{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5Z4SHF727ANAUBBG3TORZ7JRWE","short_pith_number":"pith:5Z4SHF72","canonical_record":{"source":{"id":"2103.11463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-21T18:54:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3557409e65018f1db9d11232e24f9aa465372f64f983e9ab27c53df8923087f7","abstract_canon_sha256":"6e19618bd1da781cd57e863c612802d47cf5d40a5768338a6ac5a2a9b69208d0"},"schema_version":"1.0"},"canonical_sha256":"ee792397faf81a0a0426dcdd1cfd31b106ed95cb07eda911d638c423cad6f5f4","source":{"kind":"arxiv","id":"2103.11463","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.11463","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2103.11463v2","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.11463","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"5Z4SHF727ANA","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"5Z4SHF727ANAUBBG","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"5Z4SHF72","created_at":"2026-07-05T02:57:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5Z4SHF727ANAUBBG3TORZ7JRWE","target":"record","payload":{"canonical_record":{"source":{"id":"2103.11463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-21T18:54:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3557409e65018f1db9d11232e24f9aa465372f64f983e9ab27c53df8923087f7","abstract_canon_sha256":"6e19618bd1da781cd57e863c612802d47cf5d40a5768338a6ac5a2a9b69208d0"},"schema_version":"1.0"},"canonical_sha256":"ee792397faf81a0a0426dcdd1cfd31b106ed95cb07eda911d638c423cad6f5f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:57:44.465711Z","signature_b64":"QoB7vK1EaixJ/+zxKrQS6QPIaejJm6CNFifPh9W/hjsibeuixIzrlqQqh0survj1jiId4kwuc12ozOP8SeUsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee792397faf81a0a0426dcdd1cfd31b106ed95cb07eda911d638c423cad6f5f4","last_reissued_at":"2026-07-05T02:57:44.465246Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:57:44.465246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.11463","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":"2026-07-05T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W85Yu3BmBPlqqrAsE1XbFQ0EoSsRCftavNgJnKSH4YR2HlCftO4jIamuigvXwmsc4Gs5nwDIigAs2Ww0sl1DBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:27:55.230472Z"},"content_sha256":"27c1001df4a187c931844bb6be0f9a16e2aec7015b72ec05c7620949829e1ba8","schema_version":"1.0","event_id":"sha256:27c1001df4a187c931844bb6be0f9a16e2aec7015b72ec05c7620949829e1ba8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5Z4SHF727ANAUBBG3TORZ7JRWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inflationary model in minimally modified gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Jakkrit Sangtawee, Khamphee Karwan","submitted_at":"2021-03-21T18:54:25Z","abstract_excerpt":"We have investigated inflationary model constructed from minimally modified gravity (MMG) theories. The MMG theory in the form of $f({\\bf H}) \\propto {\\bf H}^{1+p}$ gravity where, ${\\bf H}$ is the Hamiltonian constraint in the Einstein gravity and $p$ is constant, has been studied. An inflation is difficult to be achieved in this theory of gravity unless an additional scalar field playing a role of inflaton is introduced in the model. We have found that the inflaton with exponential potential can drive inflation with graceful exist different from the case of Einstein gravity. The slow-roll par"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.11463","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.11463/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dz4Gd1kPJitgxhg5zgUEIOv2IiNsgtOF8hR7ZrDXJ+H9/XnyZrywIi/lmcnQKqnAEAbF4yYRXMuxzAq6hKYMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:27:55.230960Z"},"content_sha256":"8c5360e5da0295ce75fd9156f134c4aa45b834aa5e2dc6335a8beb41c33b9716","schema_version":"1.0","event_id":"sha256:8c5360e5da0295ce75fd9156f134c4aa45b834aa5e2dc6335a8beb41c33b9716"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/bundle.json","state_url":"https://pith.science/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/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":"2026-08-11T00:27:55Z","links":{"resolver":"https://pith.science/pith/5Z4SHF727ANAUBBG3TORZ7JRWE","bundle":"https://pith.science/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/bundle.json","state":"https://pith.science/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5Z4SHF727ANAUBBG3TORZ7JRWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5Z4SHF727ANAUBBG3TORZ7JRWE","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":"6e19618bd1da781cd57e863c612802d47cf5d40a5768338a6ac5a2a9b69208d0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-21T18:54:25Z","title_canon_sha256":"3557409e65018f1db9d11232e24f9aa465372f64f983e9ab27c53df8923087f7"},"schema_version":"1.0","source":{"id":"2103.11463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.11463","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2103.11463v2","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.11463","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"5Z4SHF727ANA","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"5Z4SHF727ANAUBBG","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"5Z4SHF72","created_at":"2026-07-05T02:57:44Z"}],"graph_snapshots":[{"event_id":"sha256:8c5360e5da0295ce75fd9156f134c4aa45b834aa5e2dc6335a8beb41c33b9716","target":"graph","created_at":"2026-07-05T02:57:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2103.11463/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have investigated inflationary model constructed from minimally modified gravity (MMG) theories. The MMG theory in the form of $f({\\bf H}) \\propto {\\bf H}^{1+p}$ gravity where, ${\\bf H}$ is the Hamiltonian constraint in the Einstein gravity and $p$ is constant, has been studied. An inflation is difficult to be achieved in this theory of gravity unless an additional scalar field playing a role of inflaton is introduced in the model. We have found that the inflaton with exponential potential can drive inflation with graceful exist different from the case of Einstein gravity. The slow-roll par","authors_text":"Jakkrit Sangtawee, Khamphee Karwan","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-21T18:54:25Z","title":"Inflationary model in minimally modified gravity theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.11463","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":"sha256:27c1001df4a187c931844bb6be0f9a16e2aec7015b72ec05c7620949829e1ba8","target":"record","created_at":"2026-07-05T02:57:44Z","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":"6e19618bd1da781cd57e863c612802d47cf5d40a5768338a6ac5a2a9b69208d0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-03-21T18:54:25Z","title_canon_sha256":"3557409e65018f1db9d11232e24f9aa465372f64f983e9ab27c53df8923087f7"},"schema_version":"1.0","source":{"id":"2103.11463","kind":"arxiv","version":2}},"canonical_sha256":"ee792397faf81a0a0426dcdd1cfd31b106ed95cb07eda911d638c423cad6f5f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee792397faf81a0a0426dcdd1cfd31b106ed95cb07eda911d638c423cad6f5f4","first_computed_at":"2026-07-05T02:57:44.465246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:57:44.465246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QoB7vK1EaixJ/+zxKrQS6QPIaejJm6CNFifPh9W/hjsibeuixIzrlqQqh0survj1jiId4kwuc12ozOP8SeUsDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:57:44.465711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.11463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27c1001df4a187c931844bb6be0f9a16e2aec7015b72ec05c7620949829e1ba8","sha256:8c5360e5da0295ce75fd9156f134c4aa45b834aa5e2dc6335a8beb41c33b9716"],"state_sha256":"877f9658e2fa75ef401592edf51a576eb6f5dd70f9c552a45fec02639a23d102"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1Utj02pgAwyQ3TK+/ZkNG0YyR9MR8zfqwVeR1Kh779EaKpaan5U/aDFXOYnGXuTTrngvS7I2aAmCXowdHRsBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:27:55.235325Z","bundle_sha256":"a70c8ee1cd4e2ca81a25b3ba6f65a73f717a19324d59bf6e0caefe023bf3f97d"}}