{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:P6EE5WKHRQUR2KAEHQXK7ZTKUP","short_pith_number":"pith:P6EE5WKH","canonical_record":{"source":{"id":"1509.06413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-09-21T22:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"066e8c5f60a0306ac02e283e0aecfbcd65b5edc6a859e82a52a4c8b68a4ff2dd","abstract_canon_sha256":"b06049410cf7c2987bf089097bc3485c13e0ee0da33aa460a7a6889288969b7d"},"schema_version":"1.0"},"canonical_sha256":"7f884ed9478c291d28043c2eafe66aa3e4412671ab65d74dec9024699f38432e","source":{"kind":"arxiv","id":"1509.06413","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06413","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06413v2","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06413","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"P6EE5WKHRQUR","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P6EE5WKHRQUR2KAE","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P6EE5WKH","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:P6EE5WKHRQUR2KAEHQXK7ZTKUP","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-09-21T22:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"066e8c5f60a0306ac02e283e0aecfbcd65b5edc6a859e82a52a4c8b68a4ff2dd","abstract_canon_sha256":"b06049410cf7c2987bf089097bc3485c13e0ee0da33aa460a7a6889288969b7d"},"schema_version":"1.0"},"canonical_sha256":"7f884ed9478c291d28043c2eafe66aa3e4412671ab65d74dec9024699f38432e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:57.222548Z","signature_b64":"cosWZ0bnU4jH2vDIozls4REmnN8VGP/hHEL+h0TDUxfJKuaGl5IZiwgQ3fhFK+KQRc4hW8ZXvPClv5ehSuY8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f884ed9478c291d28043c2eafe66aa3e4412671ab65d74dec9024699f38432e","last_reissued_at":"2026-05-18T01:27:57.221908Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:57.221908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06413","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":"2026-05-18T01:27:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W5y0kD5XL2M6zp5SSaz8HxaVPClmmlFHkZ3obgmZVZu8PiXUVtuIPetMbW7tXCvdWPESsQbTai1hytlgFUQvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:40:08.046637Z"},"content_sha256":"d4da13a70826cde33411cb4ac4c45f4e67319ade372125ca13f8ff6e5840f7e9","schema_version":"1.0","event_id":"sha256:d4da13a70826cde33411cb4ac4c45f4e67319ade372125ca13f8ff6e5840f7e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:P6EE5WKHRQUR2KAEHQXK7ZTKUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constraining cosmology with pairwise velocity estimator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Min Li, Ping He, Yin-Zhe Ma","submitted_at":"2015-09-21T22:13:11Z","abstract_excerpt":"In this paper, we develop a full statistical method for the pairwise velocity estimator previously proposed, and apply Cosmicflows-2 catalogue to this method to constrain cosmology. We first calculate the covariance matrix for line-of-sight velocities for a given catalogue, and then simulate the mock full-sky surveys from it, and then calculate the variance for the pairwise velocity field. By applying the $8315$ independent galaxy samples and compressed $5224$ group samples from Cosmicflows-2 catalogue to this statistical method, we find that the joint constraint on $\\Omega^{0.6}_{\\rm m}h$ and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06413","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":"2026-05-18T01:27:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hL4WgPj6FV6iE5Tt3GXP2LrFs7e5CtKZLRufSS5hpN5u0INF+7oLMnp8qmCfpH9OupiDkUxPlovJQRHPe4WrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:40:08.047363Z"},"content_sha256":"67a877ab996e13b2793c27aa1ff4d08959819a5dde3f756471dc94e0a6b58699","schema_version":"1.0","event_id":"sha256:67a877ab996e13b2793c27aa1ff4d08959819a5dde3f756471dc94e0a6b58699"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/bundle.json","state_url":"https://pith.science/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/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":"2026-06-10T12:40:08Z","links":{"resolver":"https://pith.science/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP","bundle":"https://pith.science/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/bundle.json","state":"https://pith.science/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6EE5WKHRQUR2KAEHQXK7ZTKUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P6EE5WKHRQUR2KAEHQXK7ZTKUP","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":"b06049410cf7c2987bf089097bc3485c13e0ee0da33aa460a7a6889288969b7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-09-21T22:13:11Z","title_canon_sha256":"066e8c5f60a0306ac02e283e0aecfbcd65b5edc6a859e82a52a4c8b68a4ff2dd"},"schema_version":"1.0","source":{"id":"1509.06413","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06413","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06413v2","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06413","created_at":"2026-05-18T01:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"P6EE5WKHRQUR","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P6EE5WKHRQUR2KAE","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P6EE5WKH","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:67a877ab996e13b2793c27aa1ff4d08959819a5dde3f756471dc94e0a6b58699","target":"graph","created_at":"2026-05-18T01:27:57Z","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 develop a full statistical method for the pairwise velocity estimator previously proposed, and apply Cosmicflows-2 catalogue to this method to constrain cosmology. We first calculate the covariance matrix for line-of-sight velocities for a given catalogue, and then simulate the mock full-sky surveys from it, and then calculate the variance for the pairwise velocity field. By applying the $8315$ independent galaxy samples and compressed $5224$ group samples from Cosmicflows-2 catalogue to this statistical method, we find that the joint constraint on $\\Omega^{0.6}_{\\rm m}h$ and","authors_text":"Min Li, Ping He, Yin-Zhe Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-09-21T22:13:11Z","title":"Constraining cosmology with pairwise velocity estimator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06413","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:d4da13a70826cde33411cb4ac4c45f4e67319ade372125ca13f8ff6e5840f7e9","target":"record","created_at":"2026-05-18T01:27:57Z","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":"b06049410cf7c2987bf089097bc3485c13e0ee0da33aa460a7a6889288969b7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-09-21T22:13:11Z","title_canon_sha256":"066e8c5f60a0306ac02e283e0aecfbcd65b5edc6a859e82a52a4c8b68a4ff2dd"},"schema_version":"1.0","source":{"id":"1509.06413","kind":"arxiv","version":2}},"canonical_sha256":"7f884ed9478c291d28043c2eafe66aa3e4412671ab65d74dec9024699f38432e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f884ed9478c291d28043c2eafe66aa3e4412671ab65d74dec9024699f38432e","first_computed_at":"2026-05-18T01:27:57.221908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:57.221908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cosWZ0bnU4jH2vDIozls4REmnN8VGP/hHEL+h0TDUxfJKuaGl5IZiwgQ3fhFK+KQRc4hW8ZXvPClv5ehSuY8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:57.222548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06413","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4da13a70826cde33411cb4ac4c45f4e67319ade372125ca13f8ff6e5840f7e9","sha256:67a877ab996e13b2793c27aa1ff4d08959819a5dde3f756471dc94e0a6b58699"],"state_sha256":"3d2ad58500aa2502aa07cc407920bb458966d9e3a8c09852be03b835bcac2a74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t4akoo9zIlFNWam8fs0lLgcCYfraI29Mil1ueKDcQTTJZ5EPlkKOyRQDInJ9Rv3Jz7N8uk6JLKty9B0ho9OdAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:40:08.051284Z","bundle_sha256":"c94b181ba99c862ce5192163a29c3df9eec75a83dcfa981e840bbe2c7859cce8"}}