{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HUMI775XS55M2RVJVETBDSL2YN","short_pith_number":"pith:HUMI775X","canonical_record":{"source":{"id":"2309.03778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-07T15:27:46Z","cross_cats_sorted":[],"title_canon_sha256":"4805fc68a02c2e8b7fd09f75db0f3c0064efb7c91d488a43a3666b83a63c23ad","abstract_canon_sha256":"d1dc0818f261e40f61686956f5f150a68e0bb131e9fb53b9169bd282b97879e4"},"schema_version":"1.0"},"canonical_sha256":"3d188fffb7977acd46a9a92611c97ac34ec848e7653d10dd207a56d580a4a933","source":{"kind":"arxiv","id":"2309.03778","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.03778","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"arxiv_version","alias_value":"2309.03778v2","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.03778","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_12","alias_value":"HUMI775XS55M","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_16","alias_value":"HUMI775XS55M2RVJ","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_8","alias_value":"HUMI775X","created_at":"2026-07-05T07:44:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HUMI775XS55M2RVJVETBDSL2YN","target":"record","payload":{"canonical_record":{"source":{"id":"2309.03778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-07T15:27:46Z","cross_cats_sorted":[],"title_canon_sha256":"4805fc68a02c2e8b7fd09f75db0f3c0064efb7c91d488a43a3666b83a63c23ad","abstract_canon_sha256":"d1dc0818f261e40f61686956f5f150a68e0bb131e9fb53b9169bd282b97879e4"},"schema_version":"1.0"},"canonical_sha256":"3d188fffb7977acd46a9a92611c97ac34ec848e7653d10dd207a56d580a4a933","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:44:56.069580Z","signature_b64":"WtxTTl9wK3O453Yw8dAPDrPFEoGKaxypIjHSYxJbm845seGb9CeG8kORJQN1l7VUmIPClL33NlSucaMbNz1cAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d188fffb7977acd46a9a92611c97ac34ec848e7653d10dd207a56d580a4a933","last_reissued_at":"2026-07-05T07:44:56.069216Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:44:56.069216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.03778","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":"2026-07-05T07:44:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rilaM6Eixm2kmsr54NIRhT3rLGX2FJ/+YgpXRaP/O/3skPSg6dSH/dlygAo53RXhi9ASmuFq4VHU/Zjrh1UMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:51:02.592297Z"},"content_sha256":"2c9d51e90db5a9b3519f7a31bd3296ca76468981815605c644bfa4d6a9a3c8ba","schema_version":"1.0","event_id":"sha256:2c9d51e90db5a9b3519f7a31bd3296ca76468981815605c644bfa4d6a9a3c8ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HUMI775XS55M2RVJVETBDSL2YN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Samuel D. Upton","submitted_at":"2023-09-07T15:27:46Z","abstract_excerpt":"Gravitational self-force theory is the primary way of modelling extreme-mass-ratio inspirals (EMRIs). One difficulty that appears in second-order self-force calculations is the strong divergence at the worldline of the small object, which causes both numerical and analytical issues. Previous work [Phys. Rev. D 95, 104056 (2017); ibid. 103, 124016 (2021)] demonstrated that this could be alleviated within a class of highly regular gauges and presented the metric perturbations in these gauges in a local coordinate form. We build on this previous work by deriving expressions for the highly regular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.03778","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.03778/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:44:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5rGbZg7vehCKAlRfa6r0+G754oPsIYxP0mAsjdjMZns+KOsKTPUNPLSWE4bS+qwMX9r2GNAImtbCVk6VLY4BDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:51:02.592791Z"},"content_sha256":"55ff2ba25e80ce3920099a07767e00b7f08191ba35ca73938c0e1756cf229527","schema_version":"1.0","event_id":"sha256:55ff2ba25e80ce3920099a07767e00b7f08191ba35ca73938c0e1756cf229527"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUMI775XS55M2RVJVETBDSL2YN/bundle.json","state_url":"https://pith.science/pith/HUMI775XS55M2RVJVETBDSL