{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:7N355BJNWN6IIMHVZ4IGU44A6S","short_pith_number":"pith:7N355BJN","canonical_record":{"source":{"id":"gr-qc/0208080","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-26T20:13:29Z","cross_cats_sorted":[],"title_canon_sha256":"e41efba7d6740714a4c8d56b557d6d6954aee225582c419651bb6d9fb778013a","abstract_canon_sha256":"91782385c160e42ca5da780e8bfc0b251f34751f50664de612dd3819d1c2fe19"},"schema_version":"1.0"},"canonical_sha256":"fb77de852db37c8430f5cf106a7380f4afed9e8658c4d8289764286b8103d265","source":{"kind":"arxiv","id":"gr-qc/0208080","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0208080","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0208080v1","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0208080","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"7N355BJNWN6I","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7N355BJNWN6IIMHV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7N355BJN","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:7N355BJNWN6IIMHVZ4IGU44A6S","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0208080","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-26T20:13:29Z","cross_cats_sorted":[],"title_canon_sha256":"e41efba7d6740714a4c8d56b557d6d6954aee225582c419651bb6d9fb778013a","abstract_canon_sha256":"91782385c160e42ca5da780e8bfc0b251f34751f50664de612dd3819d1c2fe19"},"schema_version":"1.0"},"canonical_sha256":"fb77de852db37c8430f5cf106a7380f4afed9e8658c4d8289764286b8103d265","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:30.769175Z","signature_b64":"GqpcOASdxhh+QkCVZWvuDNGLDNAPcREyXFhbrROd3EA7f36lTCdlnq+CGgxKYsyIR87QAPu7tETjLjr4VdhkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb77de852db37c8430f5cf106a7380f4afed9e8658c4d8289764286b8103d265","last_reissued_at":"2026-05-18T02:37:30.768599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:30.768599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0208080","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AXFufIJ5vsmvhC/G6tDkK0/bys3a33FrVEVh9rMANrnBCBbOzz5HnhCFXiW2n9M8SkNkW3eoiCUfqDqGPSkVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:15:04.591779Z"},"content_sha256":"5ad68a92b779f4c300a47ccc237e98198e9b5452acbdc42ec87778010b413a91","schema_version":"1.0","event_id":"sha256:5ad68a92b779f4c300a47ccc237e98198e9b5452acbdc42ec87778010b413a91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:7N355BJNWN6IIMHVZ4IGU44A6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Potential flows in a core-dipole-shell system: numerical results","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Maximiliano Ujevic, Patricio S. Letelier","submitted_at":"2002-08-26T20:13:29Z","abstract_excerpt":"Numerical solutions for: the integral curves of the velocity field (streamlines), the density contours, and the accretion rate of a steady-state flow of an ideal fluid with p=K n^(gamma) equation of state orbiting in a core-dipole-shell system are presented. For 1 < gamma < 2, we found that the non-linear contribution appearing in the partial differential equation for the velocity potential has little effect in the form of the streamlines and density contour lines, but can be noticed in the density values. The study of several cases indicates that this appears to be the general situation. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0208080","kind":"arxiv","version":1},"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":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmvohHt7c1sWHswh00E7VXTXykOF8jySfLza0w4ydLyla2Ns+rZWniWKJzVDCj5CQ7fhijrWy1coxXqjS7ABDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:15:04.592512Z"},"content_sha256":"a3688ecf16c08c328e0bf0f7d26b8d00a983af211cafcc27abf8641cc530ff29","schema_version":"1.0","event_id":"sha256:a3688ecf16c08c328e0bf0f7d26b8d00a983af211cafcc27abf8641cc530ff29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7N355BJNWN6IIMHVZ4IGU44A6S/bundle.json","state_url":"https://pith.science/pith/7N355BJNWN6IIMHVZ4IGU44A6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7N355BJNWN6IIMHVZ4IGU44A6S/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":"2026-05-27T05:15:04Z","links":{"resolver":"https://pith.science/pith/7N355BJNWN6IIMHVZ4IGU44A6S","bundle":"https://pith.science/pith/7N355BJNWN6IIMHVZ4IGU44A6S/bundle.json","state":"https://pith.science/pith/7N355BJNWN6IIMHVZ4IGU44A6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7N355BJNWN6IIMHVZ4IGU44A6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:7N355BJNWN6IIMHVZ4IGU44A6S","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":"91782385c160e42ca5da780e8bfc0b251f34751f50664de612dd3819d1c2fe19","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-26T20:13:29Z","title_canon_sha256":"e41efba7d6740714a4c8d56b557d6d6954aee225582c419651bb6d9fb778013a"},"schema_version":"1.0","source":{"id":"gr-qc/0208080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0208080","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0208080v1","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0208080","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"7N355BJNWN6I","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7N355BJNWN6IIMHV","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7N355BJN","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:a3688ecf16c08c328e0bf0f7d26b8d00a983af211cafcc27abf8641cc530ff29","target":"graph","created_at":"2026-05-18T02:37:30Z","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":"Numerical solutions for: the integral curves of the velocity field (streamlines), the density contours, and the accretion rate of a steady-state flow of an ideal fluid with p=K n^(gamma) equation of state orbiting in a core-dipole-shell system are presented. For 1 < gamma < 2, we found that the non-linear contribution appearing in the partial differential equation for the velocity potential has little effect in the form of the streamlines and density contour lines, but can be noticed in the density values. The study of several cases indicates that this appears to be the general situation. The ","authors_text":"Maximiliano Ujevic, Patricio S. Letelier","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-08-26T20:13:29Z","title":"Potential flows in a core-dipole-shell system: numerical results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0208080","kind":"arxiv","version":1},"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":"sha256:5ad68a92b779f4c300a47ccc237e98198e9b5452acbdc42ec87778010b413a91","target":"record","created_at":"2026-05-18T02:37:30Z","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":"91782385c160e42ca5da780e8bfc0b251f34751f50664de612dd3819d1c2fe19","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-26T20:13:29Z","title_canon_sha256":"e41efba7d6740714a4c8d56b557d6d6954aee225582c419651bb6d9fb778013a"},"schema_version":"1.0","source":{"id":"gr-qc/0208080","kind":"arxiv","version":1}},"canonical_sha256":"fb77de852db37c8430f5cf106a7380f4afed9e8658c4d8289764286b8103d265","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb77de852db37c8430f5cf106a7380f4afed9e8658c4d8289764286b8103d265","first_computed_at":"2026-05-18T02:37:30.768599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:30.768599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GqpcOASdxhh+QkCVZWvuDNGLDNAPcREyXFhbrROd3EA7f36lTCdlnq+CGgxKYsyIR87QAPu7tETjLjr4VdhkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:30.769175Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0208080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ad68a92b779f4c300a47ccc237e98198e9b5452acbdc42ec87778010b413a91","sha256:a3688ecf16c08c328e0bf0f7d26b8d00a983af211cafcc27abf8641cc530ff29"],"state_sha256":"8b962f621316e4b3ec49a5814f9d28b8cba233fdd2615c55f2f351e81cad90fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+fwi60nl0c4Asba7n56DRyB1QTQrnGheL4vTSK9hsjWCleja4OD5OJdAMIYekDc/NO43a7K2dxKmGC/rpH3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:15:04.596368Z","bundle_sha256":"2f00b099e72c7b940d2fec5c749ead736faaf71a3392891c8f3a814cbe3e4e2d"}}