{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VFCO4JUK5HE5D4UUFDUFXTHN6J","short_pith_number":"pith:VFCO4JUK","canonical_record":{"source":{"id":"0906.0666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-03T09:29:33Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"46e23abb23d825eccfdb2009e589fc33ce2c88e69c17e8bb511c2d80cb093249","abstract_canon_sha256":"0b6e29852d1011a96b42dbb507560eb942be6f553f495fbb728cf1004909b44b"},"schema_version":"1.0"},"canonical_sha256":"a944ee268ae9c9d1f29428e85bccedf27f62a3810cbed1ccb16c9a068ea95519","source":{"kind":"arxiv","id":"0906.0666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0666","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0666v1","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0666","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"VFCO4JUK5HE5","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VFCO4JUK5HE5D4UU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VFCO4JUK","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VFCO4JUK5HE5D4UUFDUFXTHN6J","target":"record","payload":{"canonical_record":{"source":{"id":"0906.0666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-03T09:29:33Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"46e23abb23d825eccfdb2009e589fc33ce2c88e69c17e8bb511c2d80cb093249","abstract_canon_sha256":"0b6e29852d1011a96b42dbb507560eb942be6f553f495fbb728cf1004909b44b"},"schema_version":"1.0"},"canonical_sha256":"a944ee268ae9c9d1f29428e85bccedf27f62a3810cbed1ccb16c9a068ea95519","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:03.292889Z","signature_b64":"26Q0q6tGKQxx8fGkIdyCoH8dFKUwXzKVdb+X1LeWb1GG5DttCrlrECjJI5ppS3CSMrvTPpFyR1v6bcFHgW/pDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a944ee268ae9c9d1f29428e85bccedf27f62a3810cbed1ccb16c9a068ea95519","last_reissued_at":"2026-05-18T04:23:03.292224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:03.292224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.0666","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":"2026-05-18T04:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDJ+qXPuFUeP8i5wp83EanjDcLZsG7A3RqaIOJi5+DXjd+GkPZFEfFMz56LuDnGfGGShda6rQr5AVoY6yCzABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:38:06.700723Z"},"content_sha256":"0a11b756c0177f083eb0d96979ef68e50fddaecec8601801842204f6fe44e18a","schema_version":"1.0","event_id":"sha256:0a11b756c0177f083eb0d96979ef68e50fddaecec8601801842204f6fe44e18a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VFCO4JUK5HE5D4UUFDUFXTHN6J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"T. M. Janssen, T. Prokopec","submitted_at":"2009-06-03T09:29:33Z","abstract_excerpt":"In this paper we consider a massless scalar field, with a possible coupling $\\xi$ to the Ricci scalar in a $D$ dimensional FLRW spacetime with a constant deceleration parameter $q=\\epsilon-1$, $\\epsilon=-{\\dot{H}}/{H^2}$. Correlation functions for the Bunch-Davies vacuum of such a theory have long been known to be infrared divergent for a wide range of values of $\\epsilon$. We resolve these divergences by explicitly matching the spacetime under consideration to a spacetime without infrared divergencies. Such a procedure ensures that all correlation functions with respect to the vacuum in the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0666","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":"2026-05-18T04:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BPZw+Hy1cQo8cYJ18dabJPCD35lvmoBZuJibHW7i8C9YkX8SlCMZpVsBmHupxDjSUQStlJtOs6iTd+67+UZHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:38:06.701505Z"},"content_sha256":"6c1eff22368ca64282ba607739af3913d9969cce8ce2c419d67cd5af0e10a43d","schema_version":"1.0","event_id":"sha256:6c1eff22368ca64282ba607739af3913d9969cce8ce2c419d67cd5af0e10a43d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/bundle.json","state_url":"https://pith.science/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/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":"2026-06-06T11:38:06Z","links":{"resolver":"https://pith.science/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J","bundle":"https://pith.science/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/bundle.json","state":"https://pith.science/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFCO4JUK5HE5D4UUFDUFXTHN6J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VFCO4JUK5HE5D4UUFDUFXTHN6J","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":"0b6e29852d1011a96b42dbb507560eb942be6f553f495fbb728cf1004909b44b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-03T09:29:33Z","title_canon_sha256":"46e23abb23d825eccfdb2009e589fc33ce2c88e69c17e8bb511c2d80cb093249"},"schema_version":"1.0","source":{"id":"0906.0666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0666","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0666v1","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0666","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"VFCO4JUK5HE5","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VFCO4JUK5HE5D4UU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VFCO4JUK","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:6c1eff22368ca64282ba607739af3913d9969cce8ce2c419d67cd5af0e10a43d","target":"graph","created_at":"2026-05-18T04:23:03Z","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"},"paper":{"abstract_excerpt":"In this paper we consider a massless scalar field, with a possible coupling $\\xi$ to the Ricci scalar in a $D$ dimensional FLRW spacetime with a constant deceleration parameter $q=\\epsilon-1$, $\\epsilon=-{\\dot{H}}/{H^2}$. Correlation functions for the Bunch-Davies vacuum of such a theory have long been known to be infrared divergent for a wide range of values of $\\epsilon$. We resolve these divergences by explicitly matching the spacetime under consideration to a spacetime without infrared divergencies. Such a procedure ensures that all correlation functions with respect to the vacuum in the s","authors_text":"T. M. Janssen, T. Prokopec","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-03T09:29:33Z","title":"Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0666","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":"sha256:0a11b756c0177f083eb0d96979ef68e50fddaecec8601801842204f6fe44e18a","target":"record","created_at":"2026-05-18T04:23:03Z","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":"0b6e29852d1011a96b42dbb507560eb942be6f553f495fbb728cf1004909b44b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-03T09:29:33Z","title_canon_sha256":"46e23abb23d825eccfdb2009e589fc33ce2c88e69c17e8bb511c2d80cb093249"},"schema_version":"1.0","source":{"id":"0906.0666","kind":"arxiv","version":1}},"canonical_sha256":"a944ee268ae9c9d1f29428e85bccedf27f62a3810cbed1ccb16c9a068ea95519","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a944ee268ae9c9d1f29428e85bccedf27f62a3810cbed1ccb16c9a068ea95519","first_computed_at":"2026-05-18T04:23:03.292224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:03.292224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"26Q0q6tGKQxx8fGkIdyCoH8dFKUwXzKVdb+X1LeWb1GG5DttCrlrECjJI5ppS3CSMrvTPpFyR1v6bcFHgW/pDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:03.292889Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.0666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a11b756c0177f083eb0d96979ef68e50fddaecec8601801842204f6fe44e18a","sha256:6c1eff22368ca64282ba607739af3913d9969cce8ce2c419d67cd5af0e10a43d"],"state_sha256":"36aedea53e358a0fb1daa2c61e0506531a1684788dfa60b3b2b772b31032222b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oLpozX8/nEQzyOC1RIbIQ0UT8fCgSezBHKjW1dfksvrle+E4yYsGLgEItIpgfh61srNJ3RehWe6bABLsDnSqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T11:38:06.704581Z","bundle_sha256":"dcfbde64dc0cbf54527d8d99bd2f0123e2d3dd4d3c2ff58affbb2f9b27083aeb"}}