{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:SZHE6FPGPT6JQE5OMWML3HZ2HS","short_pith_number":"pith:SZHE6FPG","canonical_record":{"source":{"id":"gr-qc/0507007","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-07-01T21:12:34Z","cross_cats_sorted":[],"title_canon_sha256":"407ddd1c683b446da3b1fd5609ff850b18f1a1fc35b0a750f3657a382a0fb324","abstract_canon_sha256":"104afe24b4ab3abd8a138e56f6620d3add11e669a6a975bd13489c837dbc4087"},"schema_version":"1.0"},"canonical_sha256":"964e4f15e67cfc9813ae6598bd9f3a3cb80e3bcd2202ad0e9c9509c59d5bfee3","source":{"kind":"arxiv","id":"gr-qc/0507007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0507007","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0507007v2","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0507007","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"SZHE6FPGPT6J","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"SZHE6FPGPT6JQE5O","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"SZHE6FPG","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:SZHE6FPGPT6JQE5OMWML3HZ2HS","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0507007","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-07-01T21:12:34Z","cross_cats_sorted":[],"title_canon_sha256":"407ddd1c683b446da3b1fd5609ff850b18f1a1fc35b0a750f3657a382a0fb324","abstract_canon_sha256":"104afe24b4ab3abd8a138e56f6620d3add11e669a6a975bd13489c837dbc4087"},"schema_version":"1.0"},"canonical_sha256":"964e4f15e67cfc9813ae6598bd9f3a3cb80e3bcd2202ad0e9c9509c59d5bfee3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:46.902881Z","signature_b64":"qeRr9bhF56PuYpiQsVKBoS/on9YSRca5e2NaSlPPnWE0BBh7V4ldlXZxcYalOUzvlCf+SFQ5BrJpUQmj+JAQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"964e4f15e67cfc9813ae6598bd9f3a3cb80e3bcd2202ad0e9c9509c59d5bfee3","last_reissued_at":"2026-05-18T04:23:46.902349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:46.902349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0507007","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vUTU4C2pLAXYgrZyitCLbHlDhAMJ7g7rVsxj2FyM6Sl8/Zm7yORjRozCx6xfmPi4xFtwx7Xecwi6XG+fuySVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:51.548692Z"},"content_sha256":"9379b23dd184b92c20fd69df83d9e157b2a91c4c121db542ccd91002f5c9c963","schema_version":"1.0","event_id":"sha256:9379b23dd184b92c20fd69df83d9e157b2a91c4c121db542ccd91002f5c9c963"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:SZHE6FPGPT6JQE5OMWML3HZ2HS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized harmonic spatial coordinates and hyperbolic shift conditions","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alejandro Corichi, Bernd Reimann, Dar\\'io N\\'u\\~nez, Jos\\'e A. Gonz\\'alez, Marcelo Salgado, Miguel Alcubierre","submitted_at":"2005-07-01T21:12:34Z","abstract_excerpt":"We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al., and closely related to dynamic shift conditions recently proposed by Lindblom and Scheel, and Bona and Palenzuela. These generalized harmonic spatial coordinates imply a condition for the shift vector that has the form of an evolution equation for the shift components. We find that in order to decouple the slicing condition from the evolution equation for the shift it is necessary to use a rescaled shift vector. The initial form of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0507007","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JV2oKofWn3mN+BK0jERZrILnNLe8RA3Ox0cP15Dk33NR0/cjo4+v8Y3r0SfEBFkTEsh6X9GA3ZITYN57bWacCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:51.549421Z"},"content_sha256":"159f7b65d9f046c90b0bd28f028db77b3174d4da6604ed0ae6f14aa273905f17","schema_version":"1.0","event_id":"sha256:159f7b65d9f046c90b0bd28f028db77b3174d4da6604ed0ae6f14aa273905f17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/bundle.json","state_url":"https://pith.science/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/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":"2026-05-31T20:09:51Z","links":{"resolver":"https://pith.science/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS","bundle":"https://pith.science/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/bundle.json","state":"https://pith.science/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZHE6FPGPT6JQE5OMWML3HZ2HS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:SZHE6FPGPT6JQE5OMWML3HZ2HS","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":"104afe24b4ab3abd8a138e56f6620d3add11e669a6a975bd13489c837dbc4087","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-07-01T21:12:34Z","title_canon_sha256":"407ddd1c683b446da3b1fd5609ff850b18f1a1fc35b0a750f3657a382a0fb324"},"schema_version":"1.0","source":{"id":"gr-qc/0507007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0507007","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0507007v2","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0507007","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"SZHE6FPGPT6J","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"SZHE6FPGPT6JQE5O","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"SZHE6FPG","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:159f7b65d9f046c90b0bd28f028db77b3174d4da6604ed0ae6f14aa273905f17","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":"We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al., and closely related to dynamic shift conditions recently proposed by Lindblom and Scheel, and Bona and Palenzuela. These generalized harmonic spatial coordinates imply a condition for the shift vector that has the form of an evolution equation for the shift components. We find that in order to decouple the slicing condition from the evolution equation for the shift it is necessary to use a rescaled shift vector. The initial form of","authors_text":"Alejandro Corichi, Bernd Reimann, Dar\\'io N\\'u\\~nez, Jos\\'e A. Gonz\\'alez, Marcelo Salgado, Miguel Alcubierre","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-07-01T21:12:34Z","title":"Generalized harmonic spatial coordinates and hyperbolic shift conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0507007","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":"sha256:9379b23dd184b92c20fd69df83d9e157b2a91c4c121db542ccd91002f5c9c963","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":"104afe24b4ab3abd8a138e56f6620d3add11e669a6a975bd13489c837dbc4087","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-07-01T21:12:34Z","title_canon_sha256":"407ddd1c683b446da3b1fd5609ff850b18f1a1fc35b0a750f3657a382a0fb324"},"schema_version":"1.0","source":{"id":"gr-qc/0507007","kind":"arxiv","version":2}},"canonical_sha256":"964e4f15e67cfc9813ae6598bd9f3a3cb80e3bcd2202ad0e9c9509c59d5bfee3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"964e4f15e67cfc9813ae6598bd9f3a3cb80e3bcd2202ad0e9c9509c59d5bfee3","first_computed_at":"2026-05-18T04:23:46.902349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:46.902349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qeRr9bhF56PuYpiQsVKBoS/on9YSRca5e2NaSlPPnWE0BBh7V4ldlXZxcYalOUzvlCf+SFQ5BrJpUQmj+JAQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:46.902881Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0507007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9379b23dd184b92c20fd69df83d9e157b2a91c4c121db542ccd91002f5c9c963","sha256:159f7b65d9f046c90b0bd28f028db77b3174d4da6604ed0ae6f14aa273905f17"],"state_sha256":"01d681eff7f9faa514b686408c78495363c681ee0f69c67642a826d313c4091a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Olvr4Gk7BHpa/0Yt7+tOsw3vx0rxZ36M3gz6MRZFrUfcjmIQbXrQ9Cfza7GRPSOzCYJM+wzPcutD+8UIR6CnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:09:51.553646Z","bundle_sha256":"f435b0e9a8db79db61349e4dbe0a920b3871b503db8a13c13c477021f86fa826"}}