{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TV4JVPF7WDOSMZ457VJWYNNKXJ","short_pith_number":"pith:TV4JVPF7","canonical_record":{"source":{"id":"2406.00932","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T02:03:09Z","cross_cats_sorted":[],"title_canon_sha256":"35523c053487b481720a12b6237a8f5aafb2bd4ecdf267e6c4a0e3c293d443e6","abstract_canon_sha256":"c7c6848226b6b9f845817f74d09dcf97a574bb02f7a426c106a42b921b15ab91"},"schema_version":"1.0"},"canonical_sha256":"9d789abcbfb0dd26679dfd536c35aaba67e41174a6b093ec00d39ac497df7778","source":{"kind":"arxiv","id":"2406.00932","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00932","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00932v4","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00932","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"TV4JVPF7WDOS","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"TV4JVPF7WDOSMZ45","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"TV4JVPF7","created_at":"2026-07-05T09:59:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TV4JVPF7WDOSMZ457VJWYNNKXJ","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00932","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T02:03:09Z","cross_cats_sorted":[],"title_canon_sha256":"35523c053487b481720a12b6237a8f5aafb2bd4ecdf267e6c4a0e3c293d443e6","abstract_canon_sha256":"c7c6848226b6b9f845817f74d09dcf97a574bb02f7a426c106a42b921b15ab91"},"schema_version":"1.0"},"canonical_sha256":"9d789abcbfb0dd26679dfd536c35aaba67e41174a6b093ec00d39ac497df7778","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:48.026411Z","signature_b64":"94tY+D4t9KLYXuZScrOHV1P7IfjGm1sSkvsIE5Woad6ajqPizuxuxdfzTPDHCFnMjM0cpkTCazUF3u/ALbA7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d789abcbfb0dd26679dfd536c35aaba67e41174a6b093ec00d39ac497df7778","last_reissued_at":"2026-07-05T09:59:48.025896Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:48.025896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00932","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kq1tY5YNPhC4Fy4w8iWjHP5Rwcmb0LOypr67pznfEfMfrBLgVPeIiKOtQ9JaE2vASqE2GaMQ1L0kQ8W51340BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:45:38.186002Z"},"content_sha256":"86fc661f6c51c0be16375c6ae4479e99d7389bf7224f4791fe9d062dfb9927b7","schema_version":"1.0","event_id":"sha256:86fc661f6c51c0be16375c6ae4479e99d7389bf7224f4791fe9d062dfb9927b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TV4JVPF7WDOSMZ457VJWYNNKXJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological constant as an integration constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Justin C. Feng, Pisin Chen","submitted_at":"2024-06-03T02:03:09Z","abstract_excerpt":"The discrepancy between the observed value of the cosmological constant (CC) and its expected value from quantum field theoretical considerations motivates the search for a theory in which the CC is decoupled from the vacuum energy. In this article, we consider the viability of theories in which the Einstein equations are recovered (without additional constraints) and in which the CC is regarded as an integration constant. These theories include trace-free Einstein gravity, theories constructed from the Codazzi equation (which includes Cotton gravity and a gauge-gravity inspired theory), and c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00932","kind":"arxiv","version":4},"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/2406.00932/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":"2026-07-05T09:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Lmp0WKotNBO3prBMUCY8MBhFdBNfwJrUhpiT8NXR1UC3+BpOP7nDjuNlDPSCiU+L1NAVhFJWt7VokbeW+AnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:45:38.186381Z"},"content_sha256":"0f9fb796a709775a3ad84ad30454de60e67b5600a5237c94d25f221c6c713a57","schema_version":"1.0","event_id":"sha256:0f9fb796a709775a3ad84ad30454de60e67b5600a5237c94d25f221c6c713a57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/bundle.json","state_url":"https://pith.science/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/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":"2026-07-06T20:45:38Z","links":{"resolver":"https://pith.science/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ","bundle":"https://pith.science/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/bundle.json","state":"https://pith.science/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TV4JVPF7WDOSMZ457VJWYNNKXJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TV4JVPF7WDOSMZ457VJWYNNKXJ","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":"c7c6848226b6b9f845817f74d09dcf97a574bb02f7a426c106a42b921b15ab91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T02:03:09Z","title_canon_sha256":"35523c053487b481720a12b6237a8f5aafb2bd4ecdf267e6c4a0e3c293d443e6"},"schema_version":"1.0","source":{"id":"2406.00932","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00932","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00932v4","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00932","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"TV4JVPF7WDOS","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"TV4JVPF7WDOSMZ45","created_at":"2026-07-05T09:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"TV4JVPF7","created_at":"2026-07-05T09:59:48Z"}],"graph_snapshots":[{"event_id":"sha256:0f9fb796a709775a3ad84ad30454de60e67b5600a5237c94d25f221c6c713a57","target":"graph","created_at":"2026-07-05T09:59:48Z","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/2406.00932/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The discrepancy between the observed value of the cosmological constant (CC) and its expected value from quantum field theoretical considerations motivates the search for a theory in which the CC is decoupled from the vacuum energy. In this article, we consider the viability of theories in which the Einstein equations are recovered (without additional constraints) and in which the CC is regarded as an integration constant. These theories include trace-free Einstein gravity, theories constructed from the Codazzi equation (which includes Cotton gravity and a gauge-gravity inspired theory), and c","authors_text":"Justin C. Feng, Pisin Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T02:03:09Z","title":"Cosmological constant as an integration constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00932","kind":"arxiv","version":4},"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":"sha256:86fc661f6c51c0be16375c6ae4479e99d7389bf7224f4791fe9d062dfb9927b7","target":"record","created_at":"2026-07-05T09:59:48Z","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":"c7c6848226b6b9f845817f74d09dcf97a574bb02f7a426c106a42b921b15ab91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T02:03:09Z","title_canon_sha256":"35523c053487b481720a12b6237a8f5aafb2bd4ecdf267e6c4a0e3c293d443e6"},"schema_version":"1.0","source":{"id":"2406.00932","kind":"arxiv","version":4}},"canonical_sha256":"9d789abcbfb0dd26679dfd536c35aaba67e41174a6b093ec00d39ac497df7778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d789abcbfb0dd26679dfd536c35aaba67e41174a6b093ec00d39ac497df7778","first_computed_at":"2026-07-05T09:59:48.025896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:48.025896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"94tY+D4t9KLYXuZScrOHV1P7IfjGm1sSkvsIE5Woad6ajqPizuxuxdfzTPDHCFnMjM0cpkTCazUF3u/ALbA7AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:48.026411Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00932","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86fc661f6c51c0be16375c6ae4479e99d7389bf7224f4791fe9d062dfb9927b7","sha256:0f9fb796a709775a3ad84ad30454de60e67b5600a5237c94d25f221c6c713a57"],"state_sha256":"d7bfea848364189557baef97c98262eef1d4364a74354d3a30f20358413ca8d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZfB/Kru1A+OIs7J58TPQnJi/fuiMIkbUKDF0NJMytUunckcHxY+00Ew09lEczGALHjTn40/MZB7sCGpsyyhDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:45:38.188283Z","bundle_sha256":"034b0f41ddcdeaa6533e5bd3e584f0f52a587dc0f49520ec1a8154c6298f27f6"}}