{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:GJVVB3G5PZSJNQFHYJ6QTZT7PK","short_pith_number":"pith:GJVVB3G5","canonical_record":{"source":{"id":"2305.18344","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2023-05-26T05:26:22Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b7edeadb8f2b5d6d664db3e17bfca3b1eb91fb5ace6c03533069092b98b5e000","abstract_canon_sha256":"733d64b7a0a164f6a2b48889b43ce7dd45d4c5f755238e0164fea7e7a8652b0f"},"schema_version":"1.0"},"canonical_sha256":"326b50ecdd7e6496c0a7c27d09e67f7a9c53947a4c78ee6e339950050a22d120","source":{"kind":"arxiv","id":"2305.18344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.18344","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"2305.18344v1","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.18344","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"GJVVB3G5PZSJ","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_16","alias_value":"GJVVB3G5PZSJNQFH","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_8","alias_value":"GJVVB3G5","created_at":"2026-07-05T06:17:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:GJVVB3G5PZSJNQFHYJ6QTZT7PK","target":"record","payload":{"canonical_record":{"source":{"id":"2305.18344","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2023-05-26T05:26:22Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b7edeadb8f2b5d6d664db3e17bfca3b1eb91fb5ace6c03533069092b98b5e000","abstract_canon_sha256":"733d64b7a0a164f6a2b48889b43ce7dd45d4c5f755238e0164fea7e7a8652b0f"},"schema_version":"1.0"},"canonical_sha256":"326b50ecdd7e6496c0a7c27d09e67f7a9c53947a4c78ee6e339950050a22d120","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:17:52.438910Z","signature_b64":"KjXaEw8g1AMyV9gPGabhyqFq4U6VcnZrULah5Rmwi77t52bI3hJtOmfrxnHq3f/6vE345FxxEZS5SM4f8HvIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"326b50ecdd7e6496c0a7c27d09e67f7a9c53947a4c78ee6e339950050a22d120","last_reissued_at":"2026-07-05T06:17:52.438557Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:17:52.438557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.18344","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":"2026-07-05T06:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S+7gdIRQlOMzAOR0zorghwZdSnf6U8n7/41zct2DDNCCwdgzLMusSbUgw5EB/+ZolB7xP4bslWBWmKw4rqMQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:04:23.894001Z"},"content_sha256":"4b4a9769020cf171440926886c9e20c80f9e7c0be22571cc22b82bf3e86d3c4d","schema_version":"1.0","event_id":"sha256:4b4a9769020cf171440926886c9e20c80f9e7c0be22571cc22b82bf3e86d3c4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:GJVVB3G5PZSJNQFHYJ6QTZT7PK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dirac equation on metrics of Eguchi-Hanson type","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Xiao Zhang, Zhuohua Cai","submitted_at":"2023-05-26T05:26:22Z","abstract_excerpt":"We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors are complex 2-dimensional. For the metrics of Eguchi-Hanson type with the zero scalar curvature, we separate variables for the harmonic spinors and obtain the solutions explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.18344","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.18344/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":"2026-07-05T06:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ivPRpX8YmzBRnr3OGWBSNAClu+/Y/GgeKLUmsLzC+A4t0QHghlqqwqwRC5OcOX+FkY8z8PuHsnHHbhkBenlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:04:23.894509Z"},"content_sha256":"b52f8ac4399d9911ad4fa1ce0fe65d3ff7ffae86e7da8620a409a57406b0cb44","schema_version":"1.0","event_id":"sha256:b52f8ac4399d9911ad4fa1ce0fe65d3ff7ffae86e7da8620a409a57406b0cb44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/bundle.json","state_url":"https://pith.science/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/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":"2026-08-17T08:04:23Z","links":{"resolver":"https://pith.science/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK","bundle":"https://pith.science/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/bundle.json","state":"https://pith.science/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJVVB3G5PZSJNQFHYJ6QTZT7PK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GJVVB3G5PZSJNQFHYJ6QTZT7PK","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":"733d64b7a0a164f6a2b48889b43ce7dd45d4c5f755238e0164fea7e7a8652b0f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2023-05-26T05:26:22Z","title_canon_sha256":"b7edeadb8f2b5d6d664db3e17bfca3b1eb91fb5ace6c03533069092b98b5e000"},"schema_version":"1.0","source":{"id":"2305.18344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.18344","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"2305.18344v1","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.18344","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"GJVVB3G5PZSJ","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_16","alias_value":"GJVVB3G5PZSJNQFH","created_at":"2026-07-05T06:17:52Z"},{"alias_kind":"pith_short_8","alias_value":"GJVVB3G5","created_at":"2026-07-05T06:17:52Z"}],"graph_snapshots":[{"event_id":"sha256:b52f8ac4399d9911ad4fa1ce0fe65d3ff7ffae86e7da8620a409a57406b0cb44","target":"graph","created_at":"2026-07-05T06:17:52Z","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/2305.18344/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors are complex 2-dimensional. For the metrics of Eguchi-Hanson type with the zero scalar curvature, we separate variables for the harmonic spinors and obtain the solutions explicitly.","authors_text":"Xiao Zhang, Zhuohua Cai","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2023-05-26T05:26:22Z","title":"The Dirac equation on metrics of Eguchi-Hanson type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.18344","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":"sha256:4b4a9769020cf171440926886c9e20c80f9e7c0be22571cc22b82bf3e86d3c4d","target":"record","created_at":"2026-07-05T06:17:52Z","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":"733d64b7a0a164f6a2b48889b43ce7dd45d4c5f755238e0164fea7e7a8652b0f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2023-05-26T05:26:22Z","title_canon_sha256":"b7edeadb8f2b5d6d664db3e17bfca3b1eb91fb5ace6c03533069092b98b5e000"},"schema_version":"1.0","source":{"id":"2305.18344","kind":"arxiv","version":1}},"canonical_sha256":"326b50ecdd7e6496c0a7c27d09e67f7a9c53947a4c78ee6e339950050a22d120","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326b50ecdd7e6496c0a7c27d09e67f7a9c53947a4c78ee6e339950050a22d120","first_computed_at":"2026-07-05T06:17:52.438557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:17:52.438557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KjXaEw8g1AMyV9gPGabhyqFq4U6VcnZrULah5Rmwi77t52bI3hJtOmfrxnHq3f/6vE345FxxEZS5SM4f8HvIBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:17:52.438910Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.18344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b4a9769020cf171440926886c9e20c80f9e7c0be22571cc22b82bf3e86d3c4d","sha256:b52f8ac4399d9911ad4fa1ce0fe65d3ff7ffae86e7da8620a409a57406b0cb44"],"state_sha256":"8e1426301ad22931db825b1e8c619e2a7f44c73fc129910c20adbbcb62d30485"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZviMO9I2qo2as5tpXNcXA6vU5JGp6sMXSamXsvSYq00T+owpo4ZBZpPeFJJRI0fdpOXi2LuUdJ1LP0gXZL9/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T08:04:23.898291Z","bundle_sha256":"9686c9084375ab505f9ee126e1b02618a908229e6502fe5ad7f4c4f3bcf6e58c"}}