e53a9108d5abc186e1221c","last_reissued_at":"2026-07-05T10:02:26.207354Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:02:26.207354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.06616","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":"2026-07-05T10:02:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"raNL1/MS64eQlRjNIX567ETy/MCzFPe1x03AZK4QXjfCwjTJRIh4Oa5AbQjeU3Q0LiLGnJrG+AZNT/AbaIDyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:09:06.608752Z"},"content_sha256":"f18073543ad68ca3db18a04a0ec207400c80d9afa1ca6f2e423938a807c08feb","schema_version":"1.0","event_id":"sha256:f18073543ad68ca3db18a04a0ec207400c80d9afa1ca6f2e423938a807c08feb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5F5RN2XUXBUD37BICZKNNPE7MG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lecture notes on conformal field theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Pavel Mnev","submitted_at":"2025-01-11T18:37:36Z","abstract_excerpt":"These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. These notes are intended to be substantially reworked and expanded in coauthorship with Nicolai Reshetikhin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.06616","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.06616/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:02:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5yC0REU9lzdGB5Q2GB/4+zKCwtbZtZXctC9+P0xT/cEshG+aoaUpzlWEnhcUka9l42UCI+MmBGq+HSihj+yIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:09:06.609310Z"},"content_sha256":"7d351786df1aee264f9e6cfa1f89a8dc4fbe4852553fa2bcf908d5c1d40969d2","schema_version":"1.0","event_id":"sha256:7d351786df1aee264f9e6cfa1f89a8dc4fbe4852553fa2bcf908d5c1d40969d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5F5RN2XUXBUD37BICZKNNPE7MG/bundle.json","state_url":"https://pith.science/pith/5F5RN2XUXBUD37BICZKNNPE7MG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5F5RN2XUXBUD37BICZKNNPE7MG/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":"2026-08-05T06:09:06Z","links":{"resolver":"https://pith.science/pith/5F5RN2XUXBUD37BICZKNNPE7MG","bundle":"https://pith.science/pith/5F5RN2XUXBUD37BICZKNNPE7MG/bundle.json","state":"https://pith.science/pith/5F5RN2XUXBUD37BICZKNNPE7MG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5F5RN2XUXBUD37BICZKNNPE7MG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5F5RN2XUXBUD37BICZKNNPE7MG","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":"dc95cc8f41e52cc998747d74c54d6fac48418e2f3383bbf90b3fcd1778a69db4","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-01-11T18:37:36Z","title_canon_sha256":"f3bd8195d336c04fd5f339172162ffb208836c452371ba89a34454005a08f4f4"},"schema_version":"1.0","source":{"id":"2501.06616","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.06616","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"arxiv_version","alias_value":"2501.06616v2","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.06616","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_12","alias_value":"5F5RN2XUXBUD","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_16","alias_value":"5F5RN2XUXBUD37BI","created_at":"2026-07-05T10:02:26Z"},{"alias_kind":"pith_short_8","alias_value":"5F5RN2XU","created_at":"2026-07-05T10:02:26Z"}],"graph_snapshots":[{"event_id":"sha256:7d351786df1aee264f9e6cfa1f89a8dc4fbe4852553fa2bcf908d5c1d40969d2","target":"graph","created_at":"2026-07-05T10:02:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.06616/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. These notes are intended to be substantially reworked and expanded in coauthorship with Nicolai Reshetikhin.","authors_text":"Pavel Mnev","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-01-11T18:37:36Z","title":"Lecture notes on conformal field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.06616","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:f18073543ad68ca3db18a04a0ec207400c80d9afa1ca6f2e423938a807c08feb","target":"record","created_at":"2026-07-05T10:02:26Z","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":"dc95cc8f41e52cc998747d74c54d6fac48418e2f3383bbf90b3fcd1778a69db4","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-01-11T18:37:36Z","title_canon_sha256":"f3bd8195d336c04fd5f339172162ffb208836c452371ba89a34454005a08f4f4"},"schema_version":"1.0","source":{"id":"2501.06616","kind":"arxiv","version":2}},"canonical_sha256":"e97b16eaf4b8683dfc281654d6bc9f61a95dd94960e53a9108d5abc186e1221c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e97b16eaf4b8683dfc281654d6bc9f61a95dd94960e53a9108d5abc186e1221c","first_computed_at":"2026-07-05T10:02:26.207354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:26.207354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8us51u8UjiIO8WDFtREXqzQRJQ0IM4GRqPCpV3qEqYOramF1Iqt2OJlCnGNOyflyiRit+SvLgb7H2XXUP0u2DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:26.207775Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.06616","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f18073543ad68ca3db18a04a0ec207400c80d9afa1ca6f2e423938a807c08feb","sha256:7d351786df1aee264f9e6cfa1f89a8dc4fbe4852553fa2bcf908d5c1d40969d2"],"state_sha256":"f4213cfb7444f6bf66527f1455eaa5ab68803efb652c7d45a7d0bd02cf28c101"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+zbUeWQEKLm9g0ym18mBGUB99tVZq00wdD3wUmIXwdGjmZNCzKG+Tosbb5sVhtpy8ZuuuHrmQg6g349TgdqrBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:09:06.614667Z","bundle_sha256":"13a0678e40c64bfb16206b4509519b33782419e59e4b0e6e8c8307a4b7975ce3"}}