{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:46B5JHKJPWS4H5KIWDHOVNOJVX","short_pith_number":"pith:46B5JHKJ","canonical_record":{"source":{"id":"2601.09369","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-14T10:51:09Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"0980b27bc4f619ec4b2cd8ab46f1b370bbfa7eb2f226a0a1d494ef5aed71d903","abstract_canon_sha256":"05d90e98a8aa3d880186a00692edd13d017c47faa956c017e241ed1b63337479"},"schema_version":"1.0"},"canonical_sha256":"e783d49d497da5c3f548b0ceeab5c9ade0daec1e68da35b7bed6ea2ee4f73af9","source":{"kind":"arxiv","id":"2601.09369","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.09369","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"2601.09369v3","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.09369","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"46B5JHKJPWS4","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"46B5JHKJPWS4H5KI","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"46B5JHKJ","created_at":"2026-05-20T14:03:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:46B5JHKJPWS4H5KIWDHOVNOJVX","target":"record","payload":{"canonical_record":{"source":{"id":"2601.09369","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-14T10:51:09Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"0980b27bc4f619ec4b2cd8ab46f1b370bbfa7eb2f226a0a1d494ef5aed71d903","abstract_canon_sha256":"05d90e98a8aa3d880186a00692edd13d017c47faa956c017e241ed1b63337479"},"schema_version":"1.0"},"canonical_sha256":"e783d49d497da5c3f548b0ceeab5c9ade0daec1e68da35b7bed6ea2ee4f73af9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T14:03:24.170927Z","signature_b64":"j5SuxPHyaP5DRA9dgZrLbLSFStN+uvKbirJfYEaQTbIL7Sru+ywweYvvUYyAjT2MRCSaKbBWnWPsFSzbq8G0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e783d49d497da5c3f548b0ceeab5c9ade0daec1e68da35b7bed6ea2ee4f73af9","last_reissued_at":"2026-05-20T14:03:24.170469Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T14:03:24.170469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.09369","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":"2026-05-20T14:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1w0bskMpuiyOdlLqGzy4+8FcIpq+sFUjTLtTn7vafPogQOqAzAmYULRA7T/6s0sqdYN+XjAvuYQvmyzqY9+iCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:02:06.518938Z"},"content_sha256":"86ce12ed707c49c0a23e376eec80ed9bad9ca8a0135b9f8ff74ff2d311db0ce0","schema_version":"1.0","event_id":"sha256:86ce12ed707c49c0a23e376eec80ed9bad9ca8a0135b9f8ff74ff2d311db0ce0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:46B5JHKJPWS4H5KIWDHOVNOJVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time delay measurements with Broken Power Law model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model.","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Bin Hu, Guanhua Rui, Wei Du","submitted_at":"2026-01-14T10:51:09Z","abstract_excerpt":"One challenge in strong gravitational lensing cosmography is the measurement of time delays between multiple lensed images, which are essential for constraining the Hubble constant (\\(H_0\\)). In this study, we investigate how assumptions about the lens mass profile affect time-delay measurements in lensing systems. Specifically, we implement a Broken Power Law (BPL) mass model within the \\textsc{Lenstronomy} framework (Birrer & Amara 2018), which introduces additional flexibility in the radial mass distribution and can phenomenologically capture deviations from a single power-law profile. This"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"When the internal mass-sheet factor is allowed to vary, the inferred Hubble constant in a flat ΛCDM cosmology with fixed Ωm=0.3 is H0 = 75.3+23.1−16.3 km s^{-1} Mpc^{-1} for the BPL model and H0 = 61.1+19.2−13.2 km s^{-1} Mpc^{-1} for the EPL model.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the Broken Power Law model accurately represents the true radial mass distribution of the lens galaxy and that the numerical time-delay computation introduces no significant biases beyond those in the standard model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A Broken Power Law lens mass model applied to WGD 2038-4008 yields H0 = 75.3 km s^{-1} Mpc^{-1} versus 61.1 from the elliptical power-law model when the internal mass-sheet factor varies.