{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:75L3353B5YL6GFHYJ4KO7FJE5L","short_pith_number":"pith:75L3353B","canonical_record":{"source":{"id":"2504.02028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-04-02T18:00:00Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"78c668c09d3de025d3cdc5c8e7d45a746dfd994aeb9cbf06522632edd68efbea","abstract_canon_sha256":"6ea2bd77e7df5650972016fc4dea8bb8cd0e75011287dcfa86657723ca685cac"},"schema_version":"1.0"},"canonical_sha256":"ff57bdf761ee17e314f84f14ef9524ead33cefa5b434b2708545b1c62c5d2ba2","source":{"kind":"arxiv","id":"2504.02028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.02028","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"arxiv_version","alias_value":"2504.02028v2","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.02028","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_12","alias_value":"75L3353B5YL6","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_16","alias_value":"75L3353B5YL6GFHY","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_8","alias_value":"75L3353B","created_at":"2026-07-05T11:27:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:75L3353B5YL6GFHYJ4KO7FJE5L","target":"record","payload":{"canonical_record":{"source":{"id":"2504.02028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-04-02T18:00:00Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"78c668c09d3de025d3cdc5c8e7d45a746dfd994aeb9cbf06522632edd68efbea","abstract_canon_sha256":"6ea2bd77e7df5650972016fc4dea8bb8cd0e75011287dcfa86657723ca685cac"},"schema_version":"1.0"},"canonical_sha256":"ff57bdf761ee17e314f84f14ef9524ead33cefa5b434b2708545b1c62c5d2ba2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:27:28.864721Z","signature_b64":"uo+yhoegyyO/Uzb6obF7Z7rzL6X0cRYG5MhXJJw/8aB7gpj7EGxHwROmQyecYR1Loq8+jKULgf7X10VfYqwFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff57bdf761ee17e314f84f14ef9524ead33cefa5b434b2708545b1c62c5d2ba2","last_reissued_at":"2026-07-05T11:27:28.864242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:27:28.864242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.02028","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":"2026-07-05T11:27:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2QP03fORcrSKy/XHTjvHMSyDspCG0UFTze1FdzA15/2pypg73qARIu2eOOC2fetC28mVmc7qxnSjl0BDySTDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:39:28.422645Z"},"content_sha256":"98e596585561c6a86b31375b0b406be39894f3d48d9064adb3debebb6d126156","schema_version":"1.0","event_id":"sha256:98e596585561c6a86b31375b0b406be39894f3d48d9064adb3debebb6d126156"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:75L3353B5YL6GFHYJ4KO7FJE5L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal parameterizations for observational constraints on thawing dark energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Charles L. Steinhardt, David Shlivko, Paul J. Steinhardt","submitted_at":"2025-04-02T18:00:00Z","abstract_excerpt":"Time-varying dark energy is often modeled in observational analyses through generic parameterizations of its equation of state $w(z)$, which typically use two free parameters $\\{w_0, w_a\\}$ to span a broad range of behaviors as a function of redshift. However, this broad range of behaviors can only approximately capture the dynamics of any given microphysical theory of dark energy. A complementary approach is to use targeted parameterizations designed to model specific classes of dynamical dark energy with greater precision. Focusing on the class of thawing dark energy, we quantify and compare"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.02028","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/2504.02028/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":"2026-07-05T11:27:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5DTjLXNAS0G749MHGi4ILrhfUPe5RCPjkBXbCDGPRgTKfNLY8g1Jt2I+OI6k4Y9+svD//oIPmBX8ZbziLajxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:39:28.423175Z"},"content_sha256":"8d579c1b5f0dad6b232ed1cf3fa29831bf79caaeac0178cb11449f282be9b786","schema_version":"1.0","event_id":"sha256:8d579c1b5f0dad6b232ed1cf3fa29831bf79caaeac0178cb11449f282be9b786"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/75L3353B5YL6GFHYJ4KO7FJE5L/bundle.json","state_url":"https://pith.science