{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:JYKPYS7SRFZRYICQXQHX3UUQJH","short_pith_number":"pith:JYKPYS7S","canonical_record":{"source":{"id":"2206.14204","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-28T18:00:00Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"852c36c97c52d3cd76af457febdc3e17e277a5970ded322853aa83509eac1d12","abstract_canon_sha256":"d0537cd52adedc94e5c967076a9365624d5ac94c577b7927bd1bb60d75de8167"},"schema_version":"1.0"},"canonical_sha256":"4e14fc4bf289731c2050bc0f7dd29049c24192b67c3420c542c202ce5bc647e6","source":{"kind":"arxiv","id":"2206.14204","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14204","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14204v1","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14204","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"JYKPYS7SRFZR","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_16","alias_value":"JYKPYS7SRFZRYICQ","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_8","alias_value":"JYKPYS7S","created_at":"2026-07-05T05:07:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:JYKPYS7SRFZRYICQXQHX3UUQJH","target":"record","payload":{"canonical_record":{"source":{"id":"2206.14204","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-28T18:00:00Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"852c36c97c52d3cd76af457febdc3e17e277a5970ded322853aa83509eac1d12","abstract_canon_sha256":"d0537cd52adedc94e5c967076a9365624d5ac94c577b7927bd1bb60d75de8167"},"schema_version":"1.0"},"canonical_sha256":"4e14fc4bf289731c2050bc0f7dd29049c24192b67c3420c542c202ce5bc647e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:47.359431Z","signature_b64":"VzrACVmCW7hk6PSnGA5HaEI3OBVgy7N9dkZemh3Ao0jXMr7itxeiIs5BfTAWqbyjufErZN8+UJ91n0NlomUhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e14fc4bf289731c2050bc0f7dd29049c24192b67c3420c542c202ce5bc647e6","last_reissued_at":"2026-07-05T05:07:47.358890Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:47.358890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.14204","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":"2026-07-05T05:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6GXAwg96mY1G+NKK9duu9wqYg5CwkcxugJYx40LP2jmti3g4mkoo6i46iH2y2dCzK0IhBilPDJv9MEnF5BACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:07:59.633943Z"},"content_sha256":"466b9d59cf501af59bf8c01820adfb9b9ab1ced6029d2d3deb6e64094e45e9ff","schema_version":"1.0","event_id":"sha256:466b9d59cf501af59bf8c01820adfb9b9ab1ced6029d2d3deb6e64094e45e9ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:JYKPYS7SRFZRYICQXQHX3UUQJH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-th","authors_text":"Andrew J. Long, Siyang Ling, Soichiro Hashiba","submitted_at":"2022-06-28T18:00:00Z","abstract_excerpt":"The phenomenon of gravitational particle production can take place for quantum fields in curved spacetime. The abundance and energy spectrum of gravitationally produced particles is typically calculated by solving the field's mode equations on a time-dependent background metric. For purposes of studying dark matter production in an inflationary cosmology, these mode equations are often solved numerically, which is computationally intensive, especially for the rapidly-oscillating high-momentum modes. However, these same modes are amenable to analytic evaluation via the Exact Wentzel-Kramers-Bri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14204","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/2206.14204/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":"2026-07-05T05:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qL2eCvAlb9FjDUYaRd5ifeZoIkJM8rf6a9aO4HRD4kUAK0tk3LBWZrE5x+uUYuM8FPlBMObLhVQr0nkaUIOtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:07:59.634467Z"},"content_sha256":"41af3d471f7f0d94f328143d8cdcd9beab7339ec2355ccfd91eaaf814d56c0f9","schema_version":"1.0","event_id":"sha256:41af3d471f7f0d94f328143d8cdcd9beab7339ec2355ccfd91eaaf814d56c0f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/bundle.json","state_url":"https://pith.science/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/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":"2026-08-13T04:07:59Z","links":{"resolver":"https://pith.science/pith/JYKPYS7SRFZRYICQXQHX3UUQJH","bundle":"https://pith.science/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/bundle.json","state":"https://pith.science/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JYKPYS7SRFZRYICQXQHX3UUQJH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JYKPYS7SRFZRYICQXQHX3UUQJH","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":"d0537cd52adedc94e5c967076a9365624d5ac94c577b7927bd1bb60d75de8167","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-28T18:00:00Z","title_canon_sha256":"852c36c97c52d3cd76af457febdc3e17e277a5970ded322853aa83509eac1d12"},"schema_version":"1.0","source":{"id":"2206.14204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14204","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14204v1","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14204","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"JYKPYS7SRFZR","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_16","alias_value":"JYKPYS7SRFZRYICQ","created_at":"2026-07-05T05:07:47Z"},{"alias_kind":"pith_short_8","alias_value":"JYKPYS7S","created_at":"2026-07-05T05:07:47Z"}],"graph_snapshots":[{"event_id":"sha256:41af3d471f7f0d94f328143d8cdcd9beab7339ec2355ccfd91eaaf814d56c0f9","target":"graph","created_at":"2026-07-05T05:07:47Z","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/2206.14204/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The phenomenon of gravitational particle production can take place for quantum fields in curved spacetime. The abundance and energy spectrum of gravitationally produced particles is typically calculated by solving the field's mode equations on a time-dependent background metric. For purposes of studying dark matter production in an inflationary cosmology, these mode equations are often solved numerically, which is computationally intensive, especially for the rapidly-oscillating high-momentum modes. However, these same modes are amenable to analytic evaluation via the Exact Wentzel-Kramers-Bri","authors_text":"Andrew J. Long, Siyang Ling, Soichiro Hashiba","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-28T18:00:00Z","title":"An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14204","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":"sha256:466b9d59cf501af59bf8c01820adfb9b9ab1ced6029d2d3deb6e64094e45e9ff","target":"record","created_at":"2026-07-05T05:07:47Z","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":"d0537cd52adedc94e5c967076a9365624d5ac94c577b7927bd1bb60d75de8167","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-06-28T18:00:00Z","title_canon_sha256":"852c36c97c52d3cd76af457febdc3e17e277a5970ded322853aa83509eac1d12"},"schema_version":"1.0","source":{"id":"2206.14204","kind":"arxiv","version":1}},"canonical_sha256":"4e14fc4bf289731c2050bc0f7dd29049c24192b67c3420c542c202ce5bc647e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e14fc4bf289731c2050bc0f7dd29049c24192b67c3420c542c202ce5bc647e6","first_computed_at":"2026-07-05T05:07:47.358890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:47.358890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VzrACVmCW7hk6PSnGA5HaEI3OBVgy7N9dkZemh3Ao0jXMr7itxeiIs5BfTAWqbyjufErZN8+UJ91n0NlomUhDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:47.359431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.14204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:466b9d59cf501af59bf8c01820adfb9b9ab1ced6029d2d3deb6e64094e45e9ff","sha256:41af3d471f7f0d94f328143d8cdcd9beab7339ec2355ccfd91eaaf814d56c0f9"],"state_sha256":"0bd8912f8d79066bb3635f218fbf455dc979faad0c77b9c2b503c81ecb078dfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wyncKDZaM3pYbWk4/HDCdABYqFcpZLc7kNVt7VM42s8Oo5d79nDWKWvey+d3WRshbsKgGmOtPL7XGtU3udVCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T04:07:59.640061Z","bundle_sha256":"a67a524a26e7c0600dc955fde1e8be69218a23b145bcf18855daa9ce4c229702"}}