{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:LGS7MBRSUYBR7NJ5QRCN6YULFV","short_pith_number":"pith:LGS7MBRS","canonical_record":{"source":{"id":"2203.16304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-30T13:47:53Z","cross_cats_sorted":["gr-qc","hep-ph","math.DG","math.SG"],"title_canon_sha256":"ab3d8aae5426984713367a03b4b201ef62295146acc8a76cc25d16057df5cb9b","abstract_canon_sha256":"8b75392b8ce09b999803dac1ec2fe155f67d8addbc234600839caea14540bf72"},"schema_version":"1.0"},"canonical_sha256":"59a5f60632a6031fb53d8444df628b2d61b028b47fd8706cc3110ce6c5293cd6","source":{"kind":"arxiv","id":"2203.16304","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.16304","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"arxiv_version","alias_value":"2203.16304v2","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16304","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_12","alias_value":"LGS7MBRSUYBR","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_16","alias_value":"LGS7MBRSUYBR7NJ5","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_8","alias_value":"LGS7MBRS","created_at":"2026-07-05T05:21:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:LGS7MBRSUYBR7NJ5QRCN6YULFV","target":"record","payload":{"canonical_record":{"source":{"id":"2203.16304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-30T13:47:53Z","cross_cats_sorted":["gr-qc","hep-ph","math.DG","math.SG"],"title_canon_sha256":"ab3d8aae5426984713367a03b4b201ef62295146acc8a76cc25d16057df5cb9b","abstract_canon_sha256":"8b75392b8ce09b999803dac1ec2fe155f67d8addbc234600839caea14540bf72"},"schema_version":"1.0"},"canonical_sha256":"59a5f60632a6031fb53d8444df628b2d61b028b47fd8706cc3110ce6c5293cd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:21:24.721490Z","signature_b64":"2g6fb+66USx70pcluEpBTeTobJUIR/NrgkFQRjH32vVh5B0maz6HZsio3qAU87EEjphwo74kPal0SI+1xgyFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59a5f60632a6031fb53d8444df628b2d61b028b47fd8706cc3110ce6c5293cd6","last_reissued_at":"2026-07-05T05:21:24.720959Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:21:24.720959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.16304","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":"2026-07-05T05:21:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UojqNm6rkH+mmc6fDolBFrt8eacym+DA2WlhL81xoDXeVTkTpkhl9lr2DO5G4867RsdNepGkZ4KiJXTYBfjoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:14:33.572945Z"},"content_sha256":"d4a4a3d3cf2677705ce069b7635ac6e5ceafc510ec0ed16d6d4ab35060a31d59","schema_version":"1.0","event_id":"sha256:d4a4a3d3cf2677705ce069b7635ac6e5ceafc510ec0ed16d6d4ab35060a31d59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:LGS7MBRSUYBR7NJ5QRCN6YULFV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path integrals of perturbative strings on curved backgrounds from string geometry theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","math.DG","math.SG"],"primary_cat":"hep-th","authors_text":"Kunihito Uzawa, Matsuo Sato, Yuji Sugimoto","submitted_at":"2022-03-30T13:47:53Z","abstract_excerpt":"String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the closed bosonic sector of string geometry theory, we derive path integrals of all order perturbative strings on all the string backgrounds, $G_{\\mu\\nu}(x)$, $B_{\\mu\\nu}(x)$, and $\\Phi (x)$, by considering fluctuations around the string background configurations, which are parametrized by the string backgrounds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16304","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/2203.16304/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":"2026-07-05T05:21:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMdImq7jB83o9nqwzWxx/6653rOTXeOD3SeNd1A35Lm31o2roLx7IgAaTZYUhcRqux68U16admfS9xdJrRiLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:14:33.573754Z"},"content_sha256":"756d9f5d694e1b076120f30d108247f520f649a03750358610e26fca1c2ddd77","schema_version":"1.0","event_id":"sha256:756d9f5d694e1b076120f30d108247f520f649a03750358610e26fca1c2ddd77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/bundle.json","state_url":"https://pith.science/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/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":"2026-08-05T09:14:33Z","links":{"resolver":"https://pith.science/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV","bundle":"https://pith.science/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/bundle.json","state":"https://pith.science/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGS7MBRSUYBR7NJ5QRCN6YULFV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LGS7MBRSUYBR7NJ5QRCN6YULFV","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":"8b75392b8ce09b999803dac1ec2fe155f67d8addbc234600839caea14540bf72","cross_cats_sorted":["gr-qc","hep-ph","math.DG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-30T13:47:53Z","title_canon_sha256":"ab3d8aae5426984713367a03b4b201ef62295146acc8a76cc25d16057df5cb9b"},"schema_version":"1.0","source":{"id":"2203.16304","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.16304","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"arxiv_version","alias_value":"2203.16304v2","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16304","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_12","alias_value":"LGS7MBRSUYBR","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_16","alias_value":"LGS7MBRSUYBR7NJ5","created_at":"2026-07-05T05:21:24Z"},{"alias_kind":"pith_short_8","alias_value":"LGS7MBRS","created_at":"2026-07-05T05:21:24Z"}],"graph_snapshots":[{"event_id":"sha256:756d9f5d694e1b076120f30d108247f520f649a03750358610e26fca1c2ddd77","target":"graph","created_at":"2026-07-05T05:21:24Z","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/2203.16304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the closed bosonic sector of string geometry theory, we derive path integrals of all order perturbative strings on all the string backgrounds, $G_{\\mu\\nu}(x)$, $B_{\\mu\\nu}(x)$, and $\\Phi (x)$, by considering fluctuations around the string background configurations, which are parametrized by the string backgrounds.","authors_text":"Kunihito Uzawa, Matsuo Sato, Yuji Sugimoto","cross_cats":["gr-qc","hep-ph","math.DG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-30T13:47:53Z","title":"Path integrals of perturbative strings on curved backgrounds from string geometry theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16304","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:d4a4a3d3cf2677705ce069b7635ac6e5ceafc510ec0ed16d6d4ab35060a31d59","target":"record","created_at":"2026-07-05T05:21:24Z","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":"8b75392b8ce09b999803dac1ec2fe155f67d8addbc234600839caea14540bf72","cross_cats_sorted":["gr-qc","hep-ph","math.DG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-30T13:47:53Z","title_canon_sha256":"ab3d8aae5426984713367a03b4b201ef62295146acc8a76cc25d16057df5cb9b"},"schema_version":"1.0","source":{"id":"2203.16304","kind":"arxiv","version":2}},"canonical_sha256":"59a5f60632a6031fb53d8444df628b2d61b028b47fd8706cc3110ce6c5293cd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59a5f60632a6031fb53d8444df628b2d61b028b47fd8706cc3110ce6c5293cd6","first_computed_at":"2026-07-05T05:21:24.720959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:24.720959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2g6fb+66USx70pcluEpBTeTobJUIR/NrgkFQRjH32vVh5B0maz6HZsio3qAU87EEjphwo74kPal0SI+1xgyFAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:24.721490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.16304","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4a4a3d3cf2677705ce069b7635ac6e5ceafc510ec0ed16d6d4ab35060a31d59","sha256:756d9f5d694e1b076120f30d108247f520f649a03750358610e26fca1c2ddd77"],"state_sha256":"64144a0a313b133757af2262c651d5f984214720a67a2086623d465f03e54e46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wf3ajVeJyl9yurJCBl73YO6PbC0F6iBGNKKb0wx6Um82PEKz8F/KthG2Ot97NCBpUmPA7dEDjc2v8PO0tLulBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T09:14:33.579634Z","bundle_sha256":"c5c4f29c0ebf9d7e1324b89dc9d8deea35a5c3ea1ba62d0f0839447c21b1a39d"}}