{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TCWTAHWZLMQJ7TS5LBDMOLYJ6G","short_pith_number":"pith:TCWTAHWZ","canonical_record":{"source":{"id":"1208.3096","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-08-15T11:51:06Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bb7ec8602f353e5abe9cafafea4416a846a6f242c0f012f69a694051c03295a0","abstract_canon_sha256":"804a29adbf8a62b0f9acfa490a5095b5f515c08d6799d41b595d3275f7a80fcf"},"schema_version":"1.0"},"canonical_sha256":"98ad301ed95b209fce5d5846c72f09f19bde523c16b776b6a8b813d829f15f42","source":{"kind":"arxiv","id":"1208.3096","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3096","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3096v2","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3096","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"TCWTAHWZLMQJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TCWTAHWZLMQJ7TS5","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TCWTAHWZ","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TCWTAHWZLMQJ7TS5LBDMOLYJ6G","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3096","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-08-15T11:51:06Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bb7ec8602f353e5abe9cafafea4416a846a6f242c0f012f69a694051c03295a0","abstract_canon_sha256":"804a29adbf8a62b0f9acfa490a5095b5f515c08d6799d41b595d3275f7a80fcf"},"schema_version":"1.0"},"canonical_sha256":"98ad301ed95b209fce5d5846c72f09f19bde523c16b776b6a8b813d829f15f42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:15.690858Z","signature_b64":"9laLxdUhVfZg0F3bpZpcIm/RBrXxPARTRCqnTta3qoCEvI26DK/pOcrPDzC+rXkH6G+nTRivfVdCXPLeb+MyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98ad301ed95b209fce5d5846c72f09f19bde523c16b776b6a8b813d829f15f42","last_reissued_at":"2026-05-18T01:55:15.690449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:15.690449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3096","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":"2026-05-18T01:55:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zn7WsMTF4zQ9AVVZBN5h9nfnblK757NkEN8+yOIYoUWNVNMJifKOuHNKvqhe3FB+hvB/8hOeaEI7bEV+Zmn3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:30:13.632555Z"},"content_sha256":"77ce99f3b27bb56d50b1422c26cc12bcee2053d13b2ed6e118ef347c0725416a","schema_version":"1.0","event_id":"sha256:77ce99f3b27bb56d50b1422c26cc12bcee2053d13b2ed6e118ef347c0725416a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TCWTAHWZLMQJ7TS5LBDMOLYJ6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mechanics, cosmology and Mach's principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"physics.class-ph","authors_text":"Hanno Essen","submitted_at":"2012-08-15T11:51:06Z","abstract_excerpt":"It is pointed out that recent cosmological findings seem to support the view that the mass/energy distribution of the universe defines the Newtonian inertial frames as originally suggested by Mach. The background concepts of inertial frame, Newton's second law, and fictitious forces are clarified. A precise definition of Mach's principle is suggested. Then an approximation to general relativity discovered by Einstein, Infeld, and Hoffmann is used and it is found that this precise formulation of Mach's principle is realized provided the mass/energy density of the universe has a specific value. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3096","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":"2026-05-18T01:55:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4zs/nWZGz2cXmMLdzTa7ELlJ7f+pX88wfwtx1O1uYzlFAqhxOIo1l12QBxW+GV11HXaZUTeRlvCpUB1cTyloBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:30:13.633229Z"},"content_sha256":"98d0f2955cdb6c1b519831613975999484e5276396728d946cc01c785627d9fa","schema_version":"1.0","event_id":"sha256:98d0f2955cdb6c1b519831613975999484e5276396728d946cc01c785627d9fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/bundle.json","state_url":"https://pith.science/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/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":"2026-06-07T17:30:13Z","links":{"resolver":"https://pith.science/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G","bundle":"https://pith.science/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/bundle.json","state":"https://pith.science/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCWTAHWZLMQJ7TS5LBDMOLYJ6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TCWTAHWZLMQJ7TS5LBDMOLYJ6G","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":"804a29adbf8a62b0f9acfa490a5095b5f515c08d6799d41b595d3275f7a80fcf","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-08-15T11:51:06Z","title_canon_sha256":"bb7ec8602f353e5abe9cafafea4416a846a6f242c0f012f69a694051c03295a0"},"schema_version":"1.0","source":{"id":"1208.3096","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3096","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3096v2","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3096","created_at":"2026-05-18T01:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"TCWTAHWZLMQJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TCWTAHWZLMQJ7TS5","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TCWTAHWZ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:98d0f2955cdb6c1b519831613975999484e5276396728d946cc01c785627d9fa","target":"graph","created_at":"2026-05-18T01:55:15Z","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"},"paper":{"abstract_excerpt":"It is pointed out that recent cosmological findings seem to support the view that the mass/energy distribution of the universe defines the Newtonian inertial frames as originally suggested by Mach. The background concepts of inertial frame, Newton's second law, and fictitious forces are clarified. A precise definition of Mach's principle is suggested. Then an approximation to general relativity discovered by Einstein, Infeld, and Hoffmann is used and it is found that this precise formulation of Mach's principle is realized provided the mass/energy density of the universe has a specific value. ","authors_text":"Hanno Essen","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-08-15T11:51:06Z","title":"Mechanics, cosmology and Mach's principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3096","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":"sha256:77ce99f3b27bb56d50b1422c26cc12bcee2053d13b2ed6e118ef347c0725416a","target":"record","created_at":"2026-05-18T01:55:15Z","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":"804a29adbf8a62b0f9acfa490a5095b5f515c08d6799d41b595d3275f7a80fcf","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-08-15T11:51:06Z","title_canon_sha256":"bb7ec8602f353e5abe9cafafea4416a846a6f242c0f012f69a694051c03295a0"},"schema_version":"1.0","source":{"id":"1208.3096","kind":"arxiv","version":2}},"canonical_sha256":"98ad301ed95b209fce5d5846c72f09f19bde523c16b776b6a8b813d829f15f42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98ad301ed95b209fce5d5846c72f09f19bde523c16b776b6a8b813d829f15f42","first_computed_at":"2026-05-18T01:55:15.690449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:15.690449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9laLxdUhVfZg0F3bpZpcIm/RBrXxPARTRCqnTta3qoCEvI26DK/pOcrPDzC+rXkH6G+nTRivfVdCXPLeb+MyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:15.690858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3096","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77ce99f3b27bb56d50b1422c26cc12bcee2053d13b2ed6e118ef347c0725416a","sha256:98d0f2955cdb6c1b519831613975999484e5276396728d946cc01c785627d9fa"],"state_sha256":"b3b56f8c7b8c5e91222e75e5357094263f59839b3c9b86beca5512ece0e8dfb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5AlxPogQQRy1sZNnu4Glow9j3wywkW37EHnNdl42Fv7yPa/CyqMoBUyZ9DCJP6VRjg5ABDsVvbyWjR+LYgBCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:30:13.637147Z","bundle_sha256":"031c4256703cda60710521c8f02a8d95ea913388341b9eef7016a813aca5b5bd"}}