{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7MNEOQ5SMD4HJKT2GJQK67UMUC","short_pith_number":"pith:7MNEOQ5S","canonical_record":{"source":{"id":"1206.6788","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-06-28T18:28:45Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"1c5db631a2e8542c44b32942d74b3d73630608c7731472030a64d72bf9508efc","abstract_canon_sha256":"00fa03214c615589f9657c42464ab20b30f9e3f1f71dec8816d6dbc036c58be2"},"schema_version":"1.0"},"canonical_sha256":"fb1a4743b260f874aa7a3260af7e8ca0b5386a7e70e32a699dd74fa95525347d","source":{"kind":"arxiv","id":"1206.6788","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6788","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6788v2","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6788","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"7MNEOQ5SMD4H","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MNEOQ5SMD4HJKT2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MNEOQ5S","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7MNEOQ5SMD4HJKT2GJQK67UMUC","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6788","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-06-28T18:28:45Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"1c5db631a2e8542c44b32942d74b3d73630608c7731472030a64d72bf9508efc","abstract_canon_sha256":"00fa03214c615589f9657c42464ab20b30f9e3f1f71dec8816d6dbc036c58be2"},"schema_version":"1.0"},"canonical_sha256":"fb1a4743b260f874aa7a3260af7e8ca0b5386a7e70e32a699dd74fa95525347d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:45.177339Z","signature_b64":"RlN9AzjZPlfR1xeXMLKa3ZN/TRx9kAbvMc19fBvQjJD1QeHlCeiJj0Z1w33zEIkJdNhSjgVa7jZ7+YSK1QmHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb1a4743b260f874aa7a3260af7e8ca0b5386a7e70e32a699dd74fa95525347d","last_reissued_at":"2026-05-18T02:59:45.176258Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:45.176258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6788","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":"2026-05-18T02:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZH9zlyEj5ZAWY6ntueOTFpnMY31JHZtcuxlTLwsyaHj4ZcK4A7YwqO8RkWpA4XybmRl5KVi/Y6rzLGKs3CjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:54:26.346707Z"},"content_sha256":"d14c13440ec9a180c2664d768d50bb2580f071b5c11b5318804f0b684dcfc2b0","schema_version":"1.0","event_id":"sha256:d14c13440ec9a180c2664d768d50bb2580f071b5c11b5318804f0b684dcfc2b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7MNEOQ5SMD4HJKT2GJQK67UMUC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the galactic rotation curves problem within an axisymmetric approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"astro-ph.GA","authors_text":"Alfredo Herrera-Aguilar, Cesar Alvarez, Eli Santos, Olindo Corradini, Ulises Nucamendi","submitted_at":"2012-06-28T18:28:45Z","abstract_excerpt":"In U. Nucamendi et al. Phys. Rev. D63 (2001) 125016 and K. Lake, Phys. Rev. Lett. 92 (2004) 051101 it has been shown that galactic potentials can be kinematically linked to the observed red/blue shifts of the corresponding galactic rotation curves under a minimal set of assumptions: the emitted photons come from stable timelike circular geodesic orbits of stars in a static spherically symmetric gravitational field, and propagate to us along null geodesics. It is remarkable that this relation can be established without appealing at all to a concrete theory of gravitational interaction. Here we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6788","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":"2026-05-18T02:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YT+1Wj53jFYWD5okQRuC2zqvbC8SXhh1/9W+t/tp4NvXTyGl4l1OYp1J6vqI5LC2F4GdDCpynDhi+HvyWBY5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:54:26.347060Z"},"content_sha256":"c438cbaf0df284146d130f3550d8920a0ea3b22eb42bb65b9f52f485a9874d1d","schema_version":"1.0","event_id":"sha256:c438cbaf0df284146d130f3550d8920a0ea3b22eb42bb65b9f52f485a9874d1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/bundle.json","state_url":"https://pith.science/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/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":"2026-06-04T13:54:26Z","links":{"resolver":"https://pith.science/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC","bundle":"https://pith.science/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/bundle.json","state":"https://pith.science/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MNEOQ5SMD4HJKT2GJQK67UMUC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7MNEOQ5SMD4HJKT2GJQK67UMUC","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":"00fa03214c615589f9657c42464ab20b30f9e3f1f71dec8816d6dbc036c58be2","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-06-28T18:28:45Z","title_canon_sha256":"1c5db631a2e8542c44b32942d74b3d73630608c7731472030a64d72bf9508efc"},"schema_version":"1.0","source":{"id":"1206.6788","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6788","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6788v2","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6788","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"7MNEOQ5SMD4H","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MNEOQ5SMD4HJKT2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MNEOQ5S","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:c438cbaf0df284146d130f3550d8920a0ea3b22eb42bb65b9f52f485a9874d1d","target":"graph","created_at":"2026-05-18T02:59:45Z","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 U. Nucamendi et al. Phys. Rev. D63 (2001) 125016 and K. Lake, Phys. Rev. Lett. 92 (2004) 051101 it has been shown that galactic potentials can be kinematically linked to the observed red/blue shifts of the corresponding galactic rotation curves under a minimal set of assumptions: the emitted photons come from stable timelike circular geodesic orbits of stars in a static spherically symmetric gravitational field, and propagate to us along null geodesics. It is remarkable that this relation can be established without appealing at all to a concrete theory of gravitational interaction. Here we ","authors_text":"Alfredo Herrera-Aguilar, Cesar Alvarez, Eli Santos, Olindo Corradini, Ulises Nucamendi","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-06-28T18:28:45Z","title":"On the galactic rotation curves problem within an axisymmetric approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6788","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:d14c13440ec9a180c2664d768d50bb2580f071b5c11b5318804f0b684dcfc2b0","target":"record","created_at":"2026-05-18T02:59:45Z","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":"00fa03214c615589f9657c42464ab20b30f9e3f1f71dec8816d6dbc036c58be2","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-06-28T18:28:45Z","title_canon_sha256":"1c5db631a2e8542c44b32942d74b3d73630608c7731472030a64d72bf9508efc"},"schema_version":"1.0","source":{"id":"1206.6788","kind":"arxiv","version":2}},"canonical_sha256":"fb1a4743b260f874aa7a3260af7e8ca0b5386a7e70e32a699dd74fa95525347d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb1a4743b260f874aa7a3260af7e8ca0b5386a7e70e32a699dd74fa95525347d","first_computed_at":"2026-05-18T02:59:45.176258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:45.176258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RlN9AzjZPlfR1xeXMLKa3ZN/TRx9kAbvMc19fBvQjJD1QeHlCeiJj0Z1w33zEIkJdNhSjgVa7jZ7+YSK1QmHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:45.177339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6788","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d14c13440ec9a180c2664d768d50bb2580f071b5c11b5318804f0b684dcfc2b0","sha256:c438cbaf0df284146d130f3550d8920a0ea3b22eb42bb65b9f52f485a9874d1d"],"state_sha256":"29b956fd10812f7d2efa2d34dc74c3b20ec9ffee845c81c3bb55cf218b1493d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"44/b0MyLXVfiHb15CKoJxmQLpdfuG2qsVKBdeXkNSybYLneowNfALWdmozAh8grl7CVsv92CxF/cSQYVPthODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:54:26.349134Z","bundle_sha256":"c563cc8a77515e871a6139b36c09f115c4e5d0263c22bcb75ee3db6c0a1d9fb5"}}