{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CSFXA7HUQV3X7D4BS3VJDAK46S","short_pith_number":"pith:CSFXA7HU","canonical_record":{"source":{"id":"1504.02784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-10T20:04:22Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"23f81d990f0c8c2f0cc4420484acd0638da11da307484051d5b95a38e687e16f","abstract_canon_sha256":"fae5ebbc204fa5aa33f073a9df4b88253ab8c22ea9ec7ef523d516bc9ca4a1a2"},"schema_version":"1.0"},"canonical_sha256":"148b707cf485777f8f8196ea91815cf484f3dcb9313a5aa72c9a7009b19f7b41","source":{"kind":"arxiv","id":"1504.02784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02784","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02784v1","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02784","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"CSFXA7HUQV3X","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CSFXA7HUQV3X7D4B","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CSFXA7HU","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CSFXA7HUQV3X7D4BS3VJDAK46S","target":"record","payload":{"canonical_record":{"source":{"id":"1504.02784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-10T20:04:22Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"23f81d990f0c8c2f0cc4420484acd0638da11da307484051d5b95a38e687e16f","abstract_canon_sha256":"fae5ebbc204fa5aa33f073a9df4b88253ab8c22ea9ec7ef523d516bc9ca4a1a2"},"schema_version":"1.0"},"canonical_sha256":"148b707cf485777f8f8196ea91815cf484f3dcb9313a5aa72c9a7009b19f7b41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:22.245389Z","signature_b64":"NPv4OzBhDJH+AZxSf9Pp1l7GZ/YjfAmFjbNfY+A8rn4x7nFz5u4aeOTlK5TAzIcB3PKOnt/hVfzNsNAM5r1CDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"148b707cf485777f8f8196ea91815cf484f3dcb9313a5aa72c9a7009b19f7b41","last_reissued_at":"2026-05-18T01:02:22.244694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:22.244694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.02784","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":"2026-05-18T01:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A54gYDUJBoo0ILxeYn48JS0+XGvYE5PZe9zuTiVTaSoQUJHedf2J2HrKATNlWAogpRVC7UgOqLhIDRZXXbqLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:39:38.643013Z"},"content_sha256":"d49f78bc106eb03e7c778df42879663a9bed1b1d4e0dc7d6c7817447cea53b22","schema_version":"1.0","event_id":"sha256:d49f78bc106eb03e7c778df42879663a9bed1b1d4e0dc7d6c7817447cea53b22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CSFXA7HUQV3X7D4BS3VJDAK46S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trajectories with suppressed tensor-to-scalar ratio in Aligned Natural Inflation","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":"Caner Unal, Marco Peloso","submitted_at":"2015-04-10T20:04:22Z","abstract_excerpt":"In Aligned Natural Inflation, an alignment between different potential terms produces an inflaton excursion greater than the axion scales in the potential. We show that, starting from a general potential of two axions with two aligned potential terms, the effective theory for the resulting light direction is characterized by four parameters: an effective potential scale, an effective axion constant, and two extra parameters (related to ratios of the axion scales and the potential scales in the $2-$field theory). For all choices of these extra parameters, the model can support inflation along v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02784","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":"2026-05-18T01:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LxZRHxmBGrGHC2ArGI3ZWOMTXzFTCzOmx0tyeKE1PLvFuLVJVwpkXPNdt0YvSxpj8UKDtuD/y8OxCBXqRk2TDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:39:38.643636Z"},"content_sha256":"a6dfa25e5c2e9e6ab506736ed45a77978d3ee2a3f2a1927107b699b8ae1ce5bf","schema_version":"1.0","event_id":"sha256:a6dfa25e5c2e9e6ab506736ed45a77978d3ee2a3f2a1927107b699b8ae1ce5bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/bundle.json","state_url":"https://pith.science/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/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":"2026-05-27T17:39:38Z","links":{"resolver":"https://pith.science/pith/CSFXA7HUQV3X7D4BS3VJDAK46S","bundle":"https://pith.science/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/bundle.json","state":"https://pith.science/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CSFXA7HUQV3X7D4BS3VJDAK46S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CSFXA7HUQV3X7D4BS3VJDAK46S","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":"fae5ebbc204fa5aa33f073a9df4b88253ab8c22ea9ec7ef523d516bc9ca4a1a2","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":"2015-04-10T20:04:22Z","title_canon_sha256":"23f81d990f0c8c2f0cc4420484acd0638da11da307484051d5b95a38e687e16f"},"schema_version":"1.0","source":{"id":"1504.02784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02784","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02784v1","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02784","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"CSFXA7HUQV3X","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CSFXA7HUQV3X7D4B","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CSFXA7HU","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:a6dfa25e5c2e9e6ab506736ed45a77978d3ee2a3f2a1927107b699b8ae1ce5bf","target":"graph","created_at":"2026-05-18T01:02:22Z","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 Aligned Natural Inflation, an alignment between different potential terms produces an inflaton excursion greater than the axion scales in the potential. We show that, starting from a general potential of two axions with two aligned potential terms, the effective theory for the resulting light direction is characterized by four parameters: an effective potential scale, an effective axion constant, and two extra parameters (related to ratios of the axion scales and the potential scales in the $2-$field theory). For all choices of these extra parameters, the model can support inflation along v","authors_text":"Caner Unal, Marco Peloso","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":"2015-04-10T20:04:22Z","title":"Trajectories with suppressed tensor-to-scalar ratio in Aligned Natural Inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02784","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:d49f78bc106eb03e7c778df42879663a9bed1b1d4e0dc7d6c7817447cea53b22","target":"record","created_at":"2026-05-18T01:02:22Z","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":"fae5ebbc204fa5aa33f073a9df4b88253ab8c22ea9ec7ef523d516bc9ca4a1a2","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":"2015-04-10T20:04:22Z","title_canon_sha256":"23f81d990f0c8c2f0cc4420484acd0638da11da307484051d5b95a38e687e16f"},"schema_version":"1.0","source":{"id":"1504.02784","kind":"arxiv","version":1}},"canonical_sha256":"148b707cf485777f8f8196ea91815cf484f3dcb9313a5aa72c9a7009b19f7b41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"148b707cf485777f8f8196ea91815cf484f3dcb9313a5aa72c9a7009b19f7b41","first_computed_at":"2026-05-18T01:02:22.244694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:22.244694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NPv4OzBhDJH+AZxSf9Pp1l7GZ/YjfAmFjbNfY+A8rn4x7nFz5u4aeOTlK5TAzIcB3PKOnt/hVfzNsNAM5r1CDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:22.245389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d49f78bc106eb03e7c778df42879663a9bed1b1d4e0dc7d6c7817447cea53b22","sha256:a6dfa25e5c2e9e6ab506736ed45a77978d3ee2a3f2a1927107b699b8ae1ce5bf"],"state_sha256":"c95d618d22d492acb656946455095ae5b4346c472c0dd83808a9bcf18ff81980"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+dyMRzLSMos/Zku0KnV/8kr5EsMqFovQNYIwTaB3OUNPiTur656ff5D+h2cbxIOEZEQjRbf3OoBogMj8qNleDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:39:38.646548Z","bundle_sha256":"28e7a80285d1340d19ae475506b63b476565b570d42c7840c3379bdd0e9745cb"}}