{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:FXC2EMJJLRTCYXULIWNXTLFR7L","short_pith_number":"pith:FXC2EMJJ","canonical_record":{"source":{"id":"2306.14567","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-06-26T10:27:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8c92e3f53c4d26fde6a7b63ae479999a704fced688abdfdcc4184b74e226d5f9","abstract_canon_sha256":"e80a0d815470a851d15dc136dc74a4eb97986ab5ae3e57f4617ddd7ab1ca135a"},"schema_version":"1.0"},"canonical_sha256":"2dc5a231295c662c5e8b459b79acb1faf3ab7e14b394df1414d1b405521fa383","source":{"kind":"arxiv","id":"2306.14567","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.14567","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"2306.14567v3","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.14567","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"FXC2EMJJLRTC","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXC2EMJJLRTCYXUL","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXC2EMJJ","created_at":"2026-07-05T10:59:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:FXC2EMJJLRTCYXULIWNXTLFR7L","target":"record","payload":{"canonical_record":{"source":{"id":"2306.14567","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-06-26T10:27:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8c92e3f53c4d26fde6a7b63ae479999a704fced688abdfdcc4184b74e226d5f9","abstract_canon_sha256":"e80a0d815470a851d15dc136dc74a4eb97986ab5ae3e57f4617ddd7ab1ca135a"},"schema_version":"1.0"},"canonical_sha256":"2dc5a231295c662c5e8b459b79acb1faf3ab7e14b394df1414d1b405521fa383","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:59:45.674948Z","signature_b64":"tVmMNClcdjKslVTHeAzjKDhj0tfNFZci439J2wRWqMr5XItRP86Ci8axcWH1+FJGohDSvLnrotsvkhbSgz/9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dc5a231295c662c5e8b459b79acb1faf3ab7e14b394df1414d1b405521fa383","last_reissued_at":"2026-07-05T10:59:45.674538Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:59:45.674538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.14567","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+xchHnBYgWNJtoUsvS7q1VXaC2BXWC/Vw6m/rSA0Ro5q+cmNeukOwOHQCxdIDvo1N5WObPDzBHAsIl96hOeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:35:08.173376Z"},"content_sha256":"6fb808cb5d8b3f63737a16426ff42c646dadcc2aa50120d5a5112d426406a62a","schema_version":"1.0","event_id":"sha256:6fb808cb5d8b3f63737a16426ff42c646dadcc2aa50120d5a5112d426406a62a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:FXC2EMJJLRTCYXULIWNXTLFR7L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational instantons with $S^1$ symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Gustav Nilsson, Lars Andersson, Mattias Dahl, Steffen Aksteiner, Walter Simon","submitted_at":"2023-06-26T10:27:20Z","abstract_excerpt":"Uniqueness results for asymptotically locally flat and asymptotically flat $S^1$-symmetric gravitational instantons are proved using a divergence identity of the type used in uniqueness proofs for static black holes, combined with results derived from the $G$-signature theorem. Our results include a proof of the $S^1$-symmetric version of the Euclidean Black Hole Uniqueness conjecture, a uniqueness result for the Taub-bolt family of instantons, as well as a proof that an ALF $S^1$-symmetric instanton with the topology of the Chen-Teo family of instantons is Hermitian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14567","kind":"arxiv","version":3},"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/2306.14567/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":"2026-07-05T10:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sBDGsUd4ndZwrdmITUQ0BZuHxQyB7sU7Ut9hdbkiCDBm56FRoPX0r5w3Ja2yx7OPRvf6J5glNBrkaogapr6GCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:35:08.174239Z"},"content_sha256":"b872aa3ca5a8c11527932417f55ec5d0adc8a86c218cd70d063b4c6db613b86c","schema_version":"1.0","event_id":"sha256:b872aa3ca5a8c11527932417f55ec5d0adc8a86c218cd70d063b4c6db613b86c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/bundle.json","state_url":"https://pith.science/