{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:D65MX6SAPTWFE2HJC4FGWBB63B","short_pith_number":"pith:D65MX6SA","canonical_record":{"source":{"id":"1006.1463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-08T06:40:55Z","cross_cats_sorted":[],"title_canon_sha256":"b0cb9ddf7970c33467e2b840a59af2b2f2309fd4d32a6512d3c86f9abb72d1b9","abstract_canon_sha256":"65e6840fe0384780f921b81d5bb7922de2610c81131db201bcdb1eb694305a50"},"schema_version":"1.0"},"canonical_sha256":"1fbacbfa407cec5268e9170a6b043ed841a3ff6382063a18411d7ab791c2f06d","source":{"kind":"arxiv","id":"1006.1463","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1463","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1463v2","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1463","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"pith_short_12","alias_value":"D65MX6SAPTWF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D65MX6SAPTWFE2HJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D65MX6SA","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:D65MX6SAPTWFE2HJC4FGWBB63B","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-08T06:40:55Z","cross_cats_sorted":[],"title_canon_sha256":"b0cb9ddf7970c33467e2b840a59af2b2f2309fd4d32a6512d3c86f9abb72d1b9","abstract_canon_sha256":"65e6840fe0384780f921b81d5bb7922de2610c81131db201bcdb1eb694305a50"},"schema_version":"1.0"},"canonical_sha256":"1fbacbfa407cec5268e9170a6b043ed841a3ff6382063a18411d7ab791c2f06d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:56.294036Z","signature_b64":"BSY2yqDMav4hCnt72kqlgS6o3EXIUXk07egmiWgxv1Gyj6sXQPNVlhBsnnbmjOaRI4FuS5dNDW7xBw38G1FVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fbacbfa407cec5268e9170a6b043ed841a3ff6382063a18411d7ab791c2f06d","last_reissued_at":"2026-05-18T02:06:56.293436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:56.293436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1463","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":"2026-05-18T02:06:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmywzxwvDfuTjcElK507CZ3TenOOSEVLWrfh/OyKIjfJwAWehLzKo2NK3+kphE8IvDAF1ZmEovUVigCfSQPQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:05:11.080773Z"},"content_sha256":"ae22d58660bd4ef175e3d42602a9c7cd4993ef56da2ce9858fdee21fb248b298","schema_version":"1.0","event_id":"sha256:ae22d58660bd4ef175e3d42602a9c7cd4993ef56da2ce9858fdee21fb248b298"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:D65MX6SAPTWFE2HJC4FGWBB63B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the self-similar motion of a gravitating Chaplygin fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"R. Myrzakulov, V. Dzhunushaliev, V. Folomeev","submitted_at":"2010-06-08T06:40:55Z","abstract_excerpt":"A self-similar motion of the generalized Chaplygin gas in its own gravitational field is considered. The problem is being studied numerically and analytically (in the limiting cases). It is shown that the model under consideration admits only expanding solutions. As the astrophysical application of the model, a description of rotating curves of spiral galaxies is suggested by using the analytical solutions obtained in the paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1463","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":"2026-05-18T02:06:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IE715pKSjqeG28JSJQwcNuI1CzlD1tBreiD2Z/a0vM3D78oRWokl4WNeNmHSYH3FBhiGYG7a2kzYrIOrbaCSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:05:11.081464Z"},"content_sha256":"6118aec9849ae6061af02d15c2ef6e0e728caf576ef9d93fafffbd74a929f351","schema_version":"1.0","event_id":"sha256:6118aec9849ae6061af02d15c2ef6e0e728caf576ef9d93fafffbd74a929f351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D65MX6SAPTWFE2HJC4FGWBB63B/bundle.json","state_url":"https://pith.science/pith/D65MX6SAPTWFE2HJC4FGWBB63B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D65MX6SAPTWFE2HJC4FGWBB63B/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":"2026-05-31T16:05:11Z","links":{"resolver":"https://pith.science/pith/D65MX6SAPTWFE2HJC4FGWBB63B","bundle":"https://pith.science/pith/D65MX6SAPTWFE2HJC4FGWBB63B/bundle.json","state":"https://pith.science/pith/D65MX6SAPTWFE2HJC4FGWBB63B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D65MX6SAPTWFE2HJC4FGWBB63B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:D65MX6SAPTWFE2HJC4FGWBB63B","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":"65e6840fe0384780f921b81d5bb7922de2610c81131db201bcdb1eb694305a50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-08T06:40:55Z","title_canon_sha256":"b0cb9ddf7970c33467e2b840a59af2b2f2309fd4d32a6512d3c86f9abb72d1b9"},"schema_version":"1.0","source":{"id":"1006.1463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1463","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1463v2","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1463","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"pith_short_12","alias_value":"D65MX6SAPTWF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D65MX6SAPTWFE2HJ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D65MX6SA","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:6118aec9849ae6061af02d15c2ef6e0e728caf576ef9d93fafffbd74a929f351","target":"graph","created_at":"2026-05-18T02:06:56Z","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":"A self-similar motion of the generalized Chaplygin gas in its own gravitational field is considered. The problem is being studied numerically and analytically (in the limiting cases). It is shown that the model under consideration admits only expanding solutions. As the astrophysical application of the model, a description of rotating curves of spiral galaxies is suggested by using the analytical solutions obtained in the paper.","authors_text":"R. Myrzakulov, V. Dzhunushaliev, V. Folomeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-08T06:40:55Z","title":"On the self-similar motion of a gravitating Chaplygin fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1463","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:ae22d58660bd4ef175e3d42602a9c7cd4993ef56da2ce9858fdee21fb248b298","target":"record","created_at":"2026-05-18T02:06:56Z","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":"65e6840fe0384780f921b81d5bb7922de2610c81131db201bcdb1eb694305a50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-06-08T06:40:55Z","title_canon_sha256":"b0cb9ddf7970c33467e2b840a59af2b2f2309fd4d32a6512d3c86f9abb72d1b9"},"schema_version":"1.0","source":{"id":"1006.1463","kind":"arxiv","version":2}},"canonical_sha256":"1fbacbfa407cec5268e9170a6b043ed841a3ff6382063a18411d7ab791c2f06d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fbacbfa407cec5268e9170a6b043ed841a3ff6382063a18411d7ab791c2f06d","first_computed_at":"2026-05-18T02:06:56.293436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:56.293436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BSY2yqDMav4hCnt72kqlgS6o3EXIUXk07egmiWgxv1Gyj6sXQPNVlhBsnnbmjOaRI4FuS5dNDW7xBw38G1FVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:56.294036Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae22d58660bd4ef175e3d42602a9c7cd4993ef56da2ce9858fdee21fb248b298","sha256:6118aec9849ae6061af02d15c2ef6e0e728caf576ef9d93fafffbd74a929f351"],"state_sha256":"114ce7288fabd485d468360a2c37fbcd2a39d35676c96c79afe8fa041fd6b64e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xb19eHQY7oP6UXThr7AJaH1tMB3argCM1SUpcf2X5yXHry2fP8Ax0W3bqDrw6BIkOPzG3Fhh+0Ig7Wkx5vteDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:05:11.085274Z","bundle_sha256":"022d5d7d8be4592727925af96eeedc79651aa1c22a0552802589edbac1a177b8"}}