{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:6QTCOX4F7RZPUC25TGS3UXLPFX","short_pith_number":"pith:6QTCOX4F","canonical_record":{"source":{"id":"2104.11804","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-04-23T19:59:18Z","cross_cats_sorted":[],"title_canon_sha256":"14551aa061f9c9f275081bbc52f4e64e94fbf53bffd3d6e143d9492549596579","abstract_canon_sha256":"11d205f8b446e0e0df0713bd4268a513692b9393fdae332c7d38d69fbf49474e"},"schema_version":"1.0"},"canonical_sha256":"f426275f85fc72fa0b5d99a5ba5d6f2df530c51fd1aa5889ef01196562634b3e","source":{"kind":"arxiv","id":"2104.11804","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.11804","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"2104.11804v2","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11804","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"6QTCOX4F7RZP","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_16","alias_value":"6QTCOX4F7RZPUC25","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_8","alias_value":"6QTCOX4F","created_at":"2026-07-05T04:00:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:6QTCOX4F7RZPUC25TGS3UXLPFX","target":"record","payload":{"canonical_record":{"source":{"id":"2104.11804","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-04-23T19:59:18Z","cross_cats_sorted":[],"title_canon_sha256":"14551aa061f9c9f275081bbc52f4e64e94fbf53bffd3d6e143d9492549596579","abstract_canon_sha256":"11d205f8b446e0e0df0713bd4268a513692b9393fdae332c7d38d69fbf49474e"},"schema_version":"1.0"},"canonical_sha256":"f426275f85fc72fa0b5d99a5ba5d6f2df530c51fd1aa5889ef01196562634b3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:00:14.416582Z","signature_b64":"Yx/5pyrdsqUZgtNfeS4QRU8jaIC0PwaK8vKs4GTf3Xq/j62wI19KCPqXSvxiEFGr6vSYu+cEbl0A6fd6ncasAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f426275f85fc72fa0b5d99a5ba5d6f2df530c51fd1aa5889ef01196562634b3e","last_reissued_at":"2026-07-05T04:00:14.416014Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:00:14.416014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.11804","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":"2026-07-05T04:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R9yAegiEL7jteBaxx0tazUyCRs10wUeNlqIRci+vBAvY5vMZWC4zETtq0FjdnqssdAIRc8/uEUevF0YUXrjwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T02:40:04.536555Z"},"content_sha256":"c4280917fe0ee663f7e4f94c4083f968b957f0fbd08180cbaa6abfce38ce344e","schema_version":"1.0","event_id":"sha256:c4280917fe0ee663f7e4f94c4083f968b957f0fbd08180cbaa6abfce38ce344e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:6QTCOX4F7RZPUC25TGS3UXLPFX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andreas Ekstedt","submitted_at":"2021-04-23T19:59:18Z","abstract_excerpt":"In this paper I discuss how to consistently incorporate higher-order corrections to the bubble-nucleation rate at finite temperature. Doing so I examine the merits of different approaches, with the goal of reducing uncertainties for gravitational-wave calculations. To be specific, the region of applicability and accuracy of the derivative expansion is discussed. The derivative expansion is then compared to a numerical implementation of the Gelfand-Yaglom theorem. Both methods are applied to popular first-order phase transition models, like a loop-induced barrier and a SM-EFT tree-level barrier"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11804","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/2104.11804/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":"2026-07-05T04:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jSBj+uaU6yyJqLyJMAuaWvPXTE/5/8y2LQ4n/wrqmbbgJG20KPqIEQEq7HCLkjw9zahVi2xvnfULw7tFH0RUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T02:40:04.536919Z"},"content_sha256":"f4e931743eaee2074538ebba0bc806da486d389c37ce4244e9712bd4b6c1f4c6","schema_version":"1.0","event_id":"sha256:f4e931743eaee2074538ebba0bc806da486d389c37ce4244e9712bd4b6c1f4c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/bundle.json","state_url":"https://pith.science/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/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":"2026-07-10T02:40:04Z","links":{"resolver":"https://pith.science/pith/6QTCOX4F7RZPUC25TGS3UXLPFX","bundle":"https://pith.science/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/bundle.json","state":"https://pith.science/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QTCOX4F7RZPUC25TGS3UXLPFX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6QTCOX4F7RZPUC25TGS3UXLPFX","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":"11d205f8b446e0e0df0713bd4268a513692b9393fdae332c7d38d69fbf49474e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-04-23T19:59:18Z","title_canon_sha256":"14551aa061f9c9f275081bbc52f4e64e94fbf53bffd3d6e143d9492549596579"},"schema_version":"1.0","source":{"id":"2104.11804","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.11804","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"2104.11804v2","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11804","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"6QTCOX4F7RZP","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_16","alias_value":"6QTCOX4F7RZPUC25","created_at":"2026-07-05T04:00:14Z"},{"alias_kind":"pith_short_8","alias_value":"6QTCOX4F","created_at":"2026-07-05T04:00:14Z"}],"graph_snapshots":[{"event_id":"sha256:f4e931743eaee2074538ebba0bc806da486d389c37ce4244e9712bd4b6c1f4c6","target":"graph","created_at":"2026-07-05T04:00:14Z","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/2104.11804/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper I discuss how to consistently incorporate higher-order corrections to the bubble-nucleation rate at finite temperature. Doing so I examine the merits of different approaches, with the goal of reducing uncertainties for gravitational-wave calculations. To be specific, the region of applicability and accuracy of the derivative expansion is discussed. The derivative expansion is then compared to a numerical implementation of the Gelfand-Yaglom theorem. Both methods are applied to popular first-order phase transition models, like a loop-induced barrier and a SM-EFT tree-level barrier","authors_text":"Andreas Ekstedt","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-04-23T19:59:18Z","title":"Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11804","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:c4280917fe0ee663f7e4f94c4083f968b957f0fbd08180cbaa6abfce38ce344e","target":"record","created_at":"2026-07-05T04:00:14Z","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":"11d205f8b446e0e0df0713bd4268a513692b9393fdae332c7d38d69fbf49474e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-04-23T19:59:18Z","title_canon_sha256":"14551aa061f9c9f275081bbc52f4e64e94fbf53bffd3d6e143d9492549596579"},"schema_version":"1.0","source":{"id":"2104.11804","kind":"arxiv","version":2}},"canonical_sha256":"f426275f85fc72fa0b5d99a5ba5d6f2df530c51fd1aa5889ef01196562634b3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f426275f85fc72fa0b5d99a5ba5d6f2df530c51fd1aa5889ef01196562634b3e","first_computed_at":"2026-07-05T04:00:14.416014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:00:14.416014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yx/5pyrdsqUZgtNfeS4QRU8jaIC0PwaK8vKs4GTf3Xq/j62wI19KCPqXSvxiEFGr6vSYu+cEbl0A6fd6ncasAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:00:14.416582Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.11804","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4280917fe0ee663f7e4f94c4083f968b957f0fbd08180cbaa6abfce38ce344e","sha256:f4e931743eaee2074538ebba0bc806da486d389c37ce4244e9712bd4b6c1f4c6"],"state_sha256":"81eb87a54478a36e01e137ff79e46cbb89eaff8ad7052db9bf525646bc64545a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nigdt3nyZT4Dl7Cx5UAn6pu3SBOrFoiyUNwncxH1Ll0XWh21ttcjT/w74+n0zQvAAlxFrrS093lJWu4lzMMxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T02:40:04.539157Z","bundle_sha256":"b57486f5ef1971eb342e126357b83b03c71782f955403fec4de361721f310657"}}