{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WDVEXMODHUCRU4UNFN53CXDYM2","short_pith_number":"pith:WDVEXMOD","canonical_record":{"source":{"id":"2103.01985","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-02T19:10:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"8076a9f6f29a5d179782ee76e62c9bcb32588d9939dbb327f1d2e8e41101666c","abstract_canon_sha256":"8834e17f03b6daae6e9953e20b2cddcfd79000c50b38b9b8d679a9799e5a0a48"},"schema_version":"1.0"},"canonical_sha256":"b0ea4bb1c33d051a728d2b7bb15c7866a27cc98e172b52ce80a4279381b3eeb6","source":{"kind":"arxiv","id":"2103.01985","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.01985","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"2103.01985v2","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.01985","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"WDVEXMODHUCR","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_16","alias_value":"WDVEXMODHUCRU4UN","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_8","alias_value":"WDVEXMOD","created_at":"2026-07-05T03:45:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WDVEXMODHUCRU4UNFN53CXDYM2","target":"record","payload":{"canonical_record":{"source":{"id":"2103.01985","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-02T19:10:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"8076a9f6f29a5d179782ee76e62c9bcb32588d9939dbb327f1d2e8e41101666c","abstract_canon_sha256":"8834e17f03b6daae6e9953e20b2cddcfd79000c50b38b9b8d679a9799e5a0a48"},"schema_version":"1.0"},"canonical_sha256":"b0ea4bb1c33d051a728d2b7bb15c7866a27cc98e172b52ce80a4279381b3eeb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:27.739959Z","signature_b64":"ZglXE72H0aTu9TY+NxqrxYsvtDy1KaSRi0Bfyr3k9gVbZPId0BCR8sT3fE4OgXgVnOOWx3HVkfajY6b+JtQWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0ea4bb1c33d051a728d2b7bb15c7866a27cc98e172b52ce80a4279381b3eeb6","last_reissued_at":"2026-07-05T03:45:27.739542Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:27.739542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.01985","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":"2026-07-05T03:45:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rx/bQi4H/0udXm8Vl0jbgpVb7uLwHoppRdFIgwNuDcp4nkHBfLmXIZq8oaLpOdr+nC7xnucNvgD9tSJ26mxNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-27T08:58:44.280225Z"},"content_sha256":"8ab8900118f4be72c46b2a23ccc1e721b36f47e4f038941ccc8ae8649eb0797d","schema_version":"1.0","event_id":"sha256:8ab8900118f4be72c46b2a23ccc1e721b36f47e4f038941ccc8ae8649eb0797d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WDVEXMODHUCRU4UNFN53CXDYM2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimisation based algorithm for finding the action of cosmological phase transitions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Michael Bardsley","submitted_at":"2021-03-02T19:10:26Z","abstract_excerpt":"We present the OptiBounce algorithm, a new and fast method for finding the bounce action for cosmological phase transitions. This is done by direct solution of the \"reduced\" minimisation problem proposed by Coleman, Glaser, and Martin. By using a new formula for the action, our method avoids the rescaling step used in other algorithms based on this formulation. The bounce path is represented using a pseudo-spectral Gauss-Legendre collocation scheme leading to a non-linear optimisation problem over the collocation coefficients. Efficient solution of this problem is enabled by recent advances in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.01985","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/2103.01985/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":"2026-07-05T03:45:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQ4QRKy4PT+8i3fWUhFd99M761sYwqsWh/h8bVbU7oVyhNfaMvhF4D22xGFNz5yVAdxLEt8hJKeNlZ4+c2AZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-27T08:58:44.280631Z"},"content_sha256":"03b0726276abea24e669362ad219d3bc117fe2bb14c16bb2b86712917772a6f4","schema_version":"1.0","event_id":"sha256:03b0726276abea24e669362ad219d3bc117fe2bb14c16bb2b86712917772a6f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WDVEXMODHUCRU4UNFN53CXDYM2/bundle.json","state_url":"https