{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3CATUL7CJCFZU3AEQVLW6HNV3H","short_pith_number":"pith:3CATUL7C","canonical_record":{"source":{"id":"1006.2159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-10T21:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"203c23d9d36e4f6fa65f59a73be48bcb2e3854d2307ba58d5e4668bc8b871cf5","abstract_canon_sha256":"dd20c3864efc06b24ad016f51c660a6fe674e1ab330b97ba696194f0905b53ed"},"schema_version":"1.0"},"canonical_sha256":"d8813a2fe2488b9a6c0485576f1db5d9cf92e52d9d22a04ab109c022e384adce","source":{"kind":"arxiv","id":"1006.2159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2159","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2159v1","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2159","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"3CATUL7CJCFZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3CATUL7CJCFZU3AE","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3CATUL7C","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3CATUL7CJCFZU3AEQVLW6HNV3H","target":"record","payload":{"canonical_record":{"source":{"id":"1006.2159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-10T21:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"203c23d9d36e4f6fa65f59a73be48bcb2e3854d2307ba58d5e4668bc8b871cf5","abstract_canon_sha256":"dd20c3864efc06b24ad016f51c660a6fe674e1ab330b97ba696194f0905b53ed"},"schema_version":"1.0"},"canonical_sha256":"d8813a2fe2488b9a6c0485576f1db5d9cf92e52d9d22a04ab109c022e384adce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:17.309241Z","signature_b64":"/US7B2XYrxEzSP5n2MGavO0bV6k2D01lFbJpd8X+LZXvOmWTHK8cjJzLB7DLSfTp8m4ow9djHH67LrWqaxNwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8813a2fe2488b9a6c0485576f1db5d9cf92e52d9d22a04ab109c022e384adce","last_reissued_at":"2026-05-18T02:33:17.308568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:17.308568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.2159","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":"2026-05-18T02:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+3Z00BwBZ2Z310qXLqYiBwnzX6i+hJTO2SzdNaQZY6+NxtNgZlK8574XkzhhqAybemCiUDnGSKByD7XFnD5ZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T12:19:04.550040Z"},"content_sha256":"cefdb7e72a5a8737504dc22390f56620ec9d1fec5a0861df04c0064cbc975708","schema_version":"1.0","event_id":"sha256:cefdb7e72a5a8737504dc22390f56620ec9d1fec5a0861df04c0064cbc975708"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3CATUL7CJCFZU3AEQVLW6HNV3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A large change in the predicted number of small halos due to a small amplitude oscillating inflaton potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Luiz Felippe S. Rodrigues, Reuven Opher","submitted_at":"2010-06-10T21:40:36Z","abstract_excerpt":"A smooth inflaton potential is generally assumed when calculating the primordial power spectrum, implicitly assuming that a very small oscillation in the inflaton potential creates a negligible change in the predicted halo mass function. We show that this is not true. We find that a small oscillating perturbation in the inflaton potential in the slow-roll regime can alter significantly the predicted number of small halos. A class of models derived from supergravity theories gives rise to inflaton potentials with a large number of steps and many transplanckian effects may generate oscillations "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2159","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":"2026-05-18T02:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BzKGbHFYZwVwBYdv9twYUWnQdz83VWLq1HmqSfY6BJTNm4UyqUHyl+NOwWSF7Xx3wJ+QnWgAXlbdhyhjulMCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T12:19:04.550390Z"},"content_sha256":"5f401143063f0fbca5a08fdea7312561755e0c60cdf2f9a688625c5dbffb6c16","schema_version":"1.0","event_id":"sha256:5f401143063f0fbca5a08fdea7312561755e0c60cdf2f9a688625c5dbffb6c16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/bundle.json","state_url":"https://pith.science/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/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":"2026-06-29T12:19:04Z","links":{"resolver":"https://pith.science/pith/3CATUL7CJCFZU3AEQVLW6HNV3H","bundle":"https://pith.science/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/bundle.json","state":"https://pith.science/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CATUL7CJCFZU3AEQVLW6HNV3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3CATUL7CJCFZU3AEQVLW6HNV3H","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":"dd20c3864efc06b24ad016f51c660a6fe674e1ab330b97ba696194f0905b53ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-10T21:40:36Z","title_canon_sha256":"203c23d9d36e4f6fa65f59a73be48bcb2e3854d2307ba58d5e4668bc8b871cf5"},"schema_version":"1.0","source":{"id":"1006.2159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2159","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2159v1","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2159","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"3CATUL7CJCFZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3CATUL7CJCFZU3AE","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3CATUL7C","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:5f401143063f0fbca5a08fdea7312561755e0c60cdf2f9a688625c5dbffb6c16","target":"graph","created_at":"2026-05-18T02:33:17Z","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":"A smooth inflaton potential is generally assumed when calculating the primordial power spectrum, implicitly assuming that a very small oscillation in the inflaton potential creates a negligible change in the predicted halo mass function. We show that this is not true. We find that a small oscillating perturbation in the inflaton potential in the slow-roll regime can alter significantly the predicted number of small halos. A class of models derived from supergravity theories gives rise to inflaton potentials with a large number of steps and many transplanckian effects may generate oscillations ","authors_text":"Luiz Felippe S. Rodrigues, Reuven Opher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-10T21:40:36Z","title":"A large change in the predicted number of small halos due to a small amplitude oscillating inflaton potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2159","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:cefdb7e72a5a8737504dc22390f56620ec9d1fec5a0861df04c0064cbc975708","target":"record","created_at":"2026-05-18T02:33:17Z","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":"dd20c3864efc06b24ad016f51c660a6fe674e1ab330b97ba696194f0905b53ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-10T21:40:36Z","title_canon_sha256":"203c23d9d36e4f6fa65f59a73be48bcb2e3854d2307ba58d5e4668bc8b871cf5"},"schema_version":"1.0","source":{"id":"1006.2159","kind":"arxiv","version":1}},"canonical_sha256":"d8813a2fe2488b9a6c0485576f1db5d9cf92e52d9d22a04ab109c022e384adce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8813a2fe2488b9a6c0485576f1db5d9cf92e52d9d22a04ab109c022e384adce","first_computed_at":"2026-05-18T02:33:17.308568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:17.308568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/US7B2XYrxEzSP5n2MGavO0bV6k2D01lFbJpd8X+LZXvOmWTHK8cjJzLB7DLSfTp8m4ow9djHH67LrWqaxNwDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:17.309241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cefdb7e72a5a8737504dc22390f56620ec9d1fec5a0861df04c0064cbc975708","sha256:5f401143063f0fbca5a08fdea7312561755e0c60cdf2f9a688625c5dbffb6c16"],"state_sha256":"093c6927f44caa52566a5a763206cde7830ed10d4f12ca3ac5df22823cfa8f3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tp0nYmIK13fZTVF/YWCmHT29TaNUoNW05o1xKrHuXTflkeqOrtke2/zM7s1t5FNa3J50fvWBGgfMSqgi+v23AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T12:19:04.552200Z","bundle_sha256":"49d21539a90933b40326f12d85ec39a4f6cb15418a3945862412bac776209271"}}