2YN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUMI775XS55M2RVJVETBDSL2YN/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":"2026-08-06T07:51:02Z","links":{"resolver":"https://pith.science/pith/HUMI775XS55M2RVJVETBDSL2YN","bundle":"https://pith.science/pith/HUMI775XS55M2RVJVETBDSL2YN/bundle.json","state":"https://pith.science/pith/HUMI775XS55M2RVJVETBDSL2YN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUMI775XS55M2RVJVETBDSL2YN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HUMI775XS55M2RVJVETBDSL2YN","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":"d1dc0818f261e40f61686956f5f150a68e0bb131e9fb53b9169bd282b97879e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-07T15:27:46Z","title_canon_sha256":"4805fc68a02c2e8b7fd09f75db0f3c0064efb7c91d488a43a3666b83a63c23ad"},"schema_version":"1.0","source":{"id":"2309.03778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.03778","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"arxiv_version","alias_value":"2309.03778v2","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.03778","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_12","alias_value":"HUMI775XS55M","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_16","alias_value":"HUMI775XS55M2RVJ","created_at":"2026-07-05T07:44:56Z"},{"alias_kind":"pith_short_8","alias_value":"HUMI775X","created_at":"2026-07-05T07:44:56Z"}],"graph_snapshots":[{"event_id":"sha256:55ff2ba25e80ce3920099a07767e00b7f08191ba35ca73938c0e1756cf229527","target":"graph","created_at":"2026-07-05T07:44:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.03778/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gravitational self-force theory is the primary way of modelling extreme-mass-ratio inspirals (EMRIs). One difficulty that appears in second-order self-force calculations is the strong divergence at the worldline of the small object, which causes both numerical and analytical issues. Previous work [Phys. Rev. D 95, 104056 (2017); ibid. 103, 124016 (2021)] demonstrated that this could be alleviated within a class of highly regular gauges and presented the metric perturbations in these gauges in a local coordinate form. We build on this previous work by deriving expressions for the highly regular","authors_text":"Samuel D. Upton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-07T15:27:46Z","title":"Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.03778","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":"sha256:2c9d51e90db5a9b3519f7a31bd3296ca76468981815605c644bfa4d6a9a3c8ba","target":"record","created_at":"2026-07-05T07:44:56Z","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":"d1dc0818f261e40f61686956f5f150a68e0bb131e9fb53b9169bd282b97879e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-07T15:27:46Z","title_canon_sha256":"4805fc68a02c2e8b7fd09f75db0f3c0064efb7c91d488a43a3666b83a63c23ad"},"schema_version":"1.0","source":{"id":"2309.03778","kind":"arxiv","version":2}},"canonical_sha256":"3d188fffb7977acd46a9a92611c97ac34ec848e7653d10dd207a56d580a4a933","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d188fffb7977acd46a9a92611c97ac34ec848e7653d10dd207a56d580a4a933","first_computed_at":"2026-07-05T07:44:56.069216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:44:56.069216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WtxTTl9wK3O453Yw8dAPDrPFEoGKaxypIjHSYxJbm845seGb9CeG8kORJQN1l7VUmIPClL33NlSucaMbNz1cAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:44:56.069580Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.03778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c9d51e90db5a9b3519f7a31bd3296ca76468981815605c644bfa4d6a9a3c8ba","sha256:55ff2ba25e80ce3920099a07767e00b7f08191ba35ca73938c0e1756cf229527"],"state_sha256":"7c2860ea062f0aea58170f26df09e19d6b9cb8b22736172951fc10034b7623dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NzSLijk+Krv54jHGkLGfAkZ4J3sZHV4bBFEr5oOBA+yx9iLfwXOfh8BpUZ4hgNINtySpQ9Dtb8Gv8ObkTSFrAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T07:51:02.596651Z","bundle_sha256":"7029f04ba8a9f2fc78f1849c2890e5c5019148b32b0b2d3d6d590ff5e8333d52"}}