{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6NND5F7E2MLW35CXKZFT3JB644","short_pith_number":"pith:6NND5F7E","canonical_record":{"source":{"id":"1801.03757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-11T13:47:42Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"bf0972efcb814d423704c436ed905db7610e495e4fbc1cc6b736fbe3afd40fb7","abstract_canon_sha256":"6447a6448f2de89682d97fee825137b2645357155881456e572f4a07bacb7534"},"schema_version":"1.0"},"canonical_sha256":"f35a3e97e4d3176df457564b3da43ee73e67136f7470d43826df311ba3314b86","source":{"kind":"arxiv","id":"1801.03757","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03757","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03757v1","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03757","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"6NND5F7E2MLW","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6NND5F7E2MLW35CX","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6NND5F7E","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6NND5F7E2MLW35CXKZFT3JB644","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-11T13:47:42Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"bf0972efcb814d423704c436ed905db7610e495e4fbc1cc6b736fbe3afd40fb7","abstract_canon_sha256":"6447a6448f2de89682d97fee825137b2645357155881456e572f4a07bacb7534"},"schema_version":"1.0"},"canonical_sha256":"f35a3e97e4d3176df457564b3da43ee73e67136f7470d43826df311ba3314b86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:40.382107Z","signature_b64":"j8JA+UbOig8UaqBRYrsxoJKLSpxIAG88IgCwKp5HRUok13hZaW2yydcOMNIP989xyvYq+ShNMytLg/rCqEj7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f35a3e97e4d3176df457564b3da43ee73e67136f7470d43826df311ba3314b86","last_reissued_at":"2026-05-18T00:21:40.381396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:40.381396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03757","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":"2026-05-18T00:21:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZbUjtd7VZtG/I1fE9EiyC34Amq6scfW59j77BBG/oQet7+UqaLvJyQmsyTYycOg9Lu6AImspL1rtcCBOdtmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:52:05.537843Z"},"content_sha256":"de606636f27ed3971c344452f8a25a3ecfe5b63626a8671553e8a2f8cbf0f68a","schema_version":"1.0","event_id":"sha256:de606636f27ed3971c344452f8a25a3ecfe5b63626a8671553e8a2f8cbf0f68a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6NND5F7E2MLW35CXKZFT3JB644","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decaying Massive Particle in Matter and Radiation Dominated Eras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Iiro Vilja, Juho Lankinen","submitted_at":"2018-01-11T13:47:42Z","abstract_excerpt":"According to the standard model of cosmology, the early universe has been dominated by radiation or non-relativistic matter in several eras of its history. However, many cosmological calculations involving particle processes are commonly done using Minkowskian results for them, although, for more precise treatment, quantum field theory in curved spacetime is needed. This paper aims to fill this gap by presenting decay rates for matter and radiation dominated universes in this more precise treatment. We provide a study of the average decay rates for a process where a conformally coupled massive"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03757","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":"2026-05-18T00:21:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wciCANWl7G59u2gOnnPECENUwLuJZAm95i4xPphu3YWmWVrkGDI9yPor7/e0az/ioHPFr72zEXliGQX4lYdeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:52:05.538344Z"},"content_sha256":"632688f90ca0894b78ad9140bbda0eb2ed55bf993f56d7964f2561427c2d0e34","schema_version":"1.0","event_id":"sha256:632688f90ca0894b78ad9140bbda0eb2ed55bf993f56d7964f2561427c2d0e34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6NND5F7E2MLW35CXKZFT3JB644/bundle.json","state_url":"https://pith.science/pith/6NND5F7E2MLW35CXKZFT3JB644/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6NND5F7E2MLW35CXKZFT3JB644/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":"2026-08-15T23:52:05Z","links":{"resolver":"https://pith.science/pith/6NND5F7E2MLW35CXKZFT3JB644","bundle":"https://pith.science/pith/6NND5F7E2MLW35CXKZFT3JB644/bundle.json","state":"https://pith.science/pith/6NND5F7E2MLW35CXKZFT3JB644/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6NND5F7E2MLW35CXKZFT3JB644/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6NND5F7E2MLW35CXKZFT3JB644","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":"6447a6448f2de89682d97fee825137b2645357155881456e572f4a07bacb7534","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-11T13:47:42Z","title_canon_sha256":"bf0972efcb814d423704c436ed905db7610e495e4fbc1cc6b736fbe3afd40fb7"},"schema_version":"1.0","source":{"id":"1801.03757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03757","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03757v1","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03757","created_at":"2026-05-18T00:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"6NND5F7E2MLW","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6NND5F7E2MLW35CX","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6NND5F7E","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:632688f90ca0894b78ad9140bbda0eb2ed55bf993f56d7964f2561427c2d0e34","target":"graph","created_at":"2026-05-18T00:21:40Z","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":"According to the standard model of cosmology, the early universe has been dominated by radiation or non-relativistic matter in several eras of its history. However, many cosmological calculations involving particle processes are commonly done using Minkowskian results for them, although, for more precise treatment, quantum field theory in curved spacetime is needed. This paper aims to fill this gap by presenting decay rates for matter and radiation dominated universes in this more precise treatment. We provide a study of the average decay rates for a process where a conformally coupled massive","authors_text":"Iiro Vilja, Juho Lankinen","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-11T13:47:42Z","title":"Decaying Massive Particle in Matter and Radiation Dominated Eras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03757","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:de606636f27ed3971c344452f8a25a3ecfe5b63626a8671553e8a2f8cbf0f68a","target":"record","created_at":"2026-05-18T00:21:40Z","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":"6447a6448f2de89682d97fee825137b2645357155881456e572f4a07bacb7534","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-11T13:47:42Z","title_canon_sha256":"bf0972efcb814d423704c436ed905db7610e495e4fbc1cc6b736fbe3afd40fb7"},"schema_version":"1.0","source":{"id":"1801.03757","kind":"arxiv","version":1}},"canonical_sha256":"f35a3e97e4d3176df457564b3da43ee73e67136f7470d43826df311ba3314b86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f35a3e97e4d3176df457564b3da43ee73e67136f7470d43826df311ba3314b86","first_computed_at":"2026-05-18T00:21:40.381396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:40.381396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j8JA+UbOig8UaqBRYrsxoJKLSpxIAG88IgCwKp5HRUok13hZaW2yydcOMNIP989xyvYq+ShNMytLg/rCqEj7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:40.382107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de606636f27ed3971c344452f8a25a3ecfe5b63626a8671553e8a2f8cbf0f68a","sha256:632688f90ca0894b78ad9140bbda0eb2ed55bf993f56d7964f2561427c2d0e34"],"state_sha256":"9baa73ae5db378478e299ad00f700eebfc2f0b2e8677e1db979e8dc6decefe65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rsC3DmSQQrfeJOIV5G4GRA0QixD7ZHN3zxU0kE0afw0RDBIhjfUVhqbhOTESTnSwJw4HsXd4CkI+9lxaQY2qBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T23:52:05.543548Z","bundle_sha256":"9732a990a0edccd34521457092784c223665aee9dbe06032ee530bd3e0d183ed"}}