{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CTB6PV5C32SKU4XUTFOZUS7XWQ","short_pith_number":"pith:CTB6PV5C","canonical_record":{"source":{"id":"1401.1270","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-07T04:48:24Z","cross_cats_sorted":[],"title_canon_sha256":"4c835dd703951e9322b88a0c36c477079f1851d6d3cb83684d32390b023da7cb","abstract_canon_sha256":"a4dc8a37df429d6b6f5deb9ba872fd076a7bde393f44760599680e8561199ad3"},"schema_version":"1.0"},"canonical_sha256":"14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c","source":{"kind":"arxiv","id":"1401.1270","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1270","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1270v6","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1270","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"CTB6PV5C32SK","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CTB6PV5C32SKU4XU","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CTB6PV5C","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CTB6PV5C32SKU4XUTFOZUS7XWQ","target":"record","payload":{"canonical_record":{"source":{"id":"1401.1270","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-07T04:48:24Z","cross_cats_sorted":[],"title_canon_sha256":"4c835dd703951e9322b88a0c36c477079f1851d6d3cb83684d32390b023da7cb","abstract_canon_sha256":"a4dc8a37df429d6b6f5deb9ba872fd076a7bde393f44760599680e8561199ad3"},"schema_version":"1.0"},"canonical_sha256":"14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:23.282117Z","signature_b64":"2ojzr71PoTB5BApWsYOPrf2AIJZWjiOGzIL6BC6NTSxMkQ5Y0sRIpQaBz2SUZuujBTtDmVzqkdTg2UiTJsHlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c","last_reissued_at":"2026-05-18T02:52:23.281097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:23.281097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.1270","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7eVa0tuWPBLhdeNP9Js2UtW8f51YptMK93R46+CzCBy7HE8FUmHV9Gt/wNU1ckj9y4Rr27qJ0zF9YlFCetG8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:23:29.751688Z"},"content_sha256":"c71de71f22d08b637122f9162fdb4dd50a381e787072e90eb15c996d1c2f7a9d","schema_version":"1.0","event_id":"sha256:c71de71f22d08b637122f9162fdb4dd50a381e787072e90eb15c996d1c2f7a9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CTB6PV5C32SKU4XUTFOZUS7XWQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherical top-hat Collapse of a Viscous Unified Dark Fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Lixin Xu, Wei Li","submitted_at":"2014-01-07T04:48:24Z","abstract_excerpt":"In this paper, we test the spherical collapse of a viscous unified dark fluid (VUDF) which has constant adiabatic sound speed and show the nonlinear collapse for VUDF, baryons, and dark matter which are important to form the large scale structure of our Universe. By varying the values of model parameters $\\alpha$ and $\\zeta_{0}$, we discuss their effects on the nonlinear collapse of the VUDF model, and compare its result to $\\Lambda CDM$ model. The analyzed results show that, within the spherical top-hat collapse framework, larger values of $\\alpha$ and smaller values of $\\zeta_{0}$ make the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1270","kind":"arxiv","version":6},"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":"2026-05-18T02:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRWvBkshODjzgcwdpUF7tADOC3T5/Edu3GfOtO7QPyHYldrA56uaq21chnpEPTmcWJhtK90F/Lwcl8Z/iCg/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:23:29.752373Z"},"content_sha256":"047f1c77a95dbc00bb17eb43c4830303b9362933f574920562a6fc59fab102e2","schema_version":"1.0","event_id":"sha256:047f1c77a95dbc00bb17eb43c4830303b9362933f574920562a6fc59fab102e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/bundle.json","state_url":"https://pith.science/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/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":"2026-06-05T00:23:29Z","links":{"resolver":"https://pith.science/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ","bundle":"https://pith.science/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/bundle.json","state":"https://pith.science/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CTB6PV5C32SKU4XUTFOZUS7XWQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CTB6PV5C32SKU4XUTFOZUS7XWQ","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":"a4dc8a37df429d6b6f5deb9ba872fd076a7bde393f44760599680e8561199ad3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-07T04:48:24Z","title_canon_sha256":"4c835dd703951e9322b88a0c36c477079f1851d6d3cb83684d32390b023da7cb"},"schema_version":"1.0","source":{"id":"1401.1270","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1270","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1270v6","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1270","created_at":"2026-05-18T02:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"CTB6PV5C32SK","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CTB6PV5C32SKU4XU","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CTB6PV5C","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:047f1c77a95dbc00bb17eb43c4830303b9362933f574920562a6fc59fab102e2","target":"graph","created_at":"2026-05-18T02:52:23Z","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":"In this paper, we test the spherical collapse of a viscous unified dark fluid (VUDF) which has constant adiabatic sound speed and show the nonlinear collapse for VUDF, baryons, and dark matter which are important to form the large scale structure of our Universe. By varying the values of model parameters $\\alpha$ and $\\zeta_{0}$, we discuss their effects on the nonlinear collapse of the VUDF model, and compare its result to $\\Lambda CDM$ model. The analyzed results show that, within the spherical top-hat collapse framework, larger values of $\\alpha$ and smaller values of $\\zeta_{0}$ make the s","authors_text":"Lixin Xu, Wei Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-07T04:48:24Z","title":"Spherical top-hat Collapse of a Viscous Unified Dark Fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1270","kind":"arxiv","version":6},"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:c71de71f22d08b637122f9162fdb4dd50a381e787072e90eb15c996d1c2f7a9d","target":"record","created_at":"2026-05-18T02:52:23Z","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":"a4dc8a37df429d6b6f5deb9ba872fd076a7bde393f44760599680e8561199ad3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-07T04:48:24Z","title_canon_sha256":"4c835dd703951e9322b88a0c36c477079f1851d6d3cb83684d32390b023da7cb"},"schema_version":"1.0","source":{"id":"1401.1270","kind":"arxiv","version":6}},"canonical_sha256":"14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c","first_computed_at":"2026-05-18T02:52:23.281097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:23.281097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ojzr71PoTB5BApWsYOPrf2AIJZWjiOGzIL6BC6NTSxMkQ5Y0sRIpQaBz2SUZuujBTtDmVzqkdTg2UiTJsHlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:23.282117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1270","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c71de71f22d08b637122f9162fdb4dd50a381e787072e90eb15c996d1c2f7a9d","sha256:047f1c77a95dbc00bb17eb43c4830303b9362933f574920562a6fc59fab102e2"],"state_sha256":"bdbcd2fa523325df79df7ead4238fb91ae55d1c115e23baa5c3054e12e3b7e33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9AIepj4lOtiOs2H3OqhGtZKK0q4OPJ2DCHhwrutkoIGOJn/MFKZzywpAhGTbrBYu8cnVTVa2Fq+lSBIP+l2ZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:23:29.755953Z","bundle_sha256":"680d60df73ab95bb454c7bd7701aa0533176f202086a006fd613329f581a23cc"}}