{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:ER4VWMLK5BBBLFQY3HCDNP53D7","short_pith_number":"pith:ER4VWMLK","canonical_record":{"source":{"id":"astro-ph/9709217","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-09-23T07:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"5d2a53a8032996c33710eccbc72c9317bfdf6c73453e43ff3ea1d1e98d55e65e","abstract_canon_sha256":"b08a330876e752b6cbdc4ae4dccd5c333871022e152c80a851f57be5bb807dc4"},"schema_version":"1.0"},"canonical_sha256":"24795b316ae842159618d9c436bfbb1fcd2f2a43a319af24d2537d1af66ae588","source":{"kind":"arxiv","id":"astro-ph/9709217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9709217","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9709217v1","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9709217","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"pith_short_12","alias_value":"ER4VWMLK5BBB","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"ER4VWMLK5BBBLFQY","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"ER4VWMLK","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:ER4VWMLK5BBBLFQY3HCDNP53D7","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9709217","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-09-23T07:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"5d2a53a8032996c33710eccbc72c9317bfdf6c73453e43ff3ea1d1e98d55e65e","abstract_canon_sha256":"b08a330876e752b6cbdc4ae4dccd5c333871022e152c80a851f57be5bb807dc4"},"schema_version":"1.0"},"canonical_sha256":"24795b316ae842159618d9c436bfbb1fcd2f2a43a319af24d2537d1af66ae588","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:16.727488Z","signature_b64":"ruep+EYqO+8fgtbZy/cVfHwlKEvKeokfsszle0GA9B89xt47geYz9WPM0vmEKrHaYIdbb7rzfcNuf+VqovhMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24795b316ae842159618d9c436bfbb1fcd2f2a43a319af24d2537d1af66ae588","last_reissued_at":"2026-05-18T01:40:16.726787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:16.726787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9709217","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":"2026-05-18T01:40:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Vl6rGIpXvwSByGrvv6PF9EVNFSElmN56Tn4kLbmnjbKPGgH2A+WYQirsxr7aLJ7qndN3W9PUnFZI5T/uGK2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:50:06.549176Z"},"content_sha256":"2fedfb7cd651384d8b26be0aacb3e40cf0e5c02f72b20070d3d2d4d55b8898d8","schema_version":"1.0","event_id":"sha256:2fedfb7cd651384d8b26be0aacb3e40cf0e5c02f72b20070d3d2d4d55b8898d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:ER4VWMLK5BBBLFQY3HCDNP53D7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Keplerian Rotation Curves of Galaxies","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Mareki Honma, University of Tokyo), Yoshiaki Sofue (Institute of Astronomy","submitted_at":"1997-09-23T07:26:03Z","abstract_excerpt":"We propose a criterion for examining whether or not the uncertainty of the outer rotation curves is sufficiently small to distinguish a Keplerian rotation curve from flat ones. We have applied this criterion to both Keplerian and non-Keplerian rotation curves so far obtained, and investigated their relative fraction. We also studied the minimum extent of the dark halos indicated by non-Keplerian rotation curves using the criterion. We have found that one cannot rule out the possibility that a significant fraction of rotation curves become Keplerian within 10-times the disk scale length. If the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9709217","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":"2026-05-18T01:40:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuUURU/8njlivdCZFvUtLnpq0+gE7weJ93akOt/0vyvYwY6ruhWBjGHNnktiUxMhGHH8iGl+AT/pK2bzWCBWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:50:06.549559Z"},"content_sha256":"698547eda9f396e17460e524cd4a43a8561829254bcfe7f1cc764a7df2b855d3","schema_version":"1.0","event_id":"sha256:698547eda9f396e17460e524cd4a43a8561829254bcfe7f1cc764a7df2b855d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/bundle.json","state_url":"https://pith.science/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/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":"2026-06-01T17:50:06Z","links":{"resolver":"https://pith.science/pith/ER4VWMLK5BBBLFQY3HCDNP53D7","bundle":"https://pith.science/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/bundle.json","state":"https://pith.science/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ER4VWMLK5BBBLFQY3HCDNP53D7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:ER4VWMLK5BBBLFQY3HCDNP53D7","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":"b08a330876e752b6cbdc4ae4dccd5c333871022e152c80a851f57be5bb807dc4","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-09-23T07:26:03Z","title_canon_sha256":"5d2a53a8032996c33710eccbc72c9317bfdf6c73453e43ff3ea1d1e98d55e65e"},"schema_version":"1.0","source":{"id":"astro-ph/9709217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9709217","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9709217v1","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9709217","created_at":"2026-05-18T01:40:16Z"},{"alias_kind":"pith_short_12","alias_value":"ER4VWMLK5BBB","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"ER4VWMLK5BBBLFQY","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"ER4VWMLK","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:698547eda9f396e17460e524cd4a43a8561829254bcfe7f1cc764a7df2b855d3","target":"graph","created_at":"2026-05-18T01:40:16Z","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":"We propose a criterion for examining whether or not the uncertainty of the outer rotation curves is sufficiently small to distinguish a Keplerian rotation curve from flat ones. We have applied this criterion to both Keplerian and non-Keplerian rotation curves so far obtained, and investigated their relative fraction. We also studied the minimum extent of the dark halos indicated by non-Keplerian rotation curves using the criterion. We have found that one cannot rule out the possibility that a significant fraction of rotation curves become Keplerian within 10-times the disk scale length. If the","authors_text":"Mareki Honma, University of Tokyo), Yoshiaki Sofue (Institute of Astronomy","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1997-09-23T07:26:03Z","title":"On the Keplerian Rotation Curves of Galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9709217","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":"sha256:2fedfb7cd651384d8b26be0aacb3e40cf0e5c02f72b20070d3d2d4d55b8898d8","target":"record","created_at":"2026-05-18T01:40:16Z","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":"b08a330876e752b6cbdc4ae4dccd5c333871022e152c80a851f57be5bb807dc4","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-09-23T07:26:03Z","title_canon_sha256":"5d2a53a8032996c33710eccbc72c9317bfdf6c73453e43ff3ea1d1e98d55e65e"},"schema_version":"1.0","source":{"id":"astro-ph/9709217","kind":"arxiv","version":1}},"canonical_sha256":"24795b316ae842159618d9c436bfbb1fcd2f2a43a319af24d2537d1af66ae588","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24795b316ae842159618d9c436bfbb1fcd2f2a43a319af24d2537d1af66ae588","first_computed_at":"2026-05-18T01:40:16.726787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:16.726787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ruep+EYqO+8fgtbZy/cVfHwlKEvKeokfsszle0GA9B89xt47geYz9WPM0vmEKrHaYIdbb7rzfcNuf+VqovhMAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:16.727488Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9709217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fedfb7cd651384d8b26be0aacb3e40cf0e5c02f72b20070d3d2d4d55b8898d8","sha256:698547eda9f396e17460e524cd4a43a8561829254bcfe7f1cc764a7df2b855d3"],"state_sha256":"2282f6b08946710fb7ba8011e8f402097489c4cb0979fcf33a9fcd3bc74706f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kbilWTi+MwFuObDE0GT/Kdt90JA+8yp3LAEpAPjWmQN/+Thb8Eob7ZgANbH16jE2xUxu5og2oDVs1OuWqxCkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:50:06.551915Z","bundle_sha256":"62638f1a820f792f19b57d1710a9f3016206ddbae132074db0b2d6cbdfb18c83"}}