{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5LXRLSPVQJRV4BUK4YFRIS2365","short_pith_number":"pith:5LXRLSPV","canonical_record":{"source":{"id":"1206.5078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-22T08:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"f39a50fa8e6d54a2987d26467eb23e758c372b6dcae65453048700080552a65a","abstract_canon_sha256":"01b6d1609f1d42ba37c389d66080aab5b44b95aafb586068b5b4c099a8b22d61"},"schema_version":"1.0"},"canonical_sha256":"eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397","source":{"kind":"arxiv","id":"1206.5078","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5078","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5078v2","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5078","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"5LXRLSPVQJRV","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5LXRLSPVQJRV4BUK","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5LXRLSPV","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5LXRLSPVQJRV4BUK4YFRIS2365","target":"record","payload":{"canonical_record":{"source":{"id":"1206.5078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-22T08:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"f39a50fa8e6d54a2987d26467eb23e758c372b6dcae65453048700080552a65a","abstract_canon_sha256":"01b6d1609f1d42ba37c389d66080aab5b44b95aafb586068b5b4c099a8b22d61"},"schema_version":"1.0"},"canonical_sha256":"eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:43.885289Z","signature_b64":"jUkayBHrGqaXxvvq7+y1N3Us0OFlH9fvtatC8kSNkBcvP5GybD/BbOBrE8Ag2F/UamGe3W2LH6Djyno/XnUtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397","last_reissued_at":"2026-05-18T03:15:43.884580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:43.884580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.5078","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6rhy6GYiUGYjKBRucEVDaDHjicBn8K058yrQSvYTfB22N3rz+WuPLWqwlpGethpte1lJcISV/HCfz4ueAS2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:04:08.083023Z"},"content_sha256":"e67ab9e88148e991f565e0383ea92ba06abb3d42f1027094d86aec5c38ecf0ea","schema_version":"1.0","event_id":"sha256:e67ab9e88148e991f565e0383ea92ba06abb3d42f1027094d86aec5c38ecf0ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5LXRLSPVQJRV4BUK4YFRIS2365","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational Field Equations and Theory of Dark Matter and Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Shouhong Wang, Tian Ma","submitted_at":"2012-06-22T08:00:23Z","abstract_excerpt":"The main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitational field equations with scalar potential $\\varphi$ are derived using the Einstein-Hilbert functional, and the scalar potential $\\varphi$ is a natural outcome of the divergence-free constraint of the variational elements. Gravitation is now described by the Riemannian metric $g_{ij}$, the scalar potential $\\varphi$ and their interactions, unified by the new gravitational field equations. Associated with the scalar po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5078","kind":"arxiv","version":2},"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":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M20EksqFvaIpmG71+/QB0Sz7stxdPoqxMHBhKhj1iG3P463iopIJiQxGTxVwINSs9CRKHqczHsBUTZ5XSD6tCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:04:08.083395Z"},"content_sha256":"6ae8fd0481e2a978d88cd03f37bdf63405b0fe79c5b1e3c90f89185205da0725","schema_version":"1.0","event_id":"sha256:6ae8fd0481e2a978d88cd03f37bdf63405b0fe79c5b1e3c90f89185205da0725"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LXRLSPVQJRV4BUK4YFRIS2365/bundle.json","state_url":"https://pith.science/pith/5LXRLSPVQJRV4BUK4YFRIS2365/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LXRLSPVQJRV4BUK4YFRIS2365/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":"2026-05-28T05:04:08Z","links":{"resolver":"https://pith.science/pith/5LXRLSPVQJRV4BUK4YFRIS2365","bundle":"https://pith.science/pith/5LXRLSPVQJRV4BUK4YFRIS2365/bundle.json","state":"https://pith.science/pith/5LXRLSPVQJRV4BUK4YFRIS2365/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LXRLSPVQJRV4BUK4YFRIS2365/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5LXRLSPVQJRV4BUK4YFRIS2365","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":"01b6d1609f1d42ba37c389d66080aab5b44b95aafb586068b5b4c099a8b22d61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-22T08:00:23Z","title_canon_sha256":"f39a50fa8e6d54a2987d26467eb23e758c372b6dcae65453048700080552a65a"},"schema_version":"1.0","source":{"id":"1206.5078","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5078","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5078v2","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5078","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"5LXRLSPVQJRV","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5LXRLSPVQJRV4BUK","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5LXRLSPV","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:6ae8fd0481e2a978d88cd03f37bdf63405b0fe79c5b1e3c90f89185205da0725","target":"graph","created_at":"2026-05-18T03:15:43Z","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 main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitational field equations with scalar potential $\\varphi$ are derived using the Einstein-Hilbert functional, and the scalar potential $\\varphi$ is a natural outcome of the divergence-free constraint of the variational elements. Gravitation is now described by the Riemannian metric $g_{ij}$, the scalar potential $\\varphi$ and their interactions, unified by the new gravitational field equations. Associated with the scalar po","authors_text":"Shouhong Wang, Tian Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-22T08:00:23Z","title":"Gravitational Field Equations and Theory of Dark Matter and Dark Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5078","kind":"arxiv","version":2},"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:e67ab9e88148e991f565e0383ea92ba06abb3d42f1027094d86aec5c38ecf0ea","target":"record","created_at":"2026-05-18T03:15:43Z","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":"01b6d1609f1d42ba37c389d66080aab5b44b95aafb586068b5b4c099a8b22d61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-22T08:00:23Z","title_canon_sha256":"f39a50fa8e6d54a2987d26467eb23e758c372b6dcae65453048700080552a65a"},"schema_version":"1.0","source":{"id":"1206.5078","kind":"arxiv","version":2}},"canonical_sha256":"eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397","first_computed_at":"2026-05-18T03:15:43.884580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:43.884580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jUkayBHrGqaXxvvq7+y1N3Us0OFlH9fvtatC8kSNkBcvP5GybD/BbOBrE8Ag2F/UamGe3W2LH6Djyno/XnUtAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:43.885289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5078","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e67ab9e88148e991f565e0383ea92ba06abb3d42f1027094d86aec5c38ecf0ea","sha256:6ae8fd0481e2a978d88cd03f37bdf63405b0fe79c5b1e3c90f89185205da0725"],"state_sha256":"1da7c10069f34da1cea56323bcccfc60f1a6b506cb13c2c87c88b4dbae091ed8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7L70dO46JAvOQ+INvUfTXtgW9EliTqYdNu4yoPS3ik7W5BHLE7H5IRxDJGcnFfZJ5HCVAHhwLh6YLrBFYvJ5AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:04:08.086448Z","bundle_sha256":"871e082b43cb17d1d5c01cfc2a7136ed020db4037dabacded7587d5144308ee4"}}