{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AKNGENBLWMD424LGQD33URJ426","short_pith_number":"pith:AKNGENBL","canonical_record":{"source":{"id":"1502.00463","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-02T13:17:44Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d263a39d1ded0c91f424622dabc768179d5d1ba3f441b20277211c1faae0d966","abstract_canon_sha256":"4617c5224f4c567efd02f17bcd996501ba8c4530ac3618f1c4da6b43209f0275"},"schema_version":"1.0"},"canonical_sha256":"029a62342bb307cd716680f7ba453cd79679a25f7fbbf12ec3da46b3886f7a7a","source":{"kind":"arxiv","id":"1502.00463","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00463","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00463v3","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00463","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"AKNGENBLWMD4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AKNGENBLWMD424LG","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AKNGENBL","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AKNGENBLWMD424LGQD33URJ426","target":"record","payload":{"canonical_record":{"source":{"id":"1502.00463","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-02T13:17:44Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d263a39d1ded0c91f424622dabc768179d5d1ba3f441b20277211c1faae0d966","abstract_canon_sha256":"4617c5224f4c567efd02f17bcd996501ba8c4530ac3618f1c4da6b43209f0275"},"schema_version":"1.0"},"canonical_sha256":"029a62342bb307cd716680f7ba453cd79679a25f7fbbf12ec3da46b3886f7a7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:03.921406Z","signature_b64":"3FwQyo+eS2L8vS/CH7brzl3jEjQlUCkT447/Vsgur5y+5kgHI1zHIQ/wm9slU4sOCVr1K0oQ2NRcDo4+8eF2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"029a62342bb307cd716680f7ba453cd79679a25f7fbbf12ec3da46b3886f7a7a","last_reissued_at":"2026-05-18T00:54:03.920961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:03.920961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.00463","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":"2026-05-18T00:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RCFHbor3CmDj/l1EeKjV7VOfLPxpL9IDSuamy2QFjtqxgAuMSKyUpp8AW4+cGSimu6WnWK4u81dtmgkqSELgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T17:00:10.585192Z"},"content_sha256":"33f86f1c5b78c86dc82795e50d457109e0877ca47f00eba01d7ca789877cc24d","schema_version":"1.0","event_id":"sha256:33f86f1c5b78c86dc82795e50d457109e0877ca47f00eba01d7ca789877cc24d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AKNGENBLWMD424LGQD33URJ426","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decoupling Solution Moduli of Bigravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Nejat Tevfik Yilmaz","submitted_at":"2015-02-02T13:17:44Z","abstract_excerpt":"A complete classification of exact solutions of ghost-free, massive bigravity is derived which enables the dynamical decoupling of the background, and the foreground metrics. The general decoupling solution space of the two metrics is constructed. Within this branch of the solution space the foreground metric theory becomes general relativity (GR) with an additional effective cosmological constant, and the background metric dynamics is governed by plain GR."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00463","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":""},"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":"2026-05-18T00:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uJvKedjFZRRRnCcrApzK7QqsqWrek3Bgd/9JbSrg0hKe2xC/HRQW6kGjIKrDMCQtjcaY6LjBRAVKpLVD2Y9LBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T17:00:10.586074Z"},"content_sha256":"d467ed459115875ee92ea428d75b5deb418dbf5cdc8f26635bdb21592b2f5cc9","schema_version":"1.0","event_id":"sha256:d467ed459115875ee92ea428d75b5deb418dbf5cdc8f26635bdb21592b2f5cc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKNGENBLWMD424LGQD33URJ426/bundle.json","state_url":"https://pith.science/pith/AKNGENBLWMD424LGQD33URJ426/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKNGENBLWMD424LGQD33URJ426/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":"2026-06-06T17:00:10Z","links":{"resolver":"https://pith.science/pith/AKNGENBLWMD424LGQD33URJ426","bundle":"https://pith.science/pith/AKNGENBLWMD424LGQD33URJ426/bundle.json","state":"https://pith.science/pith/AKNGENBLWMD424LGQD33URJ426/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKNGENBLWMD424LGQD33URJ426/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AKNGENBLWMD424LGQD33URJ426","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":"4617c5224f4c567efd02f17bcd996501ba8c4530ac3618f1c4da6b43209f0275","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-02T13:17:44Z","title_canon_sha256":"d263a39d1ded0c91f424622dabc768179d5d1ba3f441b20277211c1faae0d966"},"schema_version":"1.0","source":{"id":"1502.00463","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00463","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00463v3","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00463","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"AKNGENBLWMD4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AKNGENBLWMD424LG","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AKNGENBL","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:d467ed459115875ee92ea428d75b5deb418dbf5cdc8f26635bdb21592b2f5cc9","target":"graph","created_at":"2026-05-18T00:54:03Z","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 complete classification of exact solutions of ghost-free, massive bigravity is derived which enables the dynamical decoupling of the background, and the foreground metrics. The general decoupling solution space of the two metrics is constructed. Within this branch of the solution space the foreground metric theory becomes general relativity (GR) with an additional effective cosmological constant, and the background metric dynamics is governed by plain GR.","authors_text":"Nejat Tevfik Yilmaz","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-02T13:17:44Z","title":"Decoupling Solution Moduli of Bigravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00463","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":"sha256:33f86f1c5b78c86dc82795e50d457109e0877ca47f00eba01d7ca789877cc24d","target":"record","created_at":"2026-05-18T00:54:03Z","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":"4617c5224f4c567efd02f17bcd996501ba8c4530ac3618f1c4da6b43209f0275","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-02T13:17:44Z","title_canon_sha256":"d263a39d1ded0c91f424622dabc768179d5d1ba3f441b20277211c1faae0d966"},"schema_version":"1.0","source":{"id":"1502.00463","kind":"arxiv","version":3}},"canonical_sha256":"029a62342bb307cd716680f7ba453cd79679a25f7fbbf12ec3da46b3886f7a7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"029a62342bb307cd716680f7ba453cd79679a25f7fbbf12ec3da46b3886f7a7a","first_computed_at":"2026-05-18T00:54:03.920961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:03.920961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3FwQyo+eS2L8vS/CH7brzl3jEjQlUCkT447/Vsgur5y+5kgHI1zHIQ/wm9slU4sOCVr1K0oQ2NRcDo4+8eF2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:03.921406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00463","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33f86f1c5b78c86dc82795e50d457109e0877ca47f00eba01d7ca789877cc24d","sha256:d467ed459115875ee92ea428d75b5deb418dbf5cdc8f26635bdb21592b2f5cc9"],"state_sha256":"405a0d15a64175a45e6e92b9416e74d74d9553fc6c97e63034089741ab53e54f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u86HcPatrwds56xPah+u34jLpzzvQn/fj5wbjePiw/0iQBwUC+P2RrsUDNHmbButyCoXcyatTySabJ3FepbtCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T17:00:10.594626Z","bundle_sha256":"844334e5af5639f8a4c3dd88d8be65df0ab022e45d1e9c8adae2b40e066f38b8"}}