{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6QM7HML5EGDKYQTZKTJ54HFB2A","short_pith_number":"pith:6QM7HML5","canonical_record":{"source":{"id":"1805.10405","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-26T00:29:42Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"def0a843e8532bbf90efe19b1ef488122bd860540719415b6fdc32cac27a1913","abstract_canon_sha256":"a3c60986261b4b1f23a7e41be6a81aa3f2c5b29fd346f624ed3417855fa88ce6"},"schema_version":"1.0"},"canonical_sha256":"f419f3b17d2186ac427954d3de1ca1d01e5f1ac36f866f540b971b3e88e17669","source":{"kind":"arxiv","id":"1805.10405","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10405","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10405v2","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10405","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"6QM7HML5EGDK","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6QM7HML5EGDKYQTZ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6QM7HML5","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6QM7HML5EGDKYQTZKTJ54HFB2A","target":"record","payload":{"canonical_record":{"source":{"id":"1805.10405","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-26T00:29:42Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"def0a843e8532bbf90efe19b1ef488122bd860540719415b6fdc32cac27a1913","abstract_canon_sha256":"a3c60986261b4b1f23a7e41be6a81aa3f2c5b29fd346f624ed3417855fa88ce6"},"schema_version":"1.0"},"canonical_sha256":"f419f3b17d2186ac427954d3de1ca1d01e5f1ac36f866f540b971b3e88e17669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:21.615601Z","signature_b64":"6fHPdrOu37DKrr6JQXbeVCylqikv5ValPtKkEaeLZ7+C5Vw6v5he9vSxJgqglLU0sV7Iv1UlvQQ7zGSyYOn8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f419f3b17d2186ac427954d3de1ca1d01e5f1ac36f866f540b971b3e88e17669","last_reissued_at":"2026-05-18T00:05:21.615051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:21.615051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.10405","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":"2026-05-18T00:05:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"So/LAMCTrTyfKqSb5Zb6zAlPcecnVUEvAJfeSNmigSUrrZqpBVSegZGpSsyOKWSnTs4bBfa3yHrwzZ1MTSczCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:58:35.546334Z"},"content_sha256":"a9f909073b4a570ad1519f116006da439ce85aede8a724e5d0eff5b5f80738f1","schema_version":"1.0","event_id":"sha256:a9f909073b4a570ad1519f116006da439ce85aede8a724e5d0eff5b5f80738f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6QM7HML5EGDKYQTZKTJ54HFB2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Versatile parametrization of the perturbation growth rate on the phantom brane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Alexander Viznyuk, Satadru Bag, Varun Sahni, Yuri Shtanov","submitted_at":"2018-05-26T00:29:42Z","abstract_excerpt":"We derive an analytical expression for the growth rate of matter density perturbations on the phantom brane (which is the normal branch of the Dvali-Gabadadze-Porrati model). This model is characterized by a phantomlike effective equation of state for dark energy at the present epoch. It agrees very well with observations. We demonstrate that the traditional parametrization $f=\\Omega_m^\\gamma$ with a quasiconstant growth index $\\gamma$ is not successful in this case. Based on a power series expansion at large redshifts, we propose a different parametrization for this model: $f=\\Omega_m^\\gamma\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10405","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":""},"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":"2026-05-18T00:05:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqA0Cubq00zSFNzc6ASlSfR8baOABHjUlBDnZrvK/FbKZqLI0L17eywG0186C7gv7hOAFWweuhSMwmq/UbTQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:58:35.547103Z"},"content_sha256":"a684488e36d60fec5583684634088ad8294b7067210f53e896c64965fe79a320","schema_version":"1.0","event_id":"sha256:a684488e36d60fec5583684634088ad8294b7067210f53e896c64965fe79a320"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/bundle.json","state_url":"https://pith.science/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/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":"2026-05-30T10:58:35Z","links":{"resolver":"https://pith.science/pith/6QM7HML5EGDKYQTZKTJ54HFB2A","bundle":"https://pith.science/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/bundle.json","state":"https://pith.science/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QM7HML5EGDKYQTZKTJ54HFB2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6QM7HML5EGDKYQTZKTJ54HFB2A","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":"a3c60986261b4b1f23a7e41be6a81aa3f2c5b29fd346f624ed3417855fa88ce6","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-26T00:29:42Z","title_canon_sha256":"def0a843e8532bbf90efe19b1ef488122bd860540719415b6fdc32cac27a1913"},"schema_version":"1.0","source":{"id":"1805.10405","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10405","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10405v2","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10405","created_at":"2026-05-18T00:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"6QM7HML5EGDK","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6QM7HML5EGDKYQTZ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6QM7HML5","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:a684488e36d60fec5583684634088ad8294b7067210f53e896c64965fe79a320","target":"graph","created_at":"2026-05-18T00:05:21Z","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 derive an analytical expression for the growth rate of matter density perturbations on the phantom brane (which is the normal branch of the Dvali-Gabadadze-Porrati model). This model is characterized by a phantomlike effective equation of state for dark energy at the present epoch. It agrees very well with observations. We demonstrate that the traditional parametrization $f=\\Omega_m^\\gamma$ with a quasiconstant growth index $\\gamma$ is not successful in this case. Based on a power series expansion at large redshifts, we propose a different parametrization for this model: $f=\\Omega_m^\\gamma\\","authors_text":"Alexander Viznyuk, Satadru Bag, Varun Sahni, Yuri Shtanov","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-26T00:29:42Z","title":"Versatile parametrization of the perturbation growth rate on the phantom brane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10405","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:a9f909073b4a570ad1519f116006da439ce85aede8a724e5d0eff5b5f80738f1","target":"record","created_at":"2026-05-18T00:05:21Z","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":"a3c60986261b4b1f23a7e41be6a81aa3f2c5b29fd346f624ed3417855fa88ce6","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-26T00:29:42Z","title_canon_sha256":"def0a843e8532bbf90efe19b1ef488122bd860540719415b6fdc32cac27a1913"},"schema_version":"1.0","source":{"id":"1805.10405","kind":"arxiv","version":2}},"canonical_sha256":"f419f3b17d2186ac427954d3de1ca1d01e5f1ac36f866f540b971b3e88e17669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f419f3b17d2186ac427954d3de1ca1d01e5f1ac36f866f540b971b3e88e17669","first_computed_at":"2026-05-18T00:05:21.615051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:21.615051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6fHPdrOu37DKrr6JQXbeVCylqikv5ValPtKkEaeLZ7+C5Vw6v5he9vSxJgqglLU0sV7Iv1UlvQQ7zGSyYOn8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:21.615601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10405","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9f909073b4a570ad1519f116006da439ce85aede8a724e5d0eff5b5f80738f1","sha256:a684488e36d60fec5583684634088ad8294b7067210f53e896c64965fe79a320"],"state_sha256":"1ee4ba3270ba77d32f0c5f8939bd35414e13780c1ba56ee93b2efb60d2a9bb37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdAjQrsKDjPOj1QGenbG9UYzT7TCzCaoeXzQrT1+cYtaPHYtXu3qqALKpIVcP1BecA/5GSHBa+VssvlVOyzoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:58:35.551478Z","bundle_sha256":"53e6681b619e9e821d0cc0597258aa950443604eaeec2b97498aa3c233906a26"}}