{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EHJMSUSX7DILGFXDOFNNLDKBAC","short_pith_number":"pith:EHJMSUSX","canonical_record":{"source":{"id":"1305.0469","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-02T15:08:46Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"02a6524b7c5f8972a697ee166a8eee363902a79fa5353f6f15627ad73d37dfef","abstract_canon_sha256":"2ea33cbdb92b296d4f10ec2293f4d60796b103fe5b5d0d3dc9c59931f6c8e86c"},"schema_version":"1.0"},"canonical_sha256":"21d2c95257f8d0b316e3715ad58d4100bcbe313285c02e7f918011cc7ddb29ee","source":{"kind":"arxiv","id":"1305.0469","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0469","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0469v4","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0469","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"EHJMSUSX7DIL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EHJMSUSX7DILGFXD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EHJMSUSX","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EHJMSUSX7DILGFXDOFNNLDKBAC","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0469","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-02T15:08:46Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"02a6524b7c5f8972a697ee166a8eee363902a79fa5353f6f15627ad73d37dfef","abstract_canon_sha256":"2ea33cbdb92b296d4f10ec2293f4d60796b103fe5b5d0d3dc9c59931f6c8e86c"},"schema_version":"1.0"},"canonical_sha256":"21d2c95257f8d0b316e3715ad58d4100bcbe313285c02e7f918011cc7ddb29ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:10.363655Z","signature_b64":"vkQ9TcDzjoOCLz/yxmALYxAnYJBPxEcAvGoFIa6EmBjReMTUCPc4eJv6xaIUtGWL2ZR/8UQgDmXLjSde9gjSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21d2c95257f8d0b316e3715ad58d4100bcbe313285c02e7f918011cc7ddb29ee","last_reissued_at":"2026-05-18T00:44:10.363025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:10.363025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0469","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8eHa+nDFFRFCnbKwonrCVIgJ9/jf7DcfJW0D8TM/HOONwzMHI1Ne4cHrjibZ2sV0R9r5PYjl/4i/rhQGNcZUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T07:27:55.105825Z"},"content_sha256":"8e0e5e0255f04d179c11a080b4aeb6a24080f460dfabfe6713ff2e29c731ac81","schema_version":"1.0","event_id":"sha256:8e0e5e0255f04d179c11a080b4aeb6a24080f460dfabfe6713ff2e29c731ac81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EHJMSUSX7DILGFXDOFNNLDKBAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CFTs on Riemann Surfaces of genus $g\\geq 1$: Dependence on moduli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Marianne Leitner, Werner Nahm","submitted_at":"2013-05-02T15:08:46Z","abstract_excerpt":"The dependence of the Virasoro-$N$-point function on the moduli of the Riemann surface is investigated. We propose an algebraic geometric approach that applies to any hyperelliptic Riemann surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0469","kind":"arxiv","version":4},"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":"2026-05-18T00:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OOXVuEX9ru1XJ00s/LQamwDRFNOCjiFGGYb1G5+t0U96rAm2h3daTglT2sosu19MKep9gO40ufz14Nt32t/fBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T07:27:55.106169Z"},"content_sha256":"ab7cc5a4e42238463bca952c8e2d0810806682b2ae73939b8892ccc0457b1738","schema_version":"1.0","event_id":"sha256:ab7cc5a4e42238463bca952c8e2d0810806682b2ae73939b8892ccc0457b1738"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/bundle.json","state_url":"https://pith.science/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/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":"2026-06-29T07:27:55Z","links":{"resolver":"https://pith.science/pith/EHJMSUSX7DILGFXDOFNNLDKBAC","bundle":"https://pith.science/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/bundle.json","state":"https://pith.science/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EHJMSUSX7DILGFXDOFNNLDKBAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EHJMSUSX7DILGFXDOFNNLDKBAC","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":"2ea33cbdb92b296d4f10ec2293f4d60796b103fe5b5d0d3dc9c59931f6c8e86c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-02T15:08:46Z","title_canon_sha256":"02a6524b7c5f8972a697ee166a8eee363902a79fa5353f6f15627ad73d37dfef"},"schema_version":"1.0","source":{"id":"1305.0469","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0469","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0469v4","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0469","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"EHJMSUSX7DIL","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EHJMSUSX7DILGFXD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EHJMSUSX","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ab7cc5a4e42238463bca952c8e2d0810806682b2ae73939b8892ccc0457b1738","target":"graph","created_at":"2026-05-18T00:44:10Z","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":"The dependence of the Virasoro-$N$-point function on the moduli of the Riemann surface is investigated. We propose an algebraic geometric approach that applies to any hyperelliptic Riemann surface.","authors_text":"Marianne Leitner, Werner Nahm","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-02T15:08:46Z","title":"CFTs on Riemann Surfaces of genus $g\\geq 1$: Dependence on moduli"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0469","kind":"arxiv","version":4},"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":"sha256:8e0e5e0255f04d179c11a080b4aeb6a24080f460dfabfe6713ff2e29c731ac81","target":"record","created_at":"2026-05-18T00:44:10Z","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":"2ea33cbdb92b296d4f10ec2293f4d60796b103fe5b5d0d3dc9c59931f6c8e86c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-05-02T15:08:46Z","title_canon_sha256":"02a6524b7c5f8972a697ee166a8eee363902a79fa5353f6f15627ad73d37dfef"},"schema_version":"1.0","source":{"id":"1305.0469","kind":"arxiv","version":4}},"canonical_sha256":"21d2c95257f8d0b316e3715ad58d4100bcbe313285c02e7f918011cc7ddb29ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21d2c95257f8d0b316e3715ad58d4100bcbe313285c02e7f918011cc7ddb29ee","first_computed_at":"2026-05-18T00:44:10.363025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:10.363025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vkQ9TcDzjoOCLz/yxmALYxAnYJBPxEcAvGoFIa6EmBjReMTUCPc4eJv6xaIUtGWL2ZR/8UQgDmXLjSde9gjSCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:10.363655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0469","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e0e5e0255f04d179c11a080b4aeb6a24080f460dfabfe6713ff2e29c731ac81","sha256:ab7cc5a4e42238463bca952c8e2d0810806682b2ae73939b8892ccc0457b1738"],"state_sha256":"f9bbfabe6ea81302ce1582f9ecb71c7a9a971ac8ba55a0cea82e488fd793661d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ubqebc7DTI+gtjNwcch8ZfIOEVYOFNPFHbnM4A2/A+PHpELP4yZ4UXfJz/jOqKfiRQVbgALCbjqCQv455uWlBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T07:27:55.108035Z","bundle_sha256":"0840430dd7857c07b323c7c57751ace434cb884fe28950641a59a1d8c4cb0fee"}}