{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QRQ5NZL3L6MQUAV32HRV435O6U","short_pith_number":"pith:QRQ5NZL3","canonical_record":{"source":{"id":"1804.02988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-03T22:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"c132b60a312fa825a2d811ed99c362227bc01a8df47d5522a8b922f3be48584c","abstract_canon_sha256":"3c1fea7a4373ba87ce70df7b49c0a03a7da59b31b2784f68447f76b7f58ff455"},"schema_version":"1.0"},"canonical_sha256":"8461d6e57b5f990a02bbd1e35e6faef5304074429ccad3a13187f98bce80c89b","source":{"kind":"arxiv","id":"1804.02988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02988","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02988v1","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02988","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"QRQ5NZL3L6MQ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QRQ5NZL3L6MQUAV3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QRQ5NZL3","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QRQ5NZL3L6MQUAV32HRV435O6U","target":"record","payload":{"canonical_record":{"source":{"id":"1804.02988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-03T22:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"c132b60a312fa825a2d811ed99c362227bc01a8df47d5522a8b922f3be48584c","abstract_canon_sha256":"3c1fea7a4373ba87ce70df7b49c0a03a7da59b31b2784f68447f76b7f58ff455"},"schema_version":"1.0"},"canonical_sha256":"8461d6e57b5f990a02bbd1e35e6faef5304074429ccad3a13187f98bce80c89b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:57.727183Z","signature_b64":"EVNOMCVykcId7RtxQ68bKuMQucmQQIlkYJAlx9TVprCeY1GRqHk0Lg+/nrV39bAw5HNNuczD4Zws1E4wWwNcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8461d6e57b5f990a02bbd1e35e6faef5304074429ccad3a13187f98bce80c89b","last_reissued_at":"2026-05-18T00:18:57.726680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:57.726680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.02988","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":"2026-05-18T00:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UEMtDxKhOWb0OEQ4EIvx6Q29jMarhD2E7LT8DfTmVuRIsY0TWpmIv4NZb5GSsG2noQAgzsmd74vra8XSBs+dCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:32:20.604435Z"},"content_sha256":"618bd27a7fe0acc5b62244e43b63febdab7e714b93aece4ac4f2612bfe42ec04","schema_version":"1.0","event_id":"sha256:618bd27a7fe0acc5b62244e43b63febdab7e714b93aece4ac4f2612bfe42ec04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QRQ5NZL3L6MQUAV32HRV435O6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A modified Friedmann equation for a system with varying gravitational mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alexander Vasilkov, Nick Gorkavyi","submitted_at":"2018-04-03T22:28:45Z","abstract_excerpt":"The Laser Interferometer Gravitational-Wave Observatory (LIGO) detection of gravitational waves that take away 5% of the total mass of two merging black holes points out on the importance of considering varying gravitational mass of a system. Using an assumption that the energy-momentum pseudo-tensor of gravitational waves is not considered as a source of gravitational field, we analyse a perturbation of the Friedmann-Robertson-Walker metric caused by the varying gravitational mass of a system. This perturbation leads to a modified Friedmann equation that contains a term similar to the 'cosmol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02988","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":""},"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":"2026-05-18T00:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mp3R3SsQBj+csjHeZeZdjjlAdinjGyTetKlAM8+eQiRbnMNQM5bLcxmN5B5aTJStlc/WeZs11/CetaHSyl2/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:32:20.605117Z"},"content_sha256":"53b3fd09ef613a05be99dfe8690d453a7c80af0805837e242be77701642eb114","schema_version":"1.0","event_id":"sha256:53b3fd09ef613a05be99dfe8690d453a7c80af0805837e242be77701642eb114"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QRQ5NZL3L6MQUAV32HRV435O6U/bundle.json","state_url":"https://pith.science/pith/QRQ5NZL3L6MQUAV32HRV435O6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QRQ5NZL3L6MQUAV32HRV435O6U/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":"2026-06-08T18:32:20Z","links":{"resolver":"https://pith.science/pith/QRQ5NZL3L6MQUAV32HRV435O6U","bundle":"https://pith.science/pith/QRQ5NZL3L6MQUAV32HRV435O6U/bundle.json","state":"https://pith.science/pith/QRQ5NZL3L6MQUAV32HRV435O6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QRQ5NZL3L6MQUAV32HRV435O6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QRQ5NZL3L6MQUAV32HRV435O6U","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":"3c1fea7a4373ba87ce70df7b49c0a03a7da59b31b2784f68447f76b7f58ff455","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-03T22:28:45Z","title_canon_sha256":"c132b60a312fa825a2d811ed99c362227bc01a8df47d5522a8b922f3be48584c"},"schema_version":"1.0","source":{"id":"1804.02988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02988","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02988v1","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02988","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"QRQ5NZL3L6MQ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QRQ5NZL3L6MQUAV3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QRQ5NZL3","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:53b3fd09ef613a05be99dfe8690d453a7c80af0805837e242be77701642eb114","target":"graph","created_at":"2026-05-18T00:18:57Z","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":"The Laser Interferometer Gravitational-Wave Observatory (LIGO) detection of gravitational waves that take away 5% of the total mass of two merging black holes points out on the importance of considering varying gravitational mass of a system. Using an assumption that the energy-momentum pseudo-tensor of gravitational waves is not considered as a source of gravitational field, we analyse a perturbation of the Friedmann-Robertson-Walker metric caused by the varying gravitational mass of a system. This perturbation leads to a modified Friedmann equation that contains a term similar to the 'cosmol","authors_text":"Alexander Vasilkov, Nick Gorkavyi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-03T22:28:45Z","title":"A modified Friedmann equation for a system with varying gravitational mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02988","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":"sha256:618bd27a7fe0acc5b62244e43b63febdab7e714b93aece4ac4f2612bfe42ec04","target":"record","created_at":"2026-05-18T00:18:57Z","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":"3c1fea7a4373ba87ce70df7b49c0a03a7da59b31b2784f68447f76b7f58ff455","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-03T22:28:45Z","title_canon_sha256":"c132b60a312fa825a2d811ed99c362227bc01a8df47d5522a8b922f3be48584c"},"schema_version":"1.0","source":{"id":"1804.02988","kind":"arxiv","version":1}},"canonical_sha256":"8461d6e57b5f990a02bbd1e35e6faef5304074429ccad3a13187f98bce80c89b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8461d6e57b5f990a02bbd1e35e6faef5304074429ccad3a13187f98bce80c89b","first_computed_at":"2026-05-18T00:18:57.726680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:57.726680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EVNOMCVykcId7RtxQ68bKuMQucmQQIlkYJAlx9TVprCeY1GRqHk0Lg+/nrV39bAw5HNNuczD4Zws1E4wWwNcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:57.727183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:618bd27a7fe0acc5b62244e43b63febdab7e714b93aece4ac4f2612bfe42ec04","sha256:53b3fd09ef613a05be99dfe8690d453a7c80af0805837e242be77701642eb114"],"state_sha256":"09b6bdf9676b2ec6404f57d7c97d317a08300b6be5a2fa6270d2e12fd737658f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"186Ohw1JeRNpnOiDhoRhChTY5MrwXZAYxhkmE0vvlp8/Qt7Kh9XgEF03UMpPf/NaKZXwPP18h7mwDafBfksJBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:32:20.608734Z","bundle_sha256":"9ed2772ab23ead13ea8584c6104b61b3b7115eac647a4ed59b7f12e79670af70"}}