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"6504d5afecae9250d1073bda936a0fb1e71771f6e7d5674a2b8518ae7477cc59"},"source":{"id":"2601.09369","kind":"arxiv","version":3},"verdict":{"id":"7d39828d-d878-4d60-be51-4d7c9e8683e9","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T14:56:02.537099Z","strongest_claim":"When the internal mass-sheet factor is allowed to vary, the inferred Hubble constant in a flat ΛCDM cosmology with fixed Ωm=0.3 is H0 = 75.3+23.1−16.3 km s^{-1} Mpc^{-1} for the BPL model and H0 = 61.1+19.2−13.2 km s^{-1} Mpc^{-1} for the EPL model.","one_line_summary":"A Broken Power Law lens mass model applied to WGD 2038-4008 yields H0 = 75.3 km s^{-1} Mpc^{-1} versus 61.1 from the elliptical power-law model when the internal mass-sheet factor varies.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the Broken Power Law model accurately represents the true radial mass distribution of the lens galaxy and that the numerical time-delay computation introduces no significant biases beyond those in the standard model.","pith_extraction_headline":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.09369/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":2,"snapshot_sha256":"5f991f650469b115eb547e2baffb8ee8773a9cc33e46ba278ddba8f9eebcc58b"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"7d39828d-d878-4d60-be51-4d7c9e8683e9"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T14:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pF97H5YXnJwwsGHWt21dJ0ZRhWjFSiQ7CK3uakDri7Cx+pqz1sbqPzcjSUvKOCd+2k5QihXjXkWXJq6Bc8SYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:02:06.520115Z"},"content_sha256":"b3ed414c71c03eda0f26f966bdc27610514b89eea38aeebee5da47d29771f510","schema_version":"1.0","event_id":"sha256:b3ed414c71c03eda0f26f966bdc27610514b89eea38aeebee5da47d29771f510"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/bundle.json","state_url":"https://pith.science/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/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":"2026-06-10T12:02:06Z","links":{"resolver":"https://pith.science/pith/46B5JHKJPWS4H5KIWDHOVNOJVX","bundle":"https://pith.science/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/bundle.json","state":"https://pith.science/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/46B5JHKJPWS4H5KIWDHOVNOJVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:46B5JHKJPWS4H5KIWDHOVNOJVX","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":"05d90e98a8aa3d880186a00692edd13d017c47faa956c017e241ed1b63337479","cross_cats_sorted":["astro-ph.GA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-14T10:51:09Z","title_canon_sha256":"0980b27bc4f619ec4b2cd8ab46f1b370bbfa7eb2f226a0a1d494ef5aed71d903"},"schema_version":"1.0","source":{"id":"2601.09369","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.09369","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"2601.09369v3","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.09369","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"46B5JHKJPWS4","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_16","alias_value":"46B5JHKJPWS4H5KI","created_at":"2026-05-20T14:03:24Z"},{"alias_kind":"pith_short_8","alias_value":"46B5JHKJ","created_at":"2026-05-20T14:03:24Z"}],"graph_snapshots":[{"event_id":"sha256:b3ed414c71c03eda0f26f966bdc27610514b89eea38aeebee5da47d29771f510","target":"graph","created_at":"2026-05-20T14:03:24Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"When the internal mass-sheet factor is allowed to vary, the inferred Hubble constant in a flat ΛCDM cosmology with fixed Ωm=0.3 is H0 = 75.3+23.1−16.3 km s^{-1} Mpc^{-1} for the BPL model and H0 = 61.1+19.2−13.2 km s^{-1} Mpc^{-1} for the EPL model."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the Broken Power Law model accurately represents the true radial mass distribution of the lens galaxy and that the numerical time-delay computation introduces no significant biases beyond those in the standard model."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A Broken Power Law lens mass model applied to WGD 2038-4008 yields H0 = 75.3 km s^{-1} Mpc^{-1} versus 61.1 from the elliptical power-law model when the internal mass-sheet factor varies."