{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:GHXG2C4P2GE5TCGCBOCZVFMYY2","short_pith_number":"pith:GHXG2C4P","canonical_record":{"source":{"id":"hep-ph/0003018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-03-03T23:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"d16c848ed64fee1892df6229f95de7f08b8f9710cd50db75c36ffd89377464ca","abstract_canon_sha256":"f452075e162a74c02bde8ab243d0dbdc37c4ef6352589133b4e068b6a67f4478"},"schema_version":"1.0"},"canonical_sha256":"31ee6d0b8fd189d988c20b859a9598c680cf600981cdb6d0c661df46269e0239","source":{"kind":"arxiv","id":"hep-ph/0003018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0003018","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0003018v1","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0003018","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"GHXG2C4P2GE5","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_16","alias_value":"GHXG2C4P2GE5TCGC","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_8","alias_value":"GHXG2C4P","created_at":"2026-07-04T16:20:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:GHXG2C4P2GE5TCGCBOCZVFMYY2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0003018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-03-03T23:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"d16c848ed64fee1892df6229f95de7f08b8f9710cd50db75c36ffd89377464ca","abstract_canon_sha256":"f452075e162a74c02bde8ab243d0dbdc37c4ef6352589133b4e068b6a67f4478"},"schema_version":"1.0"},"canonical_sha256":"31ee6d0b8fd189d988c20b859a9598c680cf600981cdb6d0c661df46269e0239","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:03.316310Z","signature_b64":"OYV0SHdoDW7ROIXpnknlJTqWkX25puYfEbCyPznQLA5xRiAzW7SOgNxamkKdk+EdI0jT7LTzrwdqszVmpCtqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31ee6d0b8fd189d988c20b859a9598c680cf600981cdb6d0c661df46269e0239","last_reissued_at":"2026-07-04T16:20:03.315905Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:03.315905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0003018","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":"2026-07-04T16:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iNvRhy9VrKA2nEwWP5BQUdzASTW/7tdPxfFbHhJzVdEAKuyev/zFzdUMwOekG/VIraalD0bN3cNjGtVNdBftDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T15:44:55.537573Z"},"content_sha256":"6eea2ae5544038c3aa88c19395380eb9d777fbb2851b237ab67b67891c6976ce","schema_version":"1.0","event_id":"sha256:6eea2ae5544038c3aa88c19395380eb9d777fbb2851b237ab67b67891c6976ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:GHXG2C4P2GE5TCGCBOCZVFMYY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Theory of Fermionic Preheating","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Lev Kofman (CITA), Patrick B. Greene (Toronto U.)","submitted_at":"2000-03-03T23:49:33Z","abstract_excerpt":"In inflationary cosmology, the particles constituting the Universe are created after inflation due to their interaction with moving inflaton field(s) in the process of preheating. In the fermionic sector, the leading channel is out-of equilibrium particle production in the non-perturbative regime of parametric excitation, which respects Pauli blocking but differs significantly from the perturbative expectation. We develop theory of fermionic preheating coupling to the inflaton, without and with expansion of the universe, for light and massive fermions, to calculate analytically the occupation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0003018","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0003018/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":"2026-07-04T16:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AiApTwKkWGJUIjctq0P/cVityfd+RcX4PTYVxR+oaGyB+Y7+oxtmWg/xkd1kmqHDlLguVYmFMqVd7K9QndH3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T15:44:55.538071Z"},"content_sha256":"2c7b7da95dd282a54cf103d62f3e40ee0be0f977a56b7d4f95ff095fd3afc750","schema_version":"1.0","event_id":"sha256:2c7b7da95dd282a54cf103d62f3e40ee0be0f977a56b7d4f95ff095fd3afc750"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/bundle.json","state_url":"https://pith.science/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/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":"2026-08-02T15:44:55Z","links":{"resolver":"https://pith.science/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2","bundle":"https://pith.science/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/bundle.json","state":"https://pith.science/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHXG2C4P2GE5TCGCBOCZVFMYY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:GHXG2C4P2GE5TCGCBOCZVFMYY2","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":"f452075e162a74c02bde8ab243d0dbdc37c4ef6352589133b4e068b6a67f4478","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-03-03T23:49:33Z","title_canon_sha256":"d16c848ed64fee1892df6229f95de7f08b8f9710cd50db75c36ffd89377464ca"},"schema_version":"1.0","source":{"id":"hep-ph/0003018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0003018","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0003018v1","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0003018","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"GHXG2C4P2GE5","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_16","alias_value":"GHXG2C4P2GE5TCGC","created_at":"2026-07-04T16:20:03Z"},{"alias_kind":"pith_short_8","alias_value":"GHXG2C4P","created_at":"2026-07-04T16:20:03Z"}],"graph_snapshots":[{"event_id":"sha256:2c7b7da95dd282a54cf103d62f3e40ee0be0f977a56b7d4f95ff095fd3afc750","target":"graph","created_at":"2026-07-04T16:20:03Z","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/hep-ph/0003018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In inflationary cosmology, the particles constituting the Universe are created after inflation due to their interaction with moving inflaton field(s) in the process of preheating. In the fermionic sector, the leading channel is out-of equilibrium particle production in the non-perturbative regime of parametric excitation, which respects Pauli blocking but differs significantly from the perturbative expectation. We develop theory of fermionic preheating coupling to the inflaton, without and with expansion of the universe, for light and massive fermions, to calculate analytically the occupation ","authors_text":"Lev Kofman (CITA), Patrick B. Greene (Toronto U.)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-03-03T23:49:33Z","title":"On the Theory of Fermionic Preheating"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0003018","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":"sha256:6eea2ae5544038c3aa88c19395380eb9d777fbb2851b237ab67b67891c6976ce","target":"record","created_at":"2026-07-04T16:20:03Z","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":"f452075e162a74c02bde8ab243d0dbdc37c4ef6352589133b4e068b6a67f4478","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-03-03T23:49:33Z","title_canon_sha256":"d16c848ed64fee1892df6229f95de7f08b8f9710cd50db75c36ffd89377464ca"},"schema_version":"1.0","source":{"id":"hep-ph/0003018","kind":"arxiv","version":1}},"canonical_sha256":"31ee6d0b8fd189d988c20b859a9598c680cf600981cdb6d0c661df46269e0239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31ee6d0b8fd189d988c20b859a9598c680cf600981cdb6d0c661df46269e0239","first_computed_at":"2026-07-04T16:20:03.315905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:03.315905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OYV0SHdoDW7ROIXpnknlJTqWkX25puYfEbCyPznQLA5xRiAzW7SOgNxamkKdk+EdI0jT7LTzrwdqszVmpCtqBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:03.316310Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0003018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eea2ae5544038c3aa88c19395380eb9d777fbb2851b237ab67b67891c6976ce","sha256:2c7b7da95dd282a54cf103d62f3e40ee0be0f977a56b7d4f95ff095fd3afc750"],"state_sha256":"e3dd598356475a040f92e4ff1fd0de856f95bbc04be21b41aaec8b065a1d5669"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyDGq2beIinH2Vi2ssuuWg0Safigs60d5wzrp81jlwKhZqKzx+yLwfv9oGEvToZJP9KxKdhV9AcSSdTI183VBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T15:44:55.541672Z","bundle_sha256":"8ed431eb01b70541a81378130c4a13bdb403045d6e5f01da55c69692fc65dd04"}}