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/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":"2026-08-06T02:35:08Z","links":{"resolver":"https://pith.science/pith/FXC2EMJJLRTCYXULIWNXTLFR7L","bundle":"https://pith.science/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/bundle.json","state":"https://pith.science/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXC2EMJJLRTCYXULIWNXTLFR7L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FXC2EMJJLRTCYXULIWNXTLFR7L","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":"e80a0d815470a851d15dc136dc74a4eb97986ab5ae3e57f4617ddd7ab1ca135a","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-06-26T10:27:20Z","title_canon_sha256":"8c92e3f53c4d26fde6a7b63ae479999a704fced688abdfdcc4184b74e226d5f9"},"schema_version":"1.0","source":{"id":"2306.14567","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.14567","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"2306.14567v3","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.14567","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"FXC2EMJJLRTC","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXC2EMJJLRTCYXUL","created_at":"2026-07-05T10:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXC2EMJJ","created_at":"2026-07-05T10:59:45Z"}],"graph_snapshots":[{"event_id":"sha256:b872aa3ca5a8c11527932417f55ec5d0adc8a86c218cd70d063b4c6db613b86c","target":"graph","created_at":"2026-07-05T10:59:45Z","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/2306.14567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Uniqueness results for asymptotically locally flat and asymptotically flat $S^1$-symmetric gravitational instantons are proved using a divergence identity of the type used in uniqueness proofs for static black holes, combined with results derived from the $G$-signature theorem. Our results include a proof of the $S^1$-symmetric version of the Euclidean Black Hole Uniqueness conjecture, a uniqueness result for the Taub-bolt family of instantons, as well as a proof that an ALF $S^1$-symmetric instanton with the topology of the Chen-Teo family of instantons is Hermitian.","authors_text":"Gustav Nilsson, Lars Andersson, Mattias Dahl, Steffen Aksteiner, Walter Simon","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-06-26T10:27:20Z","title":"Gravitational instantons with $S^1$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14567","kind":"arxiv","version":3},"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":"sha256:6fb808cb5d8b3f63737a16426ff42c646dadcc2aa50120d5a5112d426406a62a","target":"record","created_at":"2026-07-05T10:59:45Z","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":"e80a0d815470a851d15dc136dc74a4eb97986ab5ae3e57f4617ddd7ab1ca135a","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-06-26T10:27:20Z","title_canon_sha256":"8c92e3f53c4d26fde6a7b63ae479999a704fced688abdfdcc4184b74e226d5f9"},"schema_version":"1.0","source":{"id":"2306.14567","kind":"arxiv","version":3}},"canonical_sha256":"2dc5a231295c662c5e8b459b79acb1faf3ab7e14b394df1414d1b405521fa383","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dc5a231295c662c5e8b459b79acb1faf3ab7e14b394df1414d1b405521fa383","first_computed_at":"2026-07-05T10:59:45.674538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:45.674538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tVmMNClcdjKslVTHeAzjKDhj0tfNFZci439J2wRWqMr5XItRP86Ci8axcWH1+FJGohDSvLnrotsvkhbSgz/9Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:45.674948Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.14567","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fb808cb5d8b3f63737a16426ff42c646dadcc2aa50120d5a5112d426406a62a","sha256:b872aa3ca5a8c11527932417f55ec5d0adc8a86c218cd70d063b4c6db613b86c"],"state_sha256":"2a98a08ae3477cbdabe17224ca6df3509e40b0e11c54122878812bb0a252d58b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUixnQyPaWZaCZD0K2U43QGGr3I7KM4OsZZJcD1TA3sIAz3jCtJ5hcDeO+HxyNdpspw7im2IH4AH96Jy5CuvBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T02:35:08.179270Z","bundle_sha256":"7da4296dc4fb5c5484880b37aac43b8470f4fb8ab44257373087ac8eaf80f5e6"}}