{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3VSXAICFNL33LWA53LNIF7W2QS","short_pith_number":"pith:3VSXAICF","canonical_record":{"source":{"id":"1506.09172","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-06-30T17:38:09Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"ef786c28a922667cc5fca3309b4a8aae8e3d420cd0c04e9d4abbcb7474131c4b","abstract_canon_sha256":"e393cd027c02d54df4de40fcb67a164280b713bb181c2166c1ffd0a0166bf85c"},"schema_version":"1.0"},"canonical_sha256":"dd657020456af7b5d81ddada82feda84aea1fd91bd86d5b75632fb261161792a","source":{"kind":"arxiv","id":"1506.09172","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.09172","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1506.09172v3","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09172","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"3VSXAICFNL33","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3VSXAICFNL33LWA5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3VSXAICF","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3VSXAICFNL33LWA53LNIF7W2QS","target":"record","payload":{"canonical_record":{"source":{"id":"1506.09172","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-06-30T17:38:09Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"ef786c28a922667cc5fca3309b4a8aae8e3d420cd0c04e9d4abbcb7474131c4b","abstract_canon_sha256":"e393cd027c02d54df4de40fcb67a164280b713bb181c2166c1ffd0a0166bf85c"},"schema_version":"1.0"},"canonical_sha256":"dd657020456af7b5d81ddada82feda84aea1fd91bd86d5b75632fb261161792a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:32.629935Z","signature_b64":"qF6cbGLuRIef5GpuHHWQTF0sSUfKZWERAgwrrjYVXbpRhCvItbs0J+iKlPTk5oRrfRssqTTU4qbBQtdJJcIpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd657020456af7b5d81ddada82feda84aea1fd91bd86d5b75632fb261161792a","last_reissued_at":"2026-05-18T00:20:32.629434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:32.629434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.09172","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7TlhnhzY10pItTP/zRf1JEFOtLyJCLtJc6Ky+ybVaExhrFMfN0GVD7uivyeaPknYukluYFVrx6omGDWWPrZTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:28.909598Z"},"content_sha256":"4fc56a6fec6a568e15c86837533875df55244be0c1b96e94f5b9a18472930695","schema_version":"1.0","event_id":"sha256:4fc56a6fec6a568e15c86837533875df55244be0c1b96e94f5b9a18472930695"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3VSXAICFNL33LWA53LNIF7W2QS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tachyon inflation in the Large-$N$ formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Gabriel German, Josue De-Santiago, Juan Carlos Hidalgo, Nandinii Barbosa-Cendejas, Refugio Rigel Mora-Luna","submitted_at":"2015-06-30T17:38:09Z","abstract_excerpt":"We study tachyon inflation within the large-$N$ formalism, which takes a prescription for the small Hubble flow slow--roll parameter $\\epsilon_1$ as a function of the large number of $e$-folds $N$. This leads to a classification of models through their behaviour at large $N$. In addition to the perturbative $N$ class, we introduce the polynomial and exponential classes for the $\\epsilon_1$ parameter. With this formalism we reconstruct a large number of potentials used previously in the literature for Tachyon Inflation. We also obtain new families of potentials form the polynomial class. We cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09172","kind":"arxiv","version":3},"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":"2026-05-18T00:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tnqFllO/hBtoPZYIeTdhNnsRg+eVcvzT92/pzzOTQbUetKfD2zJTRe0kcr/W/bnv+AZtsTGWP4kgX4jtUNKqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:28.910162Z"},"content_sha256":"e5084b519c1b72f68f7191204d948f8fea07c1c49e443d7c761ba6722b8f8922","schema_version":"1.0","event_id":"sha256:e5084b519c1b72f68f7191204d948f8fea07c1c49e443d7c761ba6722b8f8922"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VSXAICFNL33LWA53LNIF7W2QS/bundle.json","state_url":"https://pith.science/pith/3VSXAICFNL33LWA53LNIF7W2QS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VSXAICFNL33LWA53LNIF7W2QS/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":"2026-06-11T22:56:28Z","links":{"resolver":"https://pith.science/pith/3VSXAICFNL33LWA53LNIF7W2QS","bundle":"https://pith.science/pith/3VSXAICFNL33LWA53LNIF7W2QS/bundle.json","state":"https://pith.science/pith/3VSXAICFNL33LWA53LNIF7W2QS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VSXAICFNL33LWA53LNIF7W2QS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3VSXAICFNL33LWA53LNIF7W2QS","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":"e393cd027c02d54df4de40fcb67a164280b713bb181c2166c1ffd0a0166bf85c","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-06-30T17:38:09Z","title_canon_sha256":"ef786c28a922667cc5fca3309b4a8aae8e3d420cd0c04e9d4abbcb7474131c4b"},"schema_version":"1.0","source":{"id":"1506.09172","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.09172","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1506.09172v3","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09172","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"3VSXAICFNL33","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3VSXAICFNL33LWA5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3VSXAICF","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:e5084b519c1b72f68f7191204d948f8fea07c1c49e443d7c761ba6722b8f8922","target":"graph","created_at":"2026-05-18T00:20:32Z","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 tachyon inflation within the large-$N$ formalism, which takes a prescription for the small Hubble flow slow--roll parameter $\\epsilon_1$ as a function of the large number of $e$-folds $N$. This leads to a classification of models through their behaviour at large $N$. In addition to the perturbative $N$ class, we introduce the polynomial and exponential classes for the $\\epsilon_1$ parameter. With this formalism we reconstruct a large number of potentials used previously in the literature for Tachyon Inflation. We also obtain new families of potentials form the polynomial class. We cha","authors_text":"Gabriel German, Josue De-Santiago, Juan Carlos Hidalgo, Nandinii Barbosa-Cendejas, Refugio Rigel Mora-Luna","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-06-30T17:38:09Z","title":"Tachyon inflation in the Large-$N$ formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09172","kind":"arxiv","version":3},"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":"sha256:4fc56a6fec6a568e15c86837533875df55244be0c1b96e94f5b9a18472930695","target":"record","created_at":"2026-05-18T00:20:32Z","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":"e393cd027c02d54df4de40fcb67a164280b713bb181c2166c1ffd0a0166bf85c","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-06-30T17:38:09Z","title_canon_sha256":"ef786c28a922667cc5fca3309b4a8aae8e3d420cd0c04e9d4abbcb7474131c4b"},"schema_version":"1.0","source":{"id":"1506.09172","kind":"arxiv","version":3}},"canonical_sha256":"dd657020456af7b5d81ddada82feda84aea1fd91bd86d5b75632fb261161792a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd657020456af7b5d81ddada82feda84aea1fd91bd86d5b75632fb261161792a","first_computed_at":"2026-05-18T00:20:32.629434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:32.629434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qF6cbGLuRIef5GpuHHWQTF0sSUfKZWERAgwrrjYVXbpRhCvItbs0J+iKlPTk5oRrfRssqTTU4qbBQtdJJcIpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:32.629935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.09172","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fc56a6fec6a568e15c86837533875df55244be0c1b96e94f5b9a18472930695","sha256:e5084b519c1b72f68f7191204d948f8fea07c1c49e443d7c761ba6722b8f8922"],"state_sha256":"1b3d2e347dcd2f664073e4c706fbff04feede3d5c08e2adcab57c206f54740a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tu3zlf2HTLwkMva5gGnQc13r7R3FSm2wGMlSilcrh8Kh9NqlrqusatNi/lV68IpUtNQCbiejNYYuLLJdqB+gCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:56:28.913618Z","bundle_sha256":"3c6d16b791c19491c7be4edc398067969f218b853c7dc548280ca05d4760bae7"}}