{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HFKMXRQ7CHB54LGTYVXK2CVFIM","short_pith_number":"pith:HFKMXRQ7","canonical_record":{"source":{"id":"1808.08631","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-26T22:06:22Z","cross_cats_sorted":[],"title_canon_sha256":"cb2c162f46821d2b4583aa9ce3c13a9d6d8b373af20e523cf0dbda7581b62d06","abstract_canon_sha256":"b3cc1f7395c24a419f8a551a8753056981392443ee1ef05b4361490fd94f0440"},"schema_version":"1.0"},"canonical_sha256":"3954cbc61f11c3de2cd3c56ead0aa5432e102a447d3de8b98d2ab0915729f6bc","source":{"kind":"arxiv","id":"1808.08631","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08631","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08631v1","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08631","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"HFKMXRQ7CHB5","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HFKMXRQ7CHB54LGT","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HFKMXRQ7","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HFKMXRQ7CHB54LGTYVXK2CVFIM","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08631","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-26T22:06:22Z","cross_cats_sorted":[],"title_canon_sha256":"cb2c162f46821d2b4583aa9ce3c13a9d6d8b373af20e523cf0dbda7581b62d06","abstract_canon_sha256":"b3cc1f7395c24a419f8a551a8753056981392443ee1ef05b4361490fd94f0440"},"schema_version":"1.0"},"canonical_sha256":"3954cbc61f11c3de2cd3c56ead0aa5432e102a447d3de8b98d2ab0915729f6bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:59.610379Z","signature_b64":"Gsg/UOa/NRl1UKkodi9Q6Sic8QeOT+Et2vtNzFaBwlSERyehCFX0nk18ClYChmhiL+RgVu14CoyHBceuamuhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3954cbc61f11c3de2cd3c56ead0aa5432e102a447d3de8b98d2ab0915729f6bc","last_reissued_at":"2026-05-17T23:47:59.609864Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:59.609864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08631","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":"2026-05-17T23:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVdv5Mr7gUAqE5c6/kLuaNSOUbf1X/VpeHL/WttYrfSbWeUZrVwB9+kmjxGKSK69yKzBveMBX78OT+M/fKZVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:29:41.688013Z"},"content_sha256":"a90d27754e73f4ad9690daf464a3277361180633ceb268b2593c770e3f393da0","schema_version":"1.0","event_id":"sha256:a90d27754e73f4ad9690daf464a3277361180633ceb268b2593c770e3f393da0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HFKMXRQ7CHB54LGTYVXK2CVFIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational backreaction on a cosmic string: Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Barry Wardell, David F. Chernoff, \\'Eanna \\'E. Flanagan","submitted_at":"2018-08-26T22:06:22Z","abstract_excerpt":"We develop a method for computing the linearized gravitational backreaction for Nambu-Goto strings using a fully covariant formalism. We work with equations of motion expressed in terms of a higher dimensional analog of the geodesic equation subject to self-generated forcing terms. The approach allows arbitrary spacetime and worldsheet gauge choices for the background and perturbation.\n  The perturbed spacetime metric may be expressed as an integral over a distributional stress-energy tensor supported on the string worldsheet. By formally integrating out the distribution, this quantity may be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08631","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":"2026-05-17T23:47:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZOSBjDqEsgirNpBELcRFq/kfK4noAIdUs3pHf1kmEhOO6FydfuoYWR14fRf2V36qftyZSATN3gN6CfF4tw2YAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:29:41.688462Z"},"content_sha256":"8581dba590ae37f95b927189a8aece503fc4758e3f660ea91e84df4c57594f25","schema_version":"1.0","event_id":"sha256:8581dba590ae37f95b927189a8aece503fc4758e3f660ea91e84df4c57594f25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/bundle.json","state_url":"https://pith.science/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/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":"2026-08-19T10:29:41Z","links":{"resolver":"https://pith.science/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM","bundle":"https://pith.science/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/bundle.json","state":"https://pith.science/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HFKMXRQ7CHB54LGTYVXK2CVFIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HFKMXRQ7CHB54LGTYVXK2CVFIM","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":"b3cc1f7395c24a419f8a551a8753056981392443ee1ef05b4361490fd94f0440","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-26T22:06:22Z","title_canon_sha256":"cb2c162f46821d2b4583aa9ce3c13a9d6d8b373af20e523cf0dbda7581b62d06"},"schema_version":"1.0","source":{"id":"1808.08631","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08631","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08631v1","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08631","created_at":"2026-05-17T23:47:59Z"},{"alias_kind":"pith_short_12","alias_value":"HFKMXRQ7CHB5","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HFKMXRQ7CHB54LGT","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HFKMXRQ7","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:8581dba590ae37f95b927189a8aece503fc4758e3f660ea91e84df4c57594f25","target":"graph","created_at":"2026-05-17T23:47:59Z","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 develop a method for computing the linearized gravitational backreaction for Nambu-Goto strings using a fully covariant formalism. We work with equations of motion expressed in terms of a higher dimensional analog of the geodesic equation subject to self-generated forcing terms. The approach allows arbitrary spacetime and worldsheet gauge choices for the background and perturbation.\n  The perturbed spacetime metric may be expressed as an integral over a distributional stress-energy tensor supported on the string worldsheet. By formally integrating out the distribution, this quantity may be ","authors_text":"Barry Wardell, David F. Chernoff, \\'Eanna \\'E. Flanagan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-26T22:06:22Z","title":"Gravitational backreaction on a cosmic string: Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08631","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:a90d27754e73f4ad9690daf464a3277361180633ceb268b2593c770e3f393da0","target":"record","created_at":"2026-05-17T23:47:59Z","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":"b3cc1f7395c24a419f8a551a8753056981392443ee1ef05b4361490fd94f0440","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-08-26T22:06:22Z","title_canon_sha256":"cb2c162f46821d2b4583aa9ce3c13a9d6d8b373af20e523cf0dbda7581b62d06"},"schema_version":"1.0","source":{"id":"1808.08631","kind":"arxiv","version":1}},"canonical_sha256":"3954cbc61f11c3de2cd3c56ead0aa5432e102a447d3de8b98d2ab0915729f6bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3954cbc61f11c3de2cd3c56ead0aa5432e102a447d3de8b98d2ab0915729f6bc","first_computed_at":"2026-05-17T23:47:59.609864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:59.609864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gsg/UOa/NRl1UKkodi9Q6Sic8QeOT+Et2vtNzFaBwlSERyehCFX0nk18ClYChmhiL+RgVu14CoyHBceuamuhAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:59.610379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08631","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a90d27754e73f4ad9690daf464a3277361180633ceb268b2593c770e3f393da0","sha256:8581dba590ae37f95b927189a8aece503fc4758e3f660ea91e84df4c57594f25"],"state_sha256":"dda1ce1052f42f50d8fc9a3d723cf0899504facb2695858458c1c948e99f8849"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hytFspmTendgCpGrxsQAlvNVsIB8KY062m2DoR/zSoqh8T3HAcMz5awkHvs8+FReZgpkNJt1B8BC4N2c0EVmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T10:29:41.692285Z","bundle_sha256":"027f6b4cd80aa0c0f960689bdd9112cf2029e0519e00c7fa132e5a22a9ec6b6f"}}