{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:C6HCUNJU5XX3IXDKX7QIWBVXRT","short_pith_number":"pith:C6HCUNJU","canonical_record":{"source":{"id":"1701.06473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-01-23T16:08:01Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"77329d22122f9f6e58f1f0713be647e19ce6d25ec4820625b6ac9066e3189b63","abstract_canon_sha256":"ec08fe3973ad67a44b63b3fe565fa230922d5e6ce0ee076ace5009c3b0644107"},"schema_version":"1.0"},"canonical_sha256":"178e2a3534edefb45c6abfe08b06b78cf80192b7a4bddc517d279d83ef6ac56e","source":{"kind":"arxiv","id":"1701.06473","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06473","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06473v2","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06473","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"pith_short_12","alias_value":"C6HCUNJU5XX3","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C6HCUNJU5XX3IXDK","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C6HCUNJU","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:C6HCUNJU5XX3IXDKX7QIWBVXRT","target":"record","payload":{"canonical_record":{"source":{"id":"1701.06473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-01-23T16:08:01Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"77329d22122f9f6e58f1f0713be647e19ce6d25ec4820625b6ac9066e3189b63","abstract_canon_sha256":"ec08fe3973ad67a44b63b3fe565fa230922d5e6ce0ee076ace5009c3b0644107"},"schema_version":"1.0"},"canonical_sha256":"178e2a3534edefb45c6abfe08b06b78cf80192b7a4bddc517d279d83ef6ac56e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:13.988331Z","signature_b64":"8RrmJkHPZUBE2Ho9F8YDtgbd68G2ha4hxkwlzbJpiXuDO9XWv6qUXBSOqz5l6DW3GZ3Tw3VomC0Uf5wu4rx1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"178e2a3534edefb45c6abfe08b06b78cf80192b7a4bddc517d279d83ef6ac56e","last_reissued_at":"2026-05-18T00:32:13.987727Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:13.987727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.06473","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":"2026-05-18T00:32:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5O5b0AJL/IyFJXThm8rVq4isJzXIFUlvcS5wclO+IfwL/HPyMw0G2XitGAS1ytRVh1ZHy/9m6ntHckmJYOzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:25:33.877845Z"},"content_sha256":"e41868ec37e8decf4b35ec3873124ee3350148c8ad6b6933ecf6279808fd7320","schema_version":"1.0","event_id":"sha256:e41868ec37e8decf4b35ec3873124ee3350148c8ad6b6933ecf6279808fd7320"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:C6HCUNJU5XX3IXDKX7QIWBVXRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The stochastic spectator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Christian T. Byrnes, David Wands, Jes\\'us Torrado, Robert J. Hardwick, Vincent Vennin","submitted_at":"2017-01-23T16:08:01Z","abstract_excerpt":"We study the stochastic distribution of spectator fields predicted in different slow-roll inflation backgrounds. Spectator fields have a negligible energy density during inflation but may play an important dynamical role later, even giving rise to primordial density perturbations within our observational horizon today. During de-Sitter expansion there is an equilibrium solution for the spectator field which is often used to estimate the stochastic distribution during slow-roll inflation. However slow roll only requires that the Hubble rate varies slowly compared to the Hubble time, while the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06473","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":"2026-05-18T00:32:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrkFHgmT0G3pj+ZRbyumECnuUMEcz0RRoY1WFeHaOfa1boRtD5XFMvglPihrRYcNOvYzE85BxqbjAcz7ANA7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:25:33.878529Z"},"content_sha256":"308249bcfbefc42210fef04110726aa70ebf8127f9d250daf140009e13292e6e","schema_version":"1.0","event_id":"sha256:308249bcfbefc42210fef04110726aa70ebf8127f9d250daf140009e13292e6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/bundle.json","state_url":"https://pith.science/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/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":"2026-06-04T15:25:33Z","links":{"resolver":"https://pith.science/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT","bundle":"https://pith.science/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/bundle.json","state":"https://pith.science/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C6HCUNJU5XX3IXDKX7QIWBVXRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C6HCUNJU5XX3IXDKX7QIWBVXRT","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":"ec08fe3973ad67a44b63b3fe565fa230922d5e6ce0ee076ace5009c3b0644107","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-01-23T16:08:01Z","title_canon_sha256":"77329d22122f9f6e58f1f0713be647e19ce6d25ec4820625b6ac9066e3189b63"},"schema_version":"1.0","source":{"id":"1701.06473","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06473","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06473v2","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06473","created_at":"2026-05-18T00:32:13Z"},{"alias_kind":"pith_short_12","alias_value":"C6HCUNJU5XX3","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C6HCUNJU5XX3IXDK","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C6HCUNJU","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:308249bcfbefc42210fef04110726aa70ebf8127f9d250daf140009e13292e6e","target":"graph","created_at":"2026-05-18T00:32:13Z","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 study the stochastic distribution of spectator fields predicted in different slow-roll inflation backgrounds. Spectator fields have a negligible energy density during inflation but may play an important dynamical role later, even giving rise to primordial density perturbations within our observational horizon today. During de-Sitter expansion there is an equilibrium solution for the spectator field which is often used to estimate the stochastic distribution during slow-roll inflation. However slow roll only requires that the Hubble rate varies slowly compared to the Hubble time, while the t","authors_text":"Christian T. Byrnes, David Wands, Jes\\'us Torrado, Robert J. Hardwick, Vincent Vennin","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-01-23T16:08:01Z","title":"The stochastic spectator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06473","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:e41868ec37e8decf4b35ec3873124ee3350148c8ad6b6933ecf6279808fd7320","target":"record","created_at":"2026-05-18T00:32:13Z","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":"ec08fe3973ad67a44b63b3fe565fa230922d5e6ce0ee076ace5009c3b0644107","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-01-23T16:08:01Z","title_canon_sha256":"77329d22122f9f6e58f1f0713be647e19ce6d25ec4820625b6ac9066e3189b63"},"schema_version":"1.0","source":{"id":"1701.06473","kind":"arxiv","version":2}},"canonical_sha256":"178e2a3534edefb45c6abfe08b06b78cf80192b7a4bddc517d279d83ef6ac56e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"178e2a3534edefb45c6abfe08b06b78cf80192b7a4bddc517d279d83ef6ac56e","first_computed_at":"2026-05-18T00:32:13.987727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:13.987727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8RrmJkHPZUBE2Ho9F8YDtgbd68G2ha4hxkwlzbJpiXuDO9XWv6qUXBSOqz5l6DW3GZ3Tw3VomC0Uf5wu4rx1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:13.988331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06473","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e41868ec37e8decf4b35ec3873124ee3350148c8ad6b6933ecf6279808fd7320","sha256:308249bcfbefc42210fef04110726aa70ebf8127f9d250daf140009e13292e6e"],"state_sha256":"8914bf52639730838d04de5cfedf6c7ca1988c0872257399a784037cbb44b989"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pMpAtxQLElTNDoqOCKZFZOfFEJs8khOnMbaoagfzr4WPiqyp6iUyGSEP+C8OffDvGRBLDywxKD8Xypwc8p3DDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:25:33.882226Z","bundle_sha256":"44b1927ca8d537c8b47be6aa08fec74052610049183ebb7f5803bf9148e86501"}}