{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:AWIGS67MPOLK7B3UX427ZREYQI","short_pith_number":"pith:AWIGS67M","canonical_record":{"source":{"id":"2112.06663","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-13T13:30:12Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"8769c29c38bd10e6ce16bae329c4a62091928aafb94f27598af08bdb6ef5e839","abstract_canon_sha256":"3390edfde86332fe65e76c457706a9345e4003cf1e21190001a8a55cccafaa34"},"schema_version":"1.0"},"canonical_sha256":"0590697bec7b96af8774bf35fcc4988223e59941ab76ee4bd0976aa765a6e6d3","source":{"kind":"arxiv","id":"2112.06663","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.06663","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"2112.06663v1","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.06663","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"AWIGS67MPOLK","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_16","alias_value":"AWIGS67MPOLK7B3U","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_8","alias_value":"AWIGS67M","created_at":"2026-07-05T03:40:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:AWIGS67MPOLK7B3UX427ZREYQI","target":"record","payload":{"canonical_record":{"source":{"id":"2112.06663","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-13T13:30:12Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"8769c29c38bd10e6ce16bae329c4a62091928aafb94f27598af08bdb6ef5e839","abstract_canon_sha256":"3390edfde86332fe65e76c457706a9345e4003cf1e21190001a8a55cccafaa34"},"schema_version":"1.0"},"canonical_sha256":"0590697bec7b96af8774bf35fcc4988223e59941ab76ee4bd0976aa765a6e6d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:40:15.773092Z","signature_b64":"Xl5DvbvtyPvl3ir6vvsvcMQ4hahpSuTVSg4AZ6PmWo+5Yehy4F107mnD0eLFcrcMZH1WiF4ISgfiISf56BxnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0590697bec7b96af8774bf35fcc4988223e59941ab76ee4bd0976aa765a6e6d3","last_reissued_at":"2026-07-05T03:40:15.772611Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:40:15.772611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.06663","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":"2026-07-05T03:40:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O2qDSliLR9YzypGR3LrVIurjxivEYAmW3wMxHvJBFQW5e5CLKO0/Y5LenYi5MEVpU3GMfy5hLBk3+I/knjX8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T01:24:22.705778Z"},"content_sha256":"8968ca6d73b703093f2a2bf77773fd626289e970ee5c4353c7ba40ef26a92163","schema_version":"1.0","event_id":"sha256:8968ca6d73b703093f2a2bf77773fd626289e970ee5c4353c7ba40ef26a92163"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:AWIGS67MPOLK7B3UX427ZREYQI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonconservative unimodular gravity: Gravitational waves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Hermano Velten, J\\'ulio C. Fabris, Mahamadou Hamani-Daouda, Marcelo H. Alvarenga","submitted_at":"2021-12-13T13:30:12Z","abstract_excerpt":"Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even though, if the conservation of the energy-momentum tensor is imposed in unimodular gravity, the General Relativity theory is recovered with an additional integration constant which is associated to the cosmological term $\\Lambda$. However, if the energy-momentum tensor does not conserve separately, a new geometric structure appears with potentially observati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.06663","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.06663/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":"2026-07-05T03:40:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68KJ10LZVtwMBqNMzAEqmnc7kdvXhHyDBQfAfZzA00Ryk+9MKw94l+c7dXH0ZfIP8ZGR32ZMQ34XdrFLORVoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T01:24:22.706152Z"},"content_sha256":"939e361321b7d4eb3a15c14a3d4636e9721edb051c1795a8373f964e58649027","schema_version":"1.0","event_id":"sha256:939e361321b7d4eb3a15c14a3d4636e9721edb051c1795a8373f964e58649027"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AWIGS67MPOLK7B3UX427ZREYQI/bundle.json","state_url":"https://pith.science/pith/AWIGS67MPOLK7B3UX427ZREYQI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AWIGS67MPOLK7B3UX427ZREYQI/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":"2026-07-16T01:24:22Z","links":{"resolver":"https://pith.science/pith/AWIGS67MPOLK7B3UX427ZREYQI","bundle":"https://pith.science/pith/AWIGS67MPOLK7B3UX427ZREYQI/bundle.json","state":"https://pith.science/pith/AWIGS67MPOLK7B3UX427ZREYQI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AWIGS67MPOLK7B3UX427ZREYQI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:AWIGS67MPOLK7B3UX427ZREYQI","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":"3390edfde86332fe65e76c457706a9345e4003cf1e21190001a8a55cccafaa34","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-13T13:30:12Z","title_canon_sha256":"8769c29c38bd10e6ce16bae329c4a62091928aafb94f27598af08bdb6ef5e839"},"schema_version":"1.0","source":{"id":"2112.06663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.06663","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"2112.06663v1","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.06663","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"AWIGS67MPOLK","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_16","alias_value":"AWIGS67MPOLK7B3U","created_at":"2026-07-05T03:40:15Z"},{"alias_kind":"pith_short_8","alias_value":"AWIGS67M","created_at":"2026-07-05T03:40:15Z"}],"graph_snapshots":[{"event_id":"sha256:939e361321b7d4eb3a15c14a3d4636e9721edb051c1795a8373f964e58649027","target":"graph","created_at":"2026-07-05T03:40:15Z","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/2112.06663/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even though, if the conservation of the energy-momentum tensor is imposed in unimodular gravity, the General Relativity theory is recovered with an additional integration constant which is associated to the cosmological term $\\Lambda$. However, if the energy-momentum tensor does not conserve separately, a new geometric structure appears with potentially observati","authors_text":"Hermano Velten, J\\'ulio C. Fabris, Mahamadou Hamani-Daouda, Marcelo H. Alvarenga","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-13T13:30:12Z","title":"Nonconservative unimodular gravity: Gravitational waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.06663","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":"sha256:8968ca6d73b703093f2a2bf77773fd626289e970ee5c4353c7ba40ef26a92163","target":"record","created_at":"2026-07-05T03:40:15Z","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":"3390edfde86332fe65e76c457706a9345e4003cf1e21190001a8a55cccafaa34","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-13T13:30:12Z","title_canon_sha256":"8769c29c38bd10e6ce16bae329c4a62091928aafb94f27598af08bdb6ef5e839"},"schema_version":"1.0","source":{"id":"2112.06663","kind":"arxiv","version":1}},"canonical_sha256":"0590697bec7b96af8774bf35fcc4988223e59941ab76ee4bd0976aa765a6e6d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0590697bec7b96af8774bf35fcc4988223e59941ab76ee4bd0976aa765a6e6d3","first_computed_at":"2026-07-05T03:40:15.772611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:40:15.772611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xl5DvbvtyPvl3ir6vvsvcMQ4hahpSuTVSg4AZ6PmWo+5Yehy4F107mnD0eLFcrcMZH1WiF4ISgfiISf56BxnCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:40:15.773092Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.06663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8968ca6d73b703093f2a2bf77773fd626289e970ee5c4353c7ba40ef26a92163","sha256:939e361321b7d4eb3a15c14a3d4636e9721edb051c1795a8373f964e58649027"],"state_sha256":"0e0cb56b11f3b71625951fb7657439987b351b1b9faf80480da064cd76eba94f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VC467DmLCpytp8sZ3C02qwAv97IHIELxaK9bSAB0WBDemYaC3yyia7dn02cR5pbhLQurdkXVIjPCL5efhmBEAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T01:24:22.708396Z","bundle_sha256":"aaec4d91203925cab54725d0df4e80bdb9d48b5371f4bdda2e83cb0cf3b2a098"}}