{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XEDO4PTBGUQAS54WUDBNBXEMPZ","short_pith_number":"pith:XEDO4PTB","canonical_record":{"source":{"id":"1108.1856","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-09T05:29:17Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"892357159b50245c971e4d62a5ae0227ee5e8569a8f6a2782584404cce396253","abstract_canon_sha256":"24f72496970d760df732db9b98bfe1f7d099c2328da6124fc1adc2771052bc2c"},"schema_version":"1.0"},"canonical_sha256":"b906ee3e613520097796a0c2d0dc8c7e4bcdb88440c28adc4c544867b389dd81","source":{"kind":"arxiv","id":"1108.1856","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1856","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1856v3","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1856","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"XEDO4PTBGUQA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEDO4PTBGUQAS54W","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEDO4PTB","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XEDO4PTBGUQAS54WUDBNBXEMPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1108.1856","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-09T05:29:17Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"892357159b50245c971e4d62a5ae0227ee5e8569a8f6a2782584404cce396253","abstract_canon_sha256":"24f72496970d760df732db9b98bfe1f7d099c2328da6124fc1adc2771052bc2c"},"schema_version":"1.0"},"canonical_sha256":"b906ee3e613520097796a0c2d0dc8c7e4bcdb88440c28adc4c544867b389dd81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:59.989394Z","signature_b64":"HksewH214CmWkt4TKWDmnAt8Qgf9UbEvj/CQOFUxxPWa/RLD3ZU3HzAjXvCIxqkihBOzDxg0hsmKbIXf9tZJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b906ee3e613520097796a0c2d0dc8c7e4bcdb88440c28adc4c544867b389dd81","last_reissued_at":"2026-05-18T02:00:59.988728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:59.988728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.1856","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":"2026-05-18T02:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"caVrTiuHYOQ874ftbuAzgjRDdiFpFbvmq87cldMK6tfNrje+l2ZEpDqNpgGhralCKqbDqK6KMeFbNy85vW90DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:06:08.261080Z"},"content_sha256":"8f78402e76bd41cc0631e581fdb2048194be25b539ce4a3db0e4be09f2f6d106","schema_version":"1.0","event_id":"sha256:8f78402e76bd41cc0631e581fdb2048194be25b539ce4a3db0e4be09f2f6d106"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XEDO4PTBGUQAS54WUDBNBXEMPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing Unimodular Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Naveen K. Singh, Pankaj Jain, Purnendu Karmakar, Subhadip Mitra, Sukanta Panda","submitted_at":"2011-08-09T05:29:17Z","abstract_excerpt":"We consider models of gravitation that are based on unimodular general coordinate transformations (GCT). These transformations include only those which do not change the determinant of the metric. We treat the determinant as a separate field which transforms as a scalar under unimodular GCT. We consider a class of such theories. In general, these theories do not transform covariantly under the full GCT. We characterize the violation of general coordinate invariance by introducing a new parameter. We show that the theory is consistent with observations for a wide range of this parameter. This p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1856","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":"2026-05-18T02:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M/RzW2GPklRGorB2PUkdfE2mEVSPKQlC4TlAZPCO98IXGfJWsmg2/jiszwP2YLlzx+iNZOh/VMGHMAaTWon5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:06:08.261648Z"},"content_sha256":"cd380ff94d3f984d379f592a755374bc9f8ebbe0ebed596521e91cff47714fff","schema_version":"1.0","event_id":"sha256:cd380ff94d3f984d379f592a755374bc9f8ebbe0ebed596521e91cff47714fff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/bundle.json","state_url":"https://pith.science/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/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":"2026-06-07T21:06:08Z","links":{"resolver":"https://pith.science/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ","bundle":"https://pith.science/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/bundle.json","state":"https://pith.science/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEDO4PTBGUQAS54WUDBNBXEMPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XEDO4PTBGUQAS54WUDBNBXEMPZ","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":"24f72496970d760df732db9b98bfe1f7d099c2328da6124fc1adc2771052bc2c","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-09T05:29:17Z","title_canon_sha256":"892357159b50245c971e4d62a5ae0227ee5e8569a8f6a2782584404cce396253"},"schema_version":"1.0","source":{"id":"1108.1856","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1856","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1856v3","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1856","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"XEDO4PTBGUQA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEDO4PTBGUQAS54W","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEDO4PTB","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:cd380ff94d3f984d379f592a755374bc9f8ebbe0ebed596521e91cff47714fff","target":"graph","created_at":"2026-05-18T02:00:59Z","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":"We consider models of gravitation that are based on unimodular general coordinate transformations (GCT). These transformations include only those which do not change the determinant of the metric. We treat the determinant as a separate field which transforms as a scalar under unimodular GCT. We consider a class of such theories. In general, these theories do not transform covariantly under the full GCT. We characterize the violation of general coordinate invariance by introducing a new parameter. We show that the theory is consistent with observations for a wide range of this parameter. This p","authors_text":"Naveen K. Singh, Pankaj Jain, Purnendu Karmakar, Subhadip Mitra, Sukanta Panda","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-09T05:29:17Z","title":"Testing Unimodular Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1856","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":"sha256:8f78402e76bd41cc0631e581fdb2048194be25b539ce4a3db0e4be09f2f6d106","target":"record","created_at":"2026-05-18T02:00:59Z","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":"24f72496970d760df732db9b98bfe1f7d099c2328da6124fc1adc2771052bc2c","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-09T05:29:17Z","title_canon_sha256":"892357159b50245c971e4d62a5ae0227ee5e8569a8f6a2782584404cce396253"},"schema_version":"1.0","source":{"id":"1108.1856","kind":"arxiv","version":3}},"canonical_sha256":"b906ee3e613520097796a0c2d0dc8c7e4bcdb88440c28adc4c544867b389dd81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b906ee3e613520097796a0c2d0dc8c7e4bcdb88440c28adc4c544867b389dd81","first_computed_at":"2026-05-18T02:00:59.988728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:59.988728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HksewH214CmWkt4TKWDmnAt8Qgf9UbEvj/CQOFUxxPWa/RLD3ZU3HzAjXvCIxqkihBOzDxg0hsmKbIXf9tZJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:59.989394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1856","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f78402e76bd41cc0631e581fdb2048194be25b539ce4a3db0e4be09f2f6d106","sha256:cd380ff94d3f984d379f592a755374bc9f8ebbe0ebed596521e91cff47714fff"],"state_sha256":"1442e9841827d91fc6131622cc64a6d193b4a23afaddb3364d50270a26fe259a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pt14Bzr/m8MTzErs+LXhZtoJuwU7oDF7EvRny9m/kIx5inOXG3pUymyRhyZaq5U4MGJ4yuDVM2reOWowQHfeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:06:08.265113Z","bundle_sha256":"8add4eb6fc05639467c108da624f6b6c445bd554f58d9ef68662e7d5a368834c"}}