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model."}],"snapshot_sha256":"6504d5afecae9250d1073bda936a0fb1e71771f6e7d5674a2b8518ae7477cc59"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"5f991f650469b115eb547e2baffb8ee8773a9cc33e46ba278ddba8f9eebcc58b"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2601.09369/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One challenge in strong gravitational lensing cosmography is the measurement of time delays between multiple lensed images, which are essential for constraining the Hubble constant (\\(H_0\\)). In this study, we investigate how assumptions about the lens mass profile affect time-delay measurements in lensing systems. Specifically, we implement a Broken Power Law (BPL) mass model within the \\textsc{Lenstronomy} framework (Birrer & Amara 2018), which introduces additional flexibility in the radial mass distribution and can phenomenologically capture deviations from a single power-law profile. This","authors_text":"Bin Hu, Guanhua Rui, Wei Du","cross_cats":["astro-ph.GA"],"headline":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-14T10:51:09Z","title":"Time delay measurements with Broken Power Law model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.09369","kind":"arxiv","version":3},"verdict":{"created_at":"2026-05-16T14:56:02.537099Z","id":"7d39828d-d878-4d60-be51-4d7c9e8683e9","model_set":{"reader":"grok-4.3"},"one_line_summary":"A Broken Power Law lens mass model applied to WGD 2038-4008 yields H0 = 75.3 km s^{-1} Mpc^{-1} versus 61.1 from the elliptical power-law model when the internal mass-sheet factor varies.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A Broken Power Law lens mass model for WGD 2038-4008 yields H0 of 75.3 km s^{-1} Mpc^{-1} when the internal mass-sheet factor varies, compared to 61.1 from the elliptical power-law model.","strongest_claim":"When the internal mass-sheet factor is allowed to vary, the inferred Hubble constant in a flat ΛCDM cosmology with fixed Ωm=0.3 is H0 = 75.3+23.1−16.3 km s^{-1} Mpc^{-1} for the BPL model and H0 = 61.1+19.2−13.2 km s^{-1} Mpc^{-1} for the EPL model.","weakest_assumption":"That the Broken Power Law model accurately represents the true radial mass distribution of the lens galaxy and that the numerical time-delay computation introduces no significant biases beyond those in the standard model."}},"verdict_id":"7d39828d-d878-4d60-be51-4d7c9e8683e9"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:86ce12ed707c49c0a23e376eec80ed9bad9ca8a0135b9f8ff74ff2d311db0ce0","target":"record","created_at":"2026-05-20T14:03:24Z","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":"05d90e98a8aa3d880186a00692edd13d017c47faa956c017e241ed1b63337479","cross_cats_sorted":["astro-ph.GA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-14T10:51:09Z","title_canon_sha256":"0980b27bc4f619ec4b2cd8ab46f1b370bbfa7eb2f226a0a1d494ef5aed71d903"},"schema_version":"1.0","source":{"id":"2601.09369","kind":"arxiv","version":3}},"canonical_sha256":"e783d49d497da5c3f548b0ceeab5c9ade0daec1e68da35b7bed6ea2ee4f73af9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e783d49d497da5c3f548b0ceeab5c9ade0daec1e68da35b7bed6ea2ee4f73af9","first_computed_at":"2026-05-20T14:03:24.170469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:24.170469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5SuxPHyaP5DRA9dgZrLbLSFStN+uvKbirJfYEaQTbIL7Sru+ywweYvvUYyAjT2MRCSaKbBWnWPsFSzbq8G0BQ==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:24.170927Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.09369","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86ce12ed707c49c0a23e376eec80ed9bad9ca8a0135b9f8ff74ff2d311db0ce0","sha256:b3ed414c71c03eda0f26f966bdc27610514b89eea38aeebee5da47d29771f510"],"state_sha256":"07360e594ff1e8a17872b04b1c7290045499a7324a55a5ce811463a253b9faa2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSYywHCvB7LXHdDgETq1/x6iBBlZC0PzLTFroZp06GxocSwDom/AabYoS5dAPQo7g5JeLHIOnR/rnzQ1208ACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:02:06.525521Z","bundle_sha256":"afeecbc6ff13916ff0e762ce8fad87a9505925e683eccb62efbb57cc001790fa"}}