{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IDRAOHYK5QP2Y23UUUDA7R2MJS","short_pith_number":"pith:IDRAOHYK","canonical_record":{"source":{"id":"1807.11726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T09:49:01Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"8e567965946c0c9d705c7e8f88548fd63a833fc096a4a44f6aa8a05159f92a72","abstract_canon_sha256":"8a943022c821a030a456e6fe0f82fca111699130c17957011afd152bbff8326f"},"schema_version":"1.0"},"canonical_sha256":"40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886","source":{"kind":"arxiv","id":"1807.11726","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11726","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11726v2","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11726","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"IDRAOHYK5QP2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"IDRAOHYK5QP2Y23U","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"IDRAOHYK","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IDRAOHYK5QP2Y23UUUDA7R2MJS","target":"record","payload":{"canonical_record":{"source":{"id":"1807.11726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T09:49:01Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"8e567965946c0c9d705c7e8f88548fd63a833fc096a4a44f6aa8a05159f92a72","abstract_canon_sha256":"8a943022c821a030a456e6fe0f82fca111699130c17957011afd152bbff8326f"},"schema_version":"1.0"},"canonical_sha256":"40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:33.939714Z","signature_b64":"txhfVJ+bSqRsME68AjUJAT5Neu7LkJ4W0Pohocx8YxcSv/1LgTCSs4E4gXjDWMq4OPuzxnLkkKa2aZ6i+c0/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886","last_reissued_at":"2026-05-18T00:04:33.939041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:33.939041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.11726","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":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1TQbubbSWSqXoFWYqOOfRUJtp/9jJryEEpgmqYi/3UMhNDmJhEHpfo4QGQOTgr4aFCzM9OjBmig6WsLkEJdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:23:19.706645Z"},"content_sha256":"8721724215a6cb3e5818d40dbeabe0df4462a2e9353612a84d92eac8d79f6c7e","schema_version":"1.0","event_id":"sha256:8721724215a6cb3e5818d40dbeabe0df4462a2e9353612a84d92eac8d79f6c7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IDRAOHYK5QP2Y23UUUDA7R2MJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boltzmann equations for preheating","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Paul M. Saffin, Peter Millington, William T. Emond","submitted_at":"2018-07-31T09:49:01Z","abstract_excerpt":"We derive quantum Boltzmann equations for preheating by means of the density matrix formalism, which account for both the non-adiabatic particle production and the leading collisional processes between the produced particles. In so doing, we illustrate the pivotal role played by pair correlations in mediating the particle production. In addition, by numerically solving the relevant system of Boltzmann equations, we demonstrate that collisional processes lead to a suppression of the growth of the number density even at the very early stages of preheating."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11726","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":""},"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":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CsPd0vwUYW+AAW0Ri28jfBG6FMLeJz2EeokIqC80vNHHVJrZMxBlTKL7pf0CChVqXGHvuOfTrrcB49vyA4YgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:23:19.706992Z"},"content_sha256":"ac9d66db07d052bbdcb6c114a94738f2a5251a8d7a8b6f4dceb236bf55df5a07","schema_version":"1.0","event_id":"sha256:ac9d66db07d052bbdcb6c114a94738f2a5251a8d7a8b6f4dceb236bf55df5a07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/bundle.json","state_url":"https://pith.science/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/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":"2026-06-04T01:23:19Z","links":{"resolver":"https://pith.science/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS","bundle":"https://pith.science/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/bundle.json","state":"https://pith.science/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IDRAOHYK5QP2Y23UUUDA7R2MJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IDRAOHYK5QP2Y23UUUDA7R2MJS","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":"8a943022c821a030a456e6fe0f82fca111699130c17957011afd152bbff8326f","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T09:49:01Z","title_canon_sha256":"8e567965946c0c9d705c7e8f88548fd63a833fc096a4a44f6aa8a05159f92a72"},"schema_version":"1.0","source":{"id":"1807.11726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11726","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11726v2","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11726","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"IDRAOHYK5QP2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"IDRAOHYK5QP2Y23U","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"IDRAOHYK","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:ac9d66db07d052bbdcb6c114a94738f2a5251a8d7a8b6f4dceb236bf55df5a07","target":"graph","created_at":"2026-05-18T00:04:33Z","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 derive quantum Boltzmann equations for preheating by means of the density matrix formalism, which account for both the non-adiabatic particle production and the leading collisional processes between the produced particles. In so doing, we illustrate the pivotal role played by pair correlations in mediating the particle production. In addition, by numerically solving the relevant system of Boltzmann equations, we demonstrate that collisional processes lead to a suppression of the growth of the number density even at the very early stages of preheating.","authors_text":"Paul M. Saffin, Peter Millington, William T. Emond","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T09:49:01Z","title":"Boltzmann equations for preheating"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11726","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":"sha256:8721724215a6cb3e5818d40dbeabe0df4462a2e9353612a84d92eac8d79f6c7e","target":"record","created_at":"2026-05-18T00:04:33Z","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":"8a943022c821a030a456e6fe0f82fca111699130c17957011afd152bbff8326f","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-31T09:49:01Z","title_canon_sha256":"8e567965946c0c9d705c7e8f88548fd63a833fc096a4a44f6aa8a05159f92a72"},"schema_version":"1.0","source":{"id":"1807.11726","kind":"arxiv","version":2}},"canonical_sha256":"40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886","first_computed_at":"2026-05-18T00:04:33.939041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:33.939041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"txhfVJ+bSqRsME68AjUJAT5Neu7LkJ4W0Pohocx8YxcSv/1LgTCSs4E4gXjDWMq4OPuzxnLkkKa2aZ6i+c0/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:33.939714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8721724215a6cb3e5818d40dbeabe0df4462a2e9353612a84d92eac8d79f6c7e","sha256:ac9d66db07d052bbdcb6c114a94738f2a5251a8d7a8b6f4dceb236bf55df5a07"],"state_sha256":"172acd6c4b8b70fa4a4acb82a00f99aae9a3049e6855dc8a01cd215034a6181c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSFJd5kJu8/+9p0JqbM6S7YShIsZCVgwa16d36wtf86JSJNCbmojEFWh8qH1UFr3mCzzlbgafkS1BWuIsdoiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:23:19.709160Z","bundle_sha256":"932072af89cf749e3272e3ef14d5561c401d67ab538a7ca7b3a9d63eb8f1ae8e"}}