{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:4QOHZUQUCJDBKXEFWRFDOTBWX7","short_pith_number":"pith:4QOHZUQU","canonical_record":{"source":{"id":"hep-th/0612220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-12-20T13:25:33Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"dabe2bba8239ad2fde77c11b256172d072c2cafdb271e85e4dcba7cbe777ec16","abstract_canon_sha256":"b4682a131836cb02d1f78be962a0bbaf661643f8b3542bbaa67e08437f71ce8a"},"schema_version":"1.0"},"canonical_sha256":"e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f","source":{"kind":"arxiv","id":"hep-th/0612220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0612220","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612220v2","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612220","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_12","alias_value":"4QOHZUQUCJDB","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_16","alias_value":"4QOHZUQUCJDBKXEF","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_8","alias_value":"4QOHZUQU","created_at":"2026-07-04T15:31:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:4QOHZUQUCJDBKXEFWRFDOTBWX7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0612220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-12-20T13:25:33Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"dabe2bba8239ad2fde77c11b256172d072c2cafdb271e85e4dcba7cbe777ec16","abstract_canon_sha256":"b4682a131836cb02d1f78be962a0bbaf661643f8b3542bbaa67e08437f71ce8a"},"schema_version":"1.0"},"canonical_sha256":"e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:31:44.349490Z","signature_b64":"0RhW+omesoaex6/VZv6ecS4rbtgc6LHATLtUGnlpFNz6KEiqn3ua+VX9g3/7eLe/5JX23rH2B/Plt8vK7f/yCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f","last_reissued_at":"2026-07-04T15:31:44.349150Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:31:44.349150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0612220","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":"2026-07-04T15:31:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dSSBqStXh93iA472E+7bC51Botpzzy8dJeX2UccmUhFW8hivuUUu1zi0UnD+rw7Zhimm656Z7xk/RJ9yjfW9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:22:37.971514Z"},"content_sha256":"ee2928dc36f10a081222d48eb37bcf014316e71a41e8f4b73abc2a9dbb4e439f","schema_version":"1.0","event_id":"sha256:ee2928dc36f10a081222d48eb37bcf014316e71a41e8f4b73abc2a9dbb4e439f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:4QOHZUQUCJDBKXEFWRFDOTBWX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"E. Elizalde, F. Briscese, S. D. Odintsov, S. Nojiri","submitted_at":"2006-12-20T13:25:33Z","abstract_excerpt":"It is shown that phantom scalar models can be mapped into a mathematically equivalent, modified $F(R)$ gravity, which turns out to be complex, in general. Only for even scalar potentials is the ensuing modified gravity real. It is also demonstrated that, even in this case, modified gravity becomes complex at the region where the original phantom dark energy theory develops a Big Rip singularity. A number of explicit examples are presented which show that these two theories are not completely equivalent, from the physical viewpoint. This basically owes to the fact that the physical metric in bo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612220","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/hep-th/0612220/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":"2026-07-04T15:31:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yZ0Qz2H+i21nRdnQLN8Rq2NrwKTc6EI3Gm/2fCeDzZq1n5251YGx8XcIwiCqF+oVROmS8W3qfwlQRHz9YdKVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:22:37.972029Z"},"content_sha256":"4f6ce4858f8ad3d5dcf49342cfd79de7aff1698bf62cbdea2165df7308e6e0cd","schema_version":"1.0","event_id":"sha256:4f6ce4858f8ad3d5dcf49342cfd79de7aff1698bf62cbdea2165df7308e6e0cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/bundle.json","state_url":"https://pith.science/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/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":"2026-08-13T09:22:37Z","links":{"resolver":"https://pith.science/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7","bundle":"https://pith.science/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/bundle.json","state":"https://pith.science/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4QOHZUQUCJDBKXEFWRFDOTBWX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:4QOHZUQUCJDBKXEFWRFDOTBWX7","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":"b4682a131836cb02d1f78be962a0bbaf661643f8b3542bbaa67e08437f71ce8a","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-12-20T13:25:33Z","title_canon_sha256":"dabe2bba8239ad2fde77c11b256172d072c2cafdb271e85e4dcba7cbe777ec16"},"schema_version":"1.0","source":{"id":"hep-th/0612220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0612220","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612220v2","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612220","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_12","alias_value":"4QOHZUQUCJDB","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_16","alias_value":"4QOHZUQUCJDBKXEF","created_at":"2026-07-04T15:31:44Z"},{"alias_kind":"pith_short_8","alias_value":"4QOHZUQU","created_at":"2026-07-04T15:31:44Z"}],"graph_snapshots":[{"event_id":"sha256:4f6ce4858f8ad3d5dcf49342cfd79de7aff1698bf62cbdea2165df7308e6e0cd","target":"graph","created_at":"2026-07-04T15:31:44Z","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/hep-th/0612220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is shown that phantom scalar models can be mapped into a mathematically equivalent, modified $F(R)$ gravity, which turns out to be complex, in general. Only for even scalar potentials is the ensuing modified gravity real. It is also demonstrated that, even in this case, modified gravity becomes complex at the region where the original phantom dark energy theory develops a Big Rip singularity. A number of explicit examples are presented which show that these two theories are not completely equivalent, from the physical viewpoint. This basically owes to the fact that the physical metric in bo","authors_text":"E. Elizalde, F. Briscese, S. D. Odintsov, S. Nojiri","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-12-20T13:25:33Z","title":"Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612220","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:ee2928dc36f10a081222d48eb37bcf014316e71a41e8f4b73abc2a9dbb4e439f","target":"record","created_at":"2026-07-04T15:31:44Z","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":"b4682a131836cb02d1f78be962a0bbaf661643f8b3542bbaa67e08437f71ce8a","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-12-20T13:25:33Z","title_canon_sha256":"dabe2bba8239ad2fde77c11b256172d072c2cafdb271e85e4dcba7cbe777ec16"},"schema_version":"1.0","source":{"id":"hep-th/0612220","kind":"arxiv","version":2}},"canonical_sha256":"e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f","first_computed_at":"2026-07-04T15:31:44.349150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:31:44.349150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0RhW+omesoaex6/VZv6ecS4rbtgc6LHATLtUGnlpFNz6KEiqn3ua+VX9g3/7eLe/5JX23rH2B/Plt8vK7f/yCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:31:44.349490Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0612220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee2928dc36f10a081222d48eb37bcf014316e71a41e8f4b73abc2a9dbb4e439f","sha256:4f6ce4858f8ad3d5dcf49342cfd79de7aff1698bf62cbdea2165df7308e6e0cd"],"state_sha256":"df5b4ae02730123fca12476fd026c790ff941d667d522a62b6d3fc0a3b906cde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4GeH7JEmKLHbEAU7I4p+HdMcoEO7xfqvc2856bROWQn8XdTnrHtwxf0c5h1L5dbTMd1G/jmg1chhZxFnnWd+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T09:22:37.976619Z","bundle_sha256":"99ac4d8d5ed5837545ca256486c23964d971fae1569c094b076c479c9995ea2b"}}