://pith.science/pith/WDVEXMODHUCRU4UNFN53CXDYM2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WDVEXMODHUCRU4UNFN53CXDYM2/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":"2026-07-27T08:58:44Z","links":{"resolver":"https://pith.science/pith/WDVEXMODHUCRU4UNFN53CXDYM2","bundle":"https://pith.science/pith/WDVEXMODHUCRU4UNFN53CXDYM2/bundle.json","state":"https://pith.science/pith/WDVEXMODHUCRU4UNFN53CXDYM2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WDVEXMODHUCRU4UNFN53CXDYM2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WDVEXMODHUCRU4UNFN53CXDYM2","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":"8834e17f03b6daae6e9953e20b2cddcfd79000c50b38b9b8d679a9799e5a0a48","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-02T19:10:26Z","title_canon_sha256":"8076a9f6f29a5d179782ee76e62c9bcb32588d9939dbb327f1d2e8e41101666c"},"schema_version":"1.0","source":{"id":"2103.01985","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.01985","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"2103.01985v2","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.01985","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"WDVEXMODHUCR","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_16","alias_value":"WDVEXMODHUCRU4UN","created_at":"2026-07-05T03:45:27Z"},{"alias_kind":"pith_short_8","alias_value":"WDVEXMOD","created_at":"2026-07-05T03:45:27Z"}],"graph_snapshots":[{"event_id":"sha256:03b0726276abea24e669362ad219d3bc117fe2bb14c16bb2b86712917772a6f4","target":"graph","created_at":"2026-07-05T03:45:27Z","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/2103.01985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the OptiBounce algorithm, a new and fast method for finding the bounce action for cosmological phase transitions. This is done by direct solution of the \"reduced\" minimisation problem proposed by Coleman, Glaser, and Martin. By using a new formula for the action, our method avoids the rescaling step used in other algorithms based on this formulation. The bounce path is represented using a pseudo-spectral Gauss-Legendre collocation scheme leading to a non-linear optimisation problem over the collocation coefficients. Efficient solution of this problem is enabled by recent advances in","authors_text":"Michael Bardsley","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-02T19:10:26Z","title":"Optimisation based algorithm for finding the action of cosmological phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.01985","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":"sha256:8ab8900118f4be72c46b2a23ccc1e721b36f47e4f038941ccc8ae8649eb0797d","target":"record","created_at":"2026-07-05T03:45:27Z","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":"8834e17f03b6daae6e9953e20b2cddcfd79000c50b38b9b8d679a9799e5a0a48","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-02T19:10:26Z","title_canon_sha256":"8076a9f6f29a5d179782ee76e62c9bcb32588d9939dbb327f1d2e8e41101666c"},"schema_version":"1.0","source":{"id":"2103.01985","kind":"arxiv","version":2}},"canonical_sha256":"b0ea4bb1c33d051a728d2b7bb15c7866a27cc98e172b52ce80a4279381b3eeb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0ea4bb1c33d051a728d2b7bb15c7866a27cc98e172b52ce80a4279381b3eeb6","first_computed_at":"2026-07-05T03:45:27.739542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:27.739542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZglXE72H0aTu9TY+NxqrxYsvtDy1KaSRi0Bfyr3k9gVbZPId0BCR8sT3fE4OgXgVnOOWx3HVkfajY6b+JtQWDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:27.739959Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.01985","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ab8900118f4be72c46b2a23ccc1e721b36f47e4f038941ccc8ae8649eb0797d","sha256:03b0726276abea24e669362ad219d3bc117fe2bb14c16bb2b86712917772a6f4"],"state_sha256":"59af64e7e787d38af7d43b767fda45a87536382324ab8ed6895edf50b8e9eb96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5EDo05gaMTPBy1EumxCWA20F1WeZRvZaQf8rz1PtbVzd6IxwQ2NEcGPi3CdSZ7yvjsaUNtjUgDOditocX3UWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-27T08:58:44.282858Z","bundle_sha256":"fa68f8d9fd91be1f9657958c85288e0d57c9da5f9b93279f86b46b8f62873679"}}