{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VHJS6PNGV4ED3M5RR7NWDZMQBA","short_pith_number":"pith:VHJS6PNG","canonical_record":{"source":{"id":"1708.09228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-30T12:04:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"abb7b130e40ceb1060723de5912289d61be199c610505dd1f227c51bc150a3c2","abstract_canon_sha256":"8d8d3a07fd2fc5854c260c28b72ff0545ae007f011795d97cf9248d36ed8bbd2"},"schema_version":"1.0"},"canonical_sha256":"a9d32f3da6af083db3b18fdb61e5900825b3eae6b553e3b781d501736e8b1220","source":{"kind":"arxiv","id":"1708.09228","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09228","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09228v2","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09228","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"pith_short_12","alias_value":"VHJS6PNGV4ED","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VHJS6PNGV4ED3M5R","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VHJS6PNG","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VHJS6PNGV4ED3M5RR7NWDZMQBA","target":"record","payload":{"canonical_record":{"source":{"id":"1708.09228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-30T12:04:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"abb7b130e40ceb1060723de5912289d61be199c610505dd1f227c51bc150a3c2","abstract_canon_sha256":"8d8d3a07fd2fc5854c260c28b72ff0545ae007f011795d97cf9248d36ed8bbd2"},"schema_version":"1.0"},"canonical_sha256":"a9d32f3da6af083db3b18fdb61e5900825b3eae6b553e3b781d501736e8b1220","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:05.452651Z","signature_b64":"U8uzzvLzgQ2WxImIqL0V4rVOQaICMgL/WPdXkTQ8oRrzhRXshSXF+Z16d8VqS7ocDGAwGe7Fexfl8zI5BJPWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9d32f3da6af083db3b18fdb61e5900825b3eae6b553e3b781d501736e8b1220","last_reissued_at":"2026-05-18T00:32:05.451962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:05.451962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.09228","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":"2026-05-18T00:32:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XueCS4UKR8L9W06H2VjB0iVuhC2oo7V8ORpktsNofNjbrovNOr17is4k+8Gd6LEgIjHat7YMVCgePIrNdyE+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:40:16.864761Z"},"content_sha256":"e964d0eafec78a1fbfb2bcee675dec6a7ec0b3a821ad9d80aeb7dfdd4da98062","schema_version":"1.0","event_id":"sha256:e964d0eafec78a1fbfb2bcee675dec6a7ec0b3a821ad9d80aeb7dfdd4da98062"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VHJS6PNGV4ED3M5RR7NWDZMQBA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anti-de Sitter geon families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Gyula Fodor, P\\'eter Forg\\'acs","submitted_at":"2017-08-30T12:04:01Z","abstract_excerpt":"A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented. Starting with the most general superposition of the $l=2$ even parity (scalar) eigenmodes of AdS at linear order, it is shown that at the fifth order in perturbation theory one obtains five one-parameter geon families, two of which have a helical Killing vector, one with axial symmetry, and two others without continuous symmetries. The details and some subtle aspects of the perturbative expa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09228","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":""},"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":"2026-05-18T00:32:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhfqrs/JoN6NDbINj6S37PtvJ623UKFT+kdpmh3XfGsH0ETz6RonOhgQTzHRFIEeZdgaZ68jpqRsCBwW2KsoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:40:16.865287Z"},"content_sha256":"d18b4ad1dbdce98e19404fd5263b0fd73964d6d8cb0267370e8072af9e27b824","schema_version":"1.0","event_id":"sha256:d18b4ad1dbdce98e19404fd5263b0fd73964d6d8cb0267370e8072af9e27b824"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/bundle.json","state_url":"https://pith.science/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/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":"2026-08-06T04:40:16Z","links":{"resolver":"https://pith.science/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA","bundle":"https://pith.science/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/bundle.json","state":"https://pith.science/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHJS6PNGV4ED3M5RR7NWDZMQBA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VHJS6PNGV4ED3M5RR7NWDZMQBA","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":"8d8d3a07fd2fc5854c260c28b72ff0545ae007f011795d97cf9248d36ed8bbd2","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-30T12:04:01Z","title_canon_sha256":"abb7b130e40ceb1060723de5912289d61be199c610505dd1f227c51bc150a3c2"},"schema_version":"1.0","source":{"id":"1708.09228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09228","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09228v2","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09228","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"pith_short_12","alias_value":"VHJS6PNGV4ED","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VHJS6PNGV4ED3M5R","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VHJS6PNG","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:d18b4ad1dbdce98e19404fd5263b0fd73964d6d8cb0267370e8072af9e27b824","target":"graph","created_at":"2026-05-18T00:32:05Z","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":"A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented. Starting with the most general superposition of the $l=2$ even parity (scalar) eigenmodes of AdS at linear order, it is shown that at the fifth order in perturbation theory one obtains five one-parameter geon families, two of which have a helical Killing vector, one with axial symmetry, and two others without continuous symmetries. The details and some subtle aspects of the perturbative expa","authors_text":"Gyula Fodor, P\\'eter Forg\\'acs","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-30T12:04:01Z","title":"Anti-de Sitter geon families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09228","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:e964d0eafec78a1fbfb2bcee675dec6a7ec0b3a821ad9d80aeb7dfdd4da98062","target":"record","created_at":"2026-05-18T00:32:05Z","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":"8d8d3a07fd2fc5854c260c28b72ff0545ae007f011795d97cf9248d36ed8bbd2","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-30T12:04:01Z","title_canon_sha256":"abb7b130e40ceb1060723de5912289d61be199c610505dd1f227c51bc150a3c2"},"schema_version":"1.0","source":{"id":"1708.09228","kind":"arxiv","version":2}},"canonical_sha256":"a9d32f3da6af083db3b18fdb61e5900825b3eae6b553e3b781d501736e8b1220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9d32f3da6af083db3b18fdb61e5900825b3eae6b553e3b781d501736e8b1220","first_computed_at":"2026-05-18T00:32:05.451962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:05.451962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U8uzzvLzgQ2WxImIqL0V4rVOQaICMgL/WPdXkTQ8oRrzhRXshSXF+Z16d8VqS7ocDGAwGe7Fexfl8zI5BJPWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:05.452651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e964d0eafec78a1fbfb2bcee675dec6a7ec0b3a821ad9d80aeb7dfdd4da98062","sha256:d18b4ad1dbdce98e19404fd5263b0fd73964d6d8cb0267370e8072af9e27b824"],"state_sha256":"ba7520e5c7f88c325e4e42d93006116df36298b63fde02b1a93549e4f2cca3fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7UCKg2zMmaXHUxpoo6jk3NE8mfWihLczRUex4CMlXCKmLv4LPEfAjoJrKoZ5j1AYIwiMi80rksmbrPsDsQ9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T04:40:16.870354Z","bundle_sha256":"6d16222c33c4c300309d794e696783833b9008b0600832ef52e4f1d3a0c9e175"}}