{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:EGUNPSSX5NCWPA7S3QLL4ADZMG","short_pith_number":"pith:EGUNPSSX","canonical_record":{"source":{"id":"2008.02510","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-06T08:12:10Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"44de32e4251617f7733ca4961b3e48cd63666fea02ee92fb148d862c5b41a4b4","abstract_canon_sha256":"33271070ff3284eb6f0c4a9acb4ca731e55b2e393b1648be5ac05bf0b3eb885d"},"schema_version":"1.0"},"canonical_sha256":"21a8d7ca57eb456783f2dc16be0079619803498336e0e59a2161206bfb34bc04","source":{"kind":"arxiv","id":"2008.02510","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.02510","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"2008.02510v2","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.02510","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"EGUNPSSX5NCW","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_16","alias_value":"EGUNPSSX5NCWPA7S","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_8","alias_value":"EGUNPSSX","created_at":"2026-07-05T02:06:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:EGUNPSSX5NCWPA7S3QLL4ADZMG","target":"record","payload":{"canonical_record":{"source":{"id":"2008.02510","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-06T08:12:10Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"44de32e4251617f7733ca4961b3e48cd63666fea02ee92fb148d862c5b41a4b4","abstract_canon_sha256":"33271070ff3284eb6f0c4a9acb4ca731e55b2e393b1648be5ac05bf0b3eb885d"},"schema_version":"1.0"},"canonical_sha256":"21a8d7ca57eb456783f2dc16be0079619803498336e0e59a2161206bfb34bc04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:06:11.658065Z","signature_b64":"Kni4assoy/xK/ZSdbBbEJuKhqw6+CmXZlLqLHw6oLg4d24f6DJ2RIDBLIPhdnW/PUDeZxdvV0EkKh62LfVnWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21a8d7ca57eb456783f2dc16be0079619803498336e0e59a2161206bfb34bc04","last_reissued_at":"2026-07-05T02:06:11.657606Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:06:11.657606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.02510","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":"2026-07-05T02:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Snj00sxEqb2Ltt8L565l/Kx0wfKy2QQJh19z7NqOZcto87Md/jZEIvPdhww5J9F0Sh4yIDKpQffU47JRXqZWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T09:13:55.269789Z"},"content_sha256":"08d7c504f4de0abb0f236ba1a3bf6a6b9f70d487bc61e0fb6ea16aaec58aea25","schema_version":"1.0","event_id":"sha256:08d7c504f4de0abb0f236ba1a3bf6a6b9f70d487bc61e0fb6ea16aaec58aea25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:EGUNPSSX5NCWPA7S3QLL4ADZMG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A family of solutions to the inverse problem in gravitation: building a theory around a metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Arthur G. Suvorov","submitted_at":"2020-08-06T08:12:10Z","abstract_excerpt":"A method is presented to construct a particular, non-minimally coupled scalar-tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational dynamics, where one begins with an action and then solves the equations of motion, this approach allows for an explicit theory to be built around some pre-specified geometry. Starting from a parameterized black hole spacetime with generic, non-Kerr hairs, it is shown how an overarching family of theories can be designed to fit the metric exactly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.02510","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/2008.02510/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":"2026-07-05T02:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g8uhTYHxYqaUIa2ThMitrgu73HC1ZJyjVYV0+KCOXuB13nRixG5dMAFz6Taoi7yb2gZNQwg3YftTA8AyzNeRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T09:13:55.270399Z"},"content_sha256":"6a36cc24715dc88fe03b45573140350ffdf9114de1404c9479720056e097c9d3","schema_version":"1.0","event_id":"sha256:6a36cc24715dc88fe03b45573140350ffdf9114de1404c9479720056e097c9d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/bundle.json","state_url":"https://pith.science/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/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":"2026-08-03T09:13:55Z","links":{"resolver":"https://pith.science/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG","bundle":"https://pith.science/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/bundle.json","state":"https://pith.science/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EGUNPSSX5NCWPA7S3QLL4ADZMG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:EGUNPSSX5NCWPA7S3QLL4ADZMG","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":"33271070ff3284eb6f0c4a9acb4ca731e55b2e393b1648be5ac05bf0b3eb885d","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-06T08:12:10Z","title_canon_sha256":"44de32e4251617f7733ca4961b3e48cd63666fea02ee92fb148d862c5b41a4b4"},"schema_version":"1.0","source":{"id":"2008.02510","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.02510","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"2008.02510v2","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.02510","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"EGUNPSSX5NCW","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_16","alias_value":"EGUNPSSX5NCWPA7S","created_at":"2026-07-05T02:06:11Z"},{"alias_kind":"pith_short_8","alias_value":"EGUNPSSX","created_at":"2026-07-05T02:06:11Z"}],"graph_snapshots":[{"event_id":"sha256:6a36cc24715dc88fe03b45573140350ffdf9114de1404c9479720056e097c9d3","target":"graph","created_at":"2026-07-05T02:06:11Z","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/2008.02510/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A method is presented to construct a particular, non-minimally coupled scalar-tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational dynamics, where one begins with an action and then solves the equations of motion, this approach allows for an explicit theory to be built around some pre-specified geometry. Starting from a parameterized black hole spacetime with generic, non-Kerr hairs, it is shown how an overarching family of theories can be designed to fit the metric exactly.","authors_text":"Arthur G. Suvorov","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-06T08:12:10Z","title":"A family of solutions to the inverse problem in gravitation: building a theory around a metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.02510","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":"sha256:08d7c504f4de0abb0f236ba1a3bf6a6b9f70d487bc61e0fb6ea16aaec58aea25","target":"record","created_at":"2026-07-05T02:06:11Z","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":"33271070ff3284eb6f0c4a9acb4ca731e55b2e393b1648be5ac05bf0b3eb885d","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-06T08:12:10Z","title_canon_sha256":"44de32e4251617f7733ca4961b3e48cd63666fea02ee92fb148d862c5b41a4b4"},"schema_version":"1.0","source":{"id":"2008.02510","kind":"arxiv","version":2}},"canonical_sha256":"21a8d7ca57eb456783f2dc16be0079619803498336e0e59a2161206bfb34bc04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21a8d7ca57eb456783f2dc16be0079619803498336e0e59a2161206bfb34bc04","first_computed_at":"2026-07-05T02:06:11.657606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:11.657606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kni4assoy/xK/ZSdbBbEJuKhqw6+CmXZlLqLHw6oLg4d24f6DJ2RIDBLIPhdnW/PUDeZxdvV0EkKh62LfVnWCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:11.658065Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.02510","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08d7c504f4de0abb0f236ba1a3bf6a6b9f70d487bc61e0fb6ea16aaec58aea25","sha256:6a36cc24715dc88fe03b45573140350ffdf9114de1404c9479720056e097c9d3"],"state_sha256":"a3b6304cede6d160189afc924353900bf2ce8a2f436239df25c6b9d1977bc72b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pba7FzUfrsPDISdd8/3xJdiavIsf5tvDhvKgZu15R33rHgObu/r7za2AsL6zu29cSDbqqYAgV5PR6KdnL9ZZDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T09:13:55.274418Z","bundle_sha256":"a52a702fb750190a1a808032ff95b56dc04e2a1e4db943d9476826c421b1fa0c"}}