{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:R4T73V6P454XIHYYRZ7JMP52WA","short_pith_number":"pith:R4T73V6P","canonical_record":{"source":{"id":"gr-qc/0608013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-02T16:26:27Z","cross_cats_sorted":[],"title_canon_sha256":"b67dc9c63ce886d8f64bfd8ccceb707e1546d8a8ced5d3eaf0bc17deb62f1078","abstract_canon_sha256":"a585af23015d26137692d5ef238833ee3901084d93b8a9fcba1ddeea33c31052"},"schema_version":"1.0"},"canonical_sha256":"8f27fdd7cfe779741f188e7e963fbab031ea0eed54031f53ace7dc99af72e8f5","source":{"kind":"arxiv","id":"gr-qc/0608013","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0608013","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0608013v1","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0608013","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"R4T73V6P454X","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R4T73V6P454XIHYY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R4T73V6P","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:R4T73V6P454XIHYYRZ7JMP52WA","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0608013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-02T16:26:27Z","cross_cats_sorted":[],"title_canon_sha256":"b67dc9c63ce886d8f64bfd8ccceb707e1546d8a8ced5d3eaf0bc17deb62f1078","abstract_canon_sha256":"a585af23015d26137692d5ef238833ee3901084d93b8a9fcba1ddeea33c31052"},"schema_version":"1.0"},"canonical_sha256":"8f27fdd7cfe779741f188e7e963fbab031ea0eed54031f53ace7dc99af72e8f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:46.859538Z","signature_b64":"LJiLFgds4MUhwq++w7piriL8529TSRBgvknV0vE2L0imwG5/Wf0vGpwfqNdp2ddnQCFsahPJgwofwiO4pHHADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f27fdd7cfe779741f188e7e963fbab031ea0eed54031f53ace7dc99af72e8f5","last_reissued_at":"2026-05-18T04:23:46.858812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:46.858812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0608013","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSoPLVHo6Z/xoU3F/L3kV8OOsQpJZlKXOpC0xcMEQxXMlBZfcqnVu/cJlabPRqKOnVRkutA5RBHqsj/TFa53DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:12:55.784665Z"},"content_sha256":"87ccabcaa105b95fecafc1d80514e5bc0b28e040acd312314d72533b6324141d","schema_version":"1.0","event_id":"sha256:87ccabcaa105b95fecafc1d80514e5bc0b28e040acd312314d72533b6324141d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:R4T73V6P454XIHYYRZ7JMP52WA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equations of motion for a (non-linear) scalar field model as derived from the field equations","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Shmuel Kaniel, Yakov Itin","submitted_at":"2006-08-02T16:26:27Z","abstract_excerpt":"The problem of derivation of the equations of motion from the field equations is considered. Einstein's field equations have a specific analytical form: They are linear in the second order derivatives and quadratic in the first order derivatives of the field variables. We utilize this particular form and propose a novel algorithm for thederivation of the equations of motion from the field equations. It is based on the condition of the balance between the singular terms of the field equation. We apply the algorithm to a nonlinear Lorentz invariant scalar field model. We show that it results in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0608013","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":""},"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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRof8+ViQmODaqlVD3ymiMvm5MPe84mF2wS36AxVM0dXI/35F7SpvOu7wGx6HKIhtrs16jaP+RXKcwosma+7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:12:55.785351Z"},"content_sha256":"1c90e84aae053068dcf3b2c5ca271fb963074779cb307330195c9fcc76110c65","schema_version":"1.0","event_id":"sha256:1c90e84aae053068dcf3b2c5ca271fb963074779cb307330195c9fcc76110c65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4T73V6P454XIHYYRZ7JMP52WA/bundle.json","state_url":"https://pith.science/pith/R4T73V6P454XIHYYRZ7JMP52WA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4T73V6P454XIHYYRZ7JMP52WA/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":"2026-06-08T04:12:55Z","links":{"resolver":"https://pith.science/pith/R4T73V6P454XIHYYRZ7JMP52WA","bundle":"https://pith.science/pith/R4T73V6P454XIHYYRZ7JMP52WA/bundle.json","state":"https://pith.science/pith/R4T73V6P454XIHYYRZ7JMP52WA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4T73V6P454XIHYYRZ7JMP52WA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:R4T73V6P454XIHYYRZ7JMP52WA","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":"a585af23015d26137692d5ef238833ee3901084d93b8a9fcba1ddeea33c31052","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-02T16:26:27Z","title_canon_sha256":"b67dc9c63ce886d8f64bfd8ccceb707e1546d8a8ced5d3eaf0bc17deb62f1078"},"schema_version":"1.0","source":{"id":"gr-qc/0608013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0608013","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0608013v1","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0608013","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"R4T73V6P454X","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R4T73V6P454XIHYY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R4T73V6P","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:1c90e84aae053068dcf3b2c5ca271fb963074779cb307330195c9fcc76110c65","target":"graph","created_at":"2026-05-18T04:23:46Z","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 problem of derivation of the equations of motion from the field equations is considered. Einstein's field equations have a specific analytical form: They are linear in the second order derivatives and quadratic in the first order derivatives of the field variables. We utilize this particular form and propose a novel algorithm for thederivation of the equations of motion from the field equations. It is based on the condition of the balance between the singular terms of the field equation. We apply the algorithm to a nonlinear Lorentz invariant scalar field model. We show that it results in ","authors_text":"Shmuel Kaniel, Yakov Itin","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-08-02T16:26:27Z","title":"Equations of motion for a (non-linear) scalar field model as derived from the field equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0608013","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":"sha256:87ccabcaa105b95fecafc1d80514e5bc0b28e040acd312314d72533b6324141d","target":"record","created_at":"2026-05-18T04:23:46Z","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":"a585af23015d26137692d5ef238833ee3901084d93b8a9fcba1ddeea33c31052","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-02T16:26:27Z","title_canon_sha256":"b67dc9c63ce886d8f64bfd8ccceb707e1546d8a8ced5d3eaf0bc17deb62f1078"},"schema_version":"1.0","source":{"id":"gr-qc/0608013","kind":"arxiv","version":1}},"canonical_sha256":"8f27fdd7cfe779741f188e7e963fbab031ea0eed54031f53ace7dc99af72e8f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f27fdd7cfe779741f188e7e963fbab031ea0eed54031f53ace7dc99af72e8f5","first_computed_at":"2026-05-18T04:23:46.858812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:46.858812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LJiLFgds4MUhwq++w7piriL8529TSRBgvknV0vE2L0imwG5/Wf0vGpwfqNdp2ddnQCFsahPJgwofwiO4pHHADg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:46.859538Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0608013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87ccabcaa105b95fecafc1d80514e5bc0b28e040acd312314d72533b6324141d","sha256:1c90e84aae053068dcf3b2c5ca271fb963074779cb307330195c9fcc76110c65"],"state_sha256":"ad4497c7092f42ad4371eeea271ad8ebd0f596bc29cb7389a136da382bbd2995"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Ii/jPS+OVhcbAP1xDFwznZcinUCW49mKhB7G7YjOGNpEf4OFu8IrBuNmPCzooE59G4orh8hdlaHUX0m51zWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:12:55.789353Z","bundle_sha256":"2bc846ad4fff98d3ca644b678f96ec7bc2dc45482060ce355297019ec4daca54"}}