{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GHSG6XFVOZZ7KHKNDBGMDQFGHK","short_pith_number":"pith:GHSG6XFV","canonical_record":{"source":{"id":"1112.4194","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-18T21:55:22Z","cross_cats_sorted":[],"title_canon_sha256":"1b0704da42221ab28f7a3606546e3a9fad47a2a3d1d65431b612d11e4746067d","abstract_canon_sha256":"1859f8d2cc8738e79f75265b24b44c2a72c6fe23b6a1ef19bf06c247aaf1cea5"},"schema_version":"1.0"},"canonical_sha256":"31e46f5cb57673f51d4d184cc1c0a63a9eda54476f51f27a77af01fc1247ac9f","source":{"kind":"arxiv","id":"1112.4194","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4194","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4194v3","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4194","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"GHSG6XFVOZZ7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GHSG6XFVOZZ7KHKN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GHSG6XFV","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GHSG6XFVOZZ7KHKNDBGMDQFGHK","target":"record","payload":{"canonical_record":{"source":{"id":"1112.4194","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-18T21:55:22Z","cross_cats_sorted":[],"title_canon_sha256":"1b0704da42221ab28f7a3606546e3a9fad47a2a3d1d65431b612d11e4746067d","abstract_canon_sha256":"1859f8d2cc8738e79f75265b24b44c2a72c6fe23b6a1ef19bf06c247aaf1cea5"},"schema_version":"1.0"},"canonical_sha256":"31e46f5cb57673f51d4d184cc1c0a63a9eda54476f51f27a77af01fc1247ac9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:02.735823Z","signature_b64":"vbTdzGmLBKybXu42Cs9+WZfxuYP8TkjgahCMiVpMb/lviFcvxYOFpMyiLUQwp2LH83MMFmOUF1B21xkReTKqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31e46f5cb57673f51d4d184cc1c0a63a9eda54476f51f27a77af01fc1247ac9f","last_reissued_at":"2026-05-18T03:55:02.735137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:02.735137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.4194","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":"2026-05-18T03:55:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rok9aeaZuAg6B9viqoh2pq6pb3dusUnZByxc8nNxOlhk2CtILNXbk0yrwYiM08BvK1GAO+U5W2QHIhfFBgh9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:21:21.527353Z"},"content_sha256":"52af0f591bcd3a5bb1465dc6103e69186f66ca4b7b331cc0a010f84733a0bd56","schema_version":"1.0","event_id":"sha256:52af0f591bcd3a5bb1465dc6103e69186f66ca4b7b331cc0a010f84733a0bd56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GHSG6XFVOZZ7KHKNDBGMDQFGHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable super-inflating cosmological solutions in f(R)-gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alexey V. Toporensky, Mikhail M. Ivanov","submitted_at":"2011-12-18T21:55:22Z","abstract_excerpt":"We consider super-inflating solutions in modified gravity for several popular families of $f(R)$ functions. Using scalar field reformulation of $f(R)$-gravity we describe how the form of effective scalar field potential can be used for explaining existence of stable super-inflation solutions in the theory under consideration. Several new solutions of this type have been found analytically and checked numerically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4194","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":"2026-05-18T03:55:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WRIQ+SVMLI5b1//pZS1jtJlg63P3wzIuLL6k92gwMcDg+LTUtdguKg9qvNOBnFSHoJ7/8Ra67VCfqL3dtDb2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:21:21.527700Z"},"content_sha256":"4210c6da47d80edf969eb72247f5c24cadeb366c8356c2bf5df83bb5da11ef73","schema_version":"1.0","event_id":"sha256:4210c6da47d80edf969eb72247f5c24cadeb366c8356c2bf5df83bb5da11ef73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/bundle.json","state_url":"https://pith.science/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/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":"2026-06-27T20:21:21Z","links":{"resolver":"https://pith.science/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK","bundle":"https://pith.science/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/bundle.json","state":"https://pith.science/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHSG6XFVOZZ7KHKNDBGMDQFGHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GHSG6XFVOZZ7KHKNDBGMDQFGHK","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":"1859f8d2cc8738e79f75265b24b44c2a72c6fe23b6a1ef19bf06c247aaf1cea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-18T21:55:22Z","title_canon_sha256":"1b0704da42221ab28f7a3606546e3a9fad47a2a3d1d65431b612d11e4746067d"},"schema_version":"1.0","source":{"id":"1112.4194","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4194","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4194v3","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4194","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"GHSG6XFVOZZ7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GHSG6XFVOZZ7KHKN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GHSG6XFV","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:4210c6da47d80edf969eb72247f5c24cadeb366c8356c2bf5df83bb5da11ef73","target":"graph","created_at":"2026-05-18T03:55:02Z","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 consider super-inflating solutions in modified gravity for several popular families of $f(R)$ functions. Using scalar field reformulation of $f(R)$-gravity we describe how the form of effective scalar field potential can be used for explaining existence of stable super-inflation solutions in the theory under consideration. Several new solutions of this type have been found analytically and checked numerically.","authors_text":"Alexey V. Toporensky, Mikhail M. Ivanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-18T21:55:22Z","title":"Stable super-inflating cosmological solutions in f(R)-gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4194","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":"sha256:52af0f591bcd3a5bb1465dc6103e69186f66ca4b7b331cc0a010f84733a0bd56","target":"record","created_at":"2026-05-18T03:55:02Z","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":"1859f8d2cc8738e79f75265b24b44c2a72c6fe23b6a1ef19bf06c247aaf1cea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-18T21:55:22Z","title_canon_sha256":"1b0704da42221ab28f7a3606546e3a9fad47a2a3d1d65431b612d11e4746067d"},"schema_version":"1.0","source":{"id":"1112.4194","kind":"arxiv","version":3}},"canonical_sha256":"31e46f5cb57673f51d4d184cc1c0a63a9eda54476f51f27a77af01fc1247ac9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31e46f5cb57673f51d4d184cc1c0a63a9eda54476f51f27a77af01fc1247ac9f","first_computed_at":"2026-05-18T03:55:02.735137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:02.735137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vbTdzGmLBKybXu42Cs9+WZfxuYP8TkjgahCMiVpMb/lviFcvxYOFpMyiLUQwp2LH83MMFmOUF1B21xkReTKqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:02.735823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4194","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52af0f591bcd3a5bb1465dc6103e69186f66ca4b7b331cc0a010f84733a0bd56","sha256:4210c6da47d80edf969eb72247f5c24cadeb366c8356c2bf5df83bb5da11ef73"],"state_sha256":"5955c78031e8c87a93bee9c833c08eea04f72969817f3b1b62e55a9b1c199fb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNt3l7daXGto3yt/An8j/5QaMkHWYlWLLZnogeu/CKzgUPEknrEYh4p/iJGsYd5kmVkwPYdsgxkRoa3e9TKqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:21:21.529711Z","bundle_sha256":"d2060cf05fbef8e006d1abc2e58747bff76d58fddd38380bacd0ecceb39eeebe"}}