{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VFCR6DBKVYCUAR2PV5NDJWJQO2","short_pith_number":"pith:VFCR6DBK","canonical_record":{"source":{"id":"2508.01378","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-08-02T14:15:55Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"f73c038a538b3d46e435a455e030738f247e930a7cc17d035a4c79a205a0b61d","abstract_canon_sha256":"764da9895c8f1ce9c1651cab8b613a2c395a904a6f6e80705ca3b723bf6a4364"},"schema_version":"1.0"},"canonical_sha256":"a9451f0c2aae0540474faf5a34d93076bfed7af33937dbfbb0852b61ca16a7c8","source":{"kind":"arxiv","id":"2508.01378","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.01378","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"arxiv_version","alias_value":"2508.01378v1","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.01378","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_12","alias_value":"VFCR6DBKVYCU","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_16","alias_value":"VFCR6DBKVYCUAR2P","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_8","alias_value":"VFCR6DBK","created_at":"2026-07-05T11:47:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VFCR6DBKVYCUAR2PV5NDJWJQO2","target":"record","payload":{"canonical_record":{"source":{"id":"2508.01378","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-08-02T14:15:55Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"f73c038a538b3d46e435a455e030738f247e930a7cc17d035a4c79a205a0b61d","abstract_canon_sha256":"764da9895c8f1ce9c1651cab8b613a2c395a904a6f6e80705ca3b723bf6a4364"},"schema_version":"1.0"},"canonical_sha256":"a9451f0c2aae0540474faf5a34d93076bfed7af33937dbfbb0852b61ca16a7c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:47:38.189894Z","signature_b64":"cPVYIp2atv+7AaceRXKV2tC8upl/B2Bp3ADbffOh48jN0k6Og6gJG80CLBsjEVPsoGBp0iT/kbnWT98+Cvf2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9451f0c2aae0540474faf5a34d93076bfed7af33937dbfbb0852b61ca16a7c8","last_reissued_at":"2026-07-05T11:47:38.189440Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:47:38.189440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.01378","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:47:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3I+8slJ2SeQm5ZmRQmvDxp46XxSaIEo09qRLvzrobnV4cxWhDp6UDbbxOW8oVncSKyACp0WkHqpFWKMGRd5EBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:23:59.565996Z"},"content_sha256":"b0c76d84a5d51f5a0f01a0e15a85de62ffa534918b53e85da1ad89801de8737d","schema_version":"1.0","event_id":"sha256:b0c76d84a5d51f5a0f01a0e15a85de62ffa534918b53e85da1ad89801de8737d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VFCR6DBKVYCUAR2PV5NDJWJQO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A General Model for Dark Energy Crossing the Phantom Divide","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Alessandra Silvestri, Gen Ye, Zhibang Yao","submitted_at":"2025-08-02T14:15:55Z","abstract_excerpt":"Within the framework of spatially covariant theories, we propose a general model for dark energy (DE) in which the cosmological background and perturbations are independently controlled by different sets of coefficients, and the equation of state of DE is directly determined by two free functions of time from the Lagrangian. These properties allow to realize arbitrary background evolutions while avoiding ghost and gradient instabilities in linear perturbations. They also enable a more direct analysis of phantom crossing without having to first solve the background equations of motion. In this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.01378","kind":"arxiv","version":1},"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/2508.01378/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":"2026-07-05T11:47:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"14UljGNB7sp9tm/aT6K16nIx0dKR5PHn+EbWUWE+tlwH/xcW+8qzxtq6im7niTcKb2uM+YIhvNC50p/z8pqDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:23:59.566519Z"},"content_sha256":"16045650ca55a0bf6b2245c920ff39460f9e2bc4ae8dffe4532a74c2f9ba5053","schema_version":"1.0","event_id":"sha256:16045650ca55a0bf6b2245c920ff39460f9e2bc4ae8dffe4532a74c2f9ba5053"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/bundle.json","state_url":"https://pith.science/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/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":"2026-08-04T17:23:59Z","links":{"resolver":"https://pith.science/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2","bundle":"https://pith.science/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/bundle.json","state":"https://pith.science/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFCR6DBKVYCUAR2PV5NDJWJQO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VFCR6DBKVYCUAR2PV5NDJWJQO2","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":"764da9895c8f1ce9c1651cab8b613a2c395a904a6f6e80705ca3b723bf6a4364","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-08-02T14:15:55Z","title_canon_sha256":"f73c038a538b3d46e435a455e030738f247e930a7cc17d035a4c79a205a0b61d"},"schema_version":"1.0","source":{"id":"2508.01378","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.01378","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"arxiv_version","alias_value":"2508.01378v1","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.01378","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_12","alias_value":"VFCR6DBKVYCU","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_16","alias_value":"VFCR6DBKVYCUAR2P","created_at":"2026-07-05T11:47:38Z"},{"alias_kind":"pith_short_8","alias_value":"VFCR6DBK","created_at":"2026-07-05T11:47:38Z"}],"graph_snapshots":[{"event_id":"sha256:16045650ca55a0bf6b2245c920ff39460f9e2bc4ae8dffe4532a74c2f9ba5053","target":"graph","created_at":"2026-07-05T11:47:38Z","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/2508.01378/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Within the framework of spatially covariant theories, we propose a general model for dark energy (DE) in which the cosmological background and perturbations are independently controlled by different sets of coefficients, and the equation of state of DE is directly determined by two free functions of time from the Lagrangian. These properties allow to realize arbitrary background evolutions while avoiding ghost and gradient instabilities in linear perturbations. They also enable a more direct analysis of phantom crossing without having to first solve the background equations of motion. In this ","authors_text":"Alessandra Silvestri, Gen Ye, Zhibang Yao","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-08-02T14:15:55Z","title":"A General Model for Dark Energy Crossing the Phantom Divide"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.01378","kind":"arxiv","version":1},"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:b0c76d84a5d51f5a0f01a0e15a85de62ffa534918b53e85da1ad89801de8737d","target":"record","created_at":"2026-07-05T11:47:38Z","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":"764da9895c8f1ce9c1651cab8b613a2c395a904a6f6e80705ca3b723bf6a4364","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-08-02T14:15:55Z","title_canon_sha256":"f73c038a538b3d46e435a455e030738f247e930a7cc17d035a4c79a205a0b61d"},"schema_version":"1.0","source":{"id":"2508.01378","kind":"arxiv","version":1}},"canonical_sha256":"a9451f0c2aae0540474faf5a34d93076bfed7af33937dbfbb0852b61ca16a7c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9451f0c2aae0540474faf5a34d93076bfed7af33937dbfbb0852b61ca16a7c8","first_computed_at":"2026-07-05T11:47:38.189440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:47:38.189440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPVYIp2atv+7AaceRXKV2tC8upl/B2Bp3ADbffOh48jN0k6Og6gJG80CLBsjEVPsoGBp0iT/kbnWT98+Cvf2Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:47:38.189894Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.01378","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0c76d84a5d51f5a0f01a0e15a85de62ffa534918b53e85da1ad89801de8737d","sha256:16045650ca55a0bf6b2245c920ff39460f9e2bc4ae8dffe4532a74c2f9ba5053"],"state_sha256":"a840b441486919ac730f1e8232d8a459fbc2e572b3fb64c6f7e30737b80a0f70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXIuk7aC3j5nSBggdF52hi16oy3yAi0uD16j3B0LmLK8obdm96YjolwrS70qcNCv4ZNB+NV0KnHuYarXR0GVBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:23:59.572940Z","bundle_sha256":"3bf7bfceb850b14c4d1e551d282d4c495c0992da2cbaac8b85085be04a57f603"}}