{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:T3CP4UZFEX4E4WWKGRPTPIPJ4W","short_pith_number":"pith:T3CP4UZF","canonical_record":{"source":{"id":"1502.06497","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-23T16:52:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7008b666bf2db09aff41027b1b7acef6b54ebac280f28cf039e3975b66432124","abstract_canon_sha256":"489e877eb553e29b3290ae0e2863ed78f04a51928c2021196413a061bc07ee64"},"schema_version":"1.0"},"canonical_sha256":"9ec4fe532525f84e5aca345f37a1e9e59a6f2b16b3685e358c86e4ef9160cfbc","source":{"kind":"arxiv","id":"1502.06497","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06497","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06497v3","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06497","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"pith_short_12","alias_value":"T3CP4UZFEX4E","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T3CP4UZFEX4E4WWK","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T3CP4UZF","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:T3CP4UZFEX4E4WWKGRPTPIPJ4W","target":"record","payload":{"canonical_record":{"source":{"id":"1502.06497","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-23T16:52:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7008b666bf2db09aff41027b1b7acef6b54ebac280f28cf039e3975b66432124","abstract_canon_sha256":"489e877eb553e29b3290ae0e2863ed78f04a51928c2021196413a061bc07ee64"},"schema_version":"1.0"},"canonical_sha256":"9ec4fe532525f84e5aca345f37a1e9e59a6f2b16b3685e358c86e4ef9160cfbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:47.679025Z","signature_b64":"Uy5qKOd6E/nLTmtUUL8aMwGZnA5EB/mmYmFWlTIbkJo2wpWiie89j26XgRIhbnFdfvwernHZPBVR090/kZlWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ec4fe532525f84e5aca345f37a1e9e59a6f2b16b3685e358c86e4ef9160cfbc","last_reissued_at":"2026-05-18T00:48:47.678358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:47.678358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.06497","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":"2026-05-18T00:48:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJkyQhgUCoG9KGXCuDaoIsESiLmk7E5cuKL+V7QEXqhUClob1Mkyv6SvM1czyU5znotT9xY6/d41VwSonq0XBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:40:43.438873Z"},"content_sha256":"f04429cacd8e6e66ded0a91458b91ccaa1550d03fedb22b922f323081e065c1d","schema_version":"1.0","event_id":"sha256:f04429cacd8e6e66ded0a91458b91ccaa1550d03fedb22b922f323081e065c1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:T3CP4UZFEX4E4WWKGRPTPIPJ4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scale Factor Self-Dual Cosmological Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"A.A. Lima, G.M. Sotkov, U. Camara dS","submitted_at":"2015-02-23T16:52:13Z","abstract_excerpt":"We implement a conformal time scale factor duality for Friedmann-Robertson-Walker cosmological models, which is consistent with the weak energy condition. The requirement for self-duality determines the equations of state for a broad class of barotropic fluids. We study the example of a universe filled with two interacting fluids, presenting an accelerated and a decelerated period, with manifest UV/IR duality. The associated self-dual scalar field interaction turns out to coincide with the \"radiation-like\" modified Chaplygin gas models. We present an equivalent realization of them as gauged K\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06497","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":"2026-05-18T00:48:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YlZywsSQUYdr5LpyIhDgcoGIqUneetpVjrS4m/q4Nq0r14WnS5DWattJn0ozQl5h70wUWg7ciFNBchOJCCXiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:40:43.439219Z"},"content_sha256":"e8ea38b0c796d614ae0b7eb42494cdafee5da69e247d4e998b1afdeca02bf178","schema_version":"1.0","event_id":"sha256:e8ea38b0c796d614ae0b7eb42494cdafee5da69e247d4e998b1afdeca02bf178"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/bundle.json","state_url":"https://pith.science/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/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":"2026-06-01T12:40:43Z","links":{"resolver":"https://pith.science/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W","bundle":"https://pith.science/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/bundle.json","state":"https://pith.science/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3CP4UZFEX4E4WWKGRPTPIPJ4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:T3CP4UZFEX4E4WWKGRPTPIPJ4W","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":"489e877eb553e29b3290ae0e2863ed78f04a51928c2021196413a061bc07ee64","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-23T16:52:13Z","title_canon_sha256":"7008b666bf2db09aff41027b1b7acef6b54ebac280f28cf039e3975b66432124"},"schema_version":"1.0","source":{"id":"1502.06497","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06497","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06497v3","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06497","created_at":"2026-05-18T00:48:47Z"},{"alias_kind":"pith_short_12","alias_value":"T3CP4UZFEX4E","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T3CP4UZFEX4E4WWK","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T3CP4UZF","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:e8ea38b0c796d614ae0b7eb42494cdafee5da69e247d4e998b1afdeca02bf178","target":"graph","created_at":"2026-05-18T00:48:47Z","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 implement a conformal time scale factor duality for Friedmann-Robertson-Walker cosmological models, which is consistent with the weak energy condition. The requirement for self-duality determines the equations of state for a broad class of barotropic fluids. We study the example of a universe filled with two interacting fluids, presenting an accelerated and a decelerated period, with manifest UV/IR duality. The associated self-dual scalar field interaction turns out to coincide with the \"radiation-like\" modified Chaplygin gas models. We present an equivalent realization of them as gauged K\\","authors_text":"A.A. Lima, G.M. Sotkov, U. Camara dS","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-23T16:52:13Z","title":"Scale Factor Self-Dual Cosmological Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06497","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:f04429cacd8e6e66ded0a91458b91ccaa1550d03fedb22b922f323081e065c1d","target":"record","created_at":"2026-05-18T00:48:47Z","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":"489e877eb553e29b3290ae0e2863ed78f04a51928c2021196413a061bc07ee64","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-23T16:52:13Z","title_canon_sha256":"7008b666bf2db09aff41027b1b7acef6b54ebac280f28cf039e3975b66432124"},"schema_version":"1.0","source":{"id":"1502.06497","kind":"arxiv","version":3}},"canonical_sha256":"9ec4fe532525f84e5aca345f37a1e9e59a6f2b16b3685e358c86e4ef9160cfbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ec4fe532525f84e5aca345f37a1e9e59a6f2b16b3685e358c86e4ef9160cfbc","first_computed_at":"2026-05-18T00:48:47.678358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:47.678358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uy5qKOd6E/nLTmtUUL8aMwGZnA5EB/mmYmFWlTIbkJo2wpWiie89j26XgRIhbnFdfvwernHZPBVR090/kZlWBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:47.679025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06497","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f04429cacd8e6e66ded0a91458b91ccaa1550d03fedb22b922f323081e065c1d","sha256:e8ea38b0c796d614ae0b7eb42494cdafee5da69e247d4e998b1afdeca02bf178"],"state_sha256":"ec7e080c50f508254e0e53675ab34ec5ad1c550f8bc98dcef0dfe750c5d83699"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UhZuVqYsQtYzEaauUK/8wzEtWB0hz7wFhfJqjVVc1mzsABtIM6fqmoQkwp1Od/m8iCQviFHluq/95Ffxo1XiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:40:43.441204Z","bundle_sha256":"863b7bd79fbca2145eb1ebeda639ba248f010391568a555f478bfb7e2ba02313"}}