/pith/75L3353B5YL6GFHYJ4KO7FJE5L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/75L3353B5YL6GFHYJ4KO7FJE5L/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":"2026-08-15T16:39:28Z","links":{"resolver":"https://pith.science/pith/75L3353B5YL6GFHYJ4KO7FJE5L","bundle":"https://pith.science/pith/75L3353B5YL6GFHYJ4KO7FJE5L/bundle.json","state":"https://pith.science/pith/75L3353B5YL6GFHYJ4KO7FJE5L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/75L3353B5YL6GFHYJ4KO7FJE5L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:75L3353B5YL6GFHYJ4KO7FJE5L","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":"6ea2bd77e7df5650972016fc4dea8bb8cd0e75011287dcfa86657723ca685cac","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-04-02T18:00:00Z","title_canon_sha256":"78c668c09d3de025d3cdc5c8e7d45a746dfd994aeb9cbf06522632edd68efbea"},"schema_version":"1.0","source":{"id":"2504.02028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.02028","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"arxiv_version","alias_value":"2504.02028v2","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.02028","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_12","alias_value":"75L3353B5YL6","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_16","alias_value":"75L3353B5YL6GFHY","created_at":"2026-07-05T11:27:28Z"},{"alias_kind":"pith_short_8","alias_value":"75L3353B","created_at":"2026-07-05T11:27:28Z"}],"graph_snapshots":[{"event_id":"sha256:8d579c1b5f0dad6b232ed1cf3fa29831bf79caaeac0178cb11449f282be9b786","target":"graph","created_at":"2026-07-05T11:27:28Z","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/2504.02028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time-varying dark energy is often modeled in observational analyses through generic parameterizations of its equation of state $w(z)$, which typically use two free parameters $\\{w_0, w_a\\}$ to span a broad range of behaviors as a function of redshift. However, this broad range of behaviors can only approximately capture the dynamics of any given microphysical theory of dark energy. A complementary approach is to use targeted parameterizations designed to model specific classes of dynamical dark energy with greater precision. Focusing on the class of thawing dark energy, we quantify and compare","authors_text":"Charles L. Steinhardt, David Shlivko, Paul J. Steinhardt","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-04-02T18:00:00Z","title":"Optimal parameterizations for observational constraints on thawing dark energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.02028","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":"sha256:98e596585561c6a86b31375b0b406be39894f3d48d9064adb3debebb6d126156","target":"record","created_at":"2026-07-05T11:27:28Z","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":"6ea2bd77e7df5650972016fc4dea8bb8cd0e75011287dcfa86657723ca685cac","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-04-02T18:00:00Z","title_canon_sha256":"78c668c09d3de025d3cdc5c8e7d45a746dfd994aeb9cbf06522632edd68efbea"},"schema_version":"1.0","source":{"id":"2504.02028","kind":"arxiv","version":2}},"canonical_sha256":"ff57bdf761ee17e314f84f14ef9524ead33cefa5b434b2708545b1c62c5d2ba2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff57bdf761ee17e314f84f14ef9524ead33cefa5b434b2708545b1c62c5d2ba2","first_computed_at":"2026-07-05T11:27:28.864242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:28.864242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uo+yhoegyyO/Uzb6obF7Z7rzL6X0cRYG5MhXJJw/8aB7gpj7EGxHwROmQyecYR1Loq8+jKULgf7X10VfYqwFDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:28.864721Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.02028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98e596585561c6a86b31375b0b406be39894f3d48d9064adb3debebb6d126156","sha256:8d579c1b5f0dad6b232ed1cf3fa29831bf79caaeac0178cb11449f282be9b786"],"state_sha256":"2576e7884327f7cdcf507c45cb26b832931166c0b54f6b50ceb7466daa918412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7JC5CEL4n9ou/yCfwF+ZmPXoS9n11lf3D3tUiEDmuR8krLjh0pwk7rH7fjixk6vUPYGue8xsSR/jzlEydpBnBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T16:39:28.428482Z","bundle_sha256":"bf712578e6b2f373f5d2fce42be1745099ed761305645e92d32fddd2506e207f"}}