{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:74TQKJFT4SDK6BVDZ5NNTPRQOU","short_pith_number":"pith:74TQKJFT","canonical_record":{"source":{"id":"1008.2914","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-17T15:11:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"540a93468c4ef249357aaf3cf3754a32f0c95679219d13d04efb10113915aa06","abstract_canon_sha256":"449c1cb9b0d9f16fb4dbb8bc7abc86124fb9bd369333d46281a7149bff2a6c74"},"schema_version":"1.0"},"canonical_sha256":"ff270524b3e486af06a3cf5ad9be30750c221b11bb0dbfcbccd5ae80e1824539","source":{"kind":"arxiv","id":"1008.2914","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2914","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2914v4","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2914","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"pith_short_12","alias_value":"74TQKJFT4SDK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"74TQKJFT4SDK6BVD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"74TQKJFT","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:74TQKJFT4SDK6BVDZ5NNTPRQOU","target":"record","payload":{"canonical_record":{"source":{"id":"1008.2914","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-17T15:11:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"540a93468c4ef249357aaf3cf3754a32f0c95679219d13d04efb10113915aa06","abstract_canon_sha256":"449c1cb9b0d9f16fb4dbb8bc7abc86124fb9bd369333d46281a7149bff2a6c74"},"schema_version":"1.0"},"canonical_sha256":"ff270524b3e486af06a3cf5ad9be30750c221b11bb0dbfcbccd5ae80e1824539","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:13.015885Z","signature_b64":"KbfYlA7BhmO2YracrmqjISEeo47OMMeQZMbZJW694l8xKCBMG7K6syzuTgCeT3rrdDi6gXi9H0S6v+Q0PNSYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff270524b3e486af06a3cf5ad9be30750c221b11bb0dbfcbccd5ae80e1824539","last_reissued_at":"2026-05-18T03:57:13.015142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:13.015142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.2914","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":"2026-05-18T03:57:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6l4Vls7B5i5T8iaSGhXCpdC0E2wQT7GbaovCKKEc1BjDWlKE5nlrG8OUAYOe/Q9FSdmTTLj2jUF0unQOBBDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:50:21.919746Z"},"content_sha256":"d07622d7fc1048f8281a22a163a6d29db395d6faf4ef68824398170f3550114e","schema_version":"1.0","event_id":"sha256:d07622d7fc1048f8281a22a163a6d29db395d6faf4ef68824398170f3550114e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:74TQKJFT4SDK6BVDZ5NNTPRQOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Richard A. Wentworth","submitted_at":"2010-08-17T15:11:43Z","abstract_excerpt":"We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary satisfying local elliptic boundary conditions. The conditions are defined using the additional structure of a framing, or trivialization of the bundle near the boundary. An application to the computation of bosonization constants follows directly from these formulas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2914","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":"2026-05-18T03:57:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KpJyB8XJhjo+MCGGvI0WBHHevTIvgWhAz/wygjt8IIEaG28FvdNtNpUeYmR9EUFyoQoj+NqWo/atic8C7W6fAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:50:21.920120Z"},"content_sha256":"e012f19088d83cb777c323c4578d499ebf427bdd36bd31eefe67d054dd6679d1","schema_version":"1.0","event_id":"sha256:e012f19088d83cb777c323c4578d499ebf427bdd36bd31eefe67d054dd6679d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/bundle.json","state_url":"https://pith.science/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/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":"2026-08-13T05:50:21Z","links":{"resolver":"https://pith.science/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU","bundle":"https://pith.science/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/bundle.json","state":"https://pith.science/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/74TQKJFT4SDK6BVDZ5NNTPRQOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:74TQKJFT4SDK6BVDZ5NNTPRQOU","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":"449c1cb9b0d9f16fb4dbb8bc7abc86124fb9bd369333d46281a7149bff2a6c74","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-17T15:11:43Z","title_canon_sha256":"540a93468c4ef249357aaf3cf3754a32f0c95679219d13d04efb10113915aa06"},"schema_version":"1.0","source":{"id":"1008.2914","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2914","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2914v4","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2914","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"pith_short_12","alias_value":"74TQKJFT4SDK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"74TQKJFT4SDK6BVD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"74TQKJFT","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e012f19088d83cb777c323c4578d499ebf427bdd36bd31eefe67d054dd6679d1","target":"graph","created_at":"2026-05-18T03:57:13Z","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 present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary satisfying local elliptic boundary conditions. The conditions are defined using the additional structure of a framing, or trivialization of the bundle near the boundary. An application to the computation of bosonization constants follows directly from these formulas.","authors_text":"Richard A. Wentworth","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-17T15:11:43Z","title":"Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2914","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:d07622d7fc1048f8281a22a163a6d29db395d6faf4ef68824398170f3550114e","target":"record","created_at":"2026-05-18T03:57:13Z","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":"449c1cb9b0d9f16fb4dbb8bc7abc86124fb9bd369333d46281a7149bff2a6c74","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-17T15:11:43Z","title_canon_sha256":"540a93468c4ef249357aaf3cf3754a32f0c95679219d13d04efb10113915aa06"},"schema_version":"1.0","source":{"id":"1008.2914","kind":"arxiv","version":4}},"canonical_sha256":"ff270524b3e486af06a3cf5ad9be30750c221b11bb0dbfcbccd5ae80e1824539","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff270524b3e486af06a3cf5ad9be30750c221b11bb0dbfcbccd5ae80e1824539","first_computed_at":"2026-05-18T03:57:13.015142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:13.015142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KbfYlA7BhmO2YracrmqjISEeo47OMMeQZMbZJW694l8xKCBMG7K6syzuTgCeT3rrdDi6gXi9H0S6v+Q0PNSYBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:13.015885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2914","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d07622d7fc1048f8281a22a163a6d29db395d6faf4ef68824398170f3550114e","sha256:e012f19088d83cb777c323c4578d499ebf427bdd36bd31eefe67d054dd6679d1"],"state_sha256":"4f183e79f8548206579ee9c359ca33ea28914fce16d85d26d9686a16b5f1b881"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKM7kPP2UugpKZXp7J7nvkBdZqtNBcQIaj/ml0PbPpKb1IUfSHxE6TnnHHDreAR6V4oCsN2iqIyU0K9FOhxOBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T05:50:21.922746Z","bundle_sha256":"12e00d200929fdd8aa3744a6b67499a229d2eaf00ab0f0ac1e92e87fdaa7ee9a"}}