{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SIX7VCMK4PTLLCKL4XES6BVEGN","short_pith_number":"pith:SIX7VCMK","canonical_record":{"source":{"id":"1511.00699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T21:00:56Z","cross_cats_sorted":[],"title_canon_sha256":"effbd3543953091d71f3dcbcea9b4c8a71682a9d1b3f2daba4a1b855476a1549","abstract_canon_sha256":"9fcb332a6e49f7496640b9c3dfaa8118e63ba6196508deee40f68efcad86ce9e"},"schema_version":"1.0"},"canonical_sha256":"922ffa898ae3e6b5894be5c92f06a4336871655e3b9a3f2f0c69d571ede0b1e3","source":{"kind":"arxiv","id":"1511.00699","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00699","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00699v2","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00699","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"pith_short_12","alias_value":"SIX7VCMK4PTL","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SIX7VCMK4PTLLCKL","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SIX7VCMK","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SIX7VCMK4PTLLCKL4XES6BVEGN","target":"record","payload":{"canonical_record":{"source":{"id":"1511.00699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T21:00:56Z","cross_cats_sorted":[],"title_canon_sha256":"effbd3543953091d71f3dcbcea9b4c8a71682a9d1b3f2daba4a1b855476a1549","abstract_canon_sha256":"9fcb332a6e49f7496640b9c3dfaa8118e63ba6196508deee40f68efcad86ce9e"},"schema_version":"1.0"},"canonical_sha256":"922ffa898ae3e6b5894be5c92f06a4336871655e3b9a3f2f0c69d571ede0b1e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:09.111980Z","signature_b64":"0X5F8eHykMIRCL7b7o3NFjD8D8Mg72B6R31gCbu6JEgp4IzfsLg8p0TK1ngvkE4QFnXfVt0B5bLC1GNX/aXiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"922ffa898ae3e6b5894be5c92f06a4336871655e3b9a3f2f0c69d571ede0b1e3","last_reissued_at":"2026-05-18T01:20:09.111445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:09.111445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.00699","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":"2026-05-18T01:20:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRYmpeODRLUw5rQYtNWrBVlJdjV6xFw7iFxJK67DHVgrcOLNeifrfwAwBA2l3Fc7xtRwo4LDT0Rk2gLR4uR4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:44.996184Z"},"content_sha256":"e4028ce4f61e7b674ecefa0bdbce66b86c069dcd545c721673a117d15b0fcd44","schema_version":"1.0","event_id":"sha256:e4028ce4f61e7b674ecefa0bdbce66b86c069dcd545c721673a117d15b0fcd44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SIX7VCMK4PTLLCKL4XES6BVEGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Paczynski-Wiita-like potential for any static spherical black hole in metric theories of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Marianne Lapierre-Leonard, Shawn D. Belknap-Keet, Valerio Faraoni","submitted_at":"2015-11-02T21:00:56Z","abstract_excerpt":"The pseudo-Newtonian potential of Paczynski and Wiita for particles orbiting a Schwarzschild black hole is generalized to arbitrary static and spherically symmetric spacetimes, including black hole solutions of alternative theories of gravity. In addition to being more general, our prescription differs substantially from a previous one in the literature, showing that even the association of a pseudo-Newtonian potential with a simple black hole metric is not unique."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00699","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":"2026-05-18T01:20:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KB/qzyLA6LLevciG9vyP5PYUzg8nv/1kyfKXqt4L2kKGQg3kJEs3GXijWKD6HVfaUQeoDlCGF1Vcz3UVMRniBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:28:44.996610Z"},"content_sha256":"a13f2a204d446feb768cbe57d440f7ef6b86c32745e2d4b8d0f459fd08f7045c","schema_version":"1.0","event_id":"sha256:a13f2a204d446feb768cbe57d440f7ef6b86c32745e2d4b8d0f459fd08f7045c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/bundle.json","state_url":"https://pith.science/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/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":"2026-06-02T14:28:44Z","links":{"resolver":"https://pith.science/pith/SIX7VCMK4PTLLCKL4XES6BVEGN","bundle":"https://pith.science/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/bundle.json","state":"https://pith.science/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIX7VCMK4PTLLCKL4XES6BVEGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SIX7VCMK4PTLLCKL4XES6BVEGN","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":"9fcb332a6e49f7496640b9c3dfaa8118e63ba6196508deee40f68efcad86ce9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T21:00:56Z","title_canon_sha256":"effbd3543953091d71f3dcbcea9b4c8a71682a9d1b3f2daba4a1b855476a1549"},"schema_version":"1.0","source":{"id":"1511.00699","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00699","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00699v2","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00699","created_at":"2026-05-18T01:20:09Z"},{"alias_kind":"pith_short_12","alias_value":"SIX7VCMK4PTL","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SIX7VCMK4PTLLCKL","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SIX7VCMK","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:a13f2a204d446feb768cbe57d440f7ef6b86c32745e2d4b8d0f459fd08f7045c","target":"graph","created_at":"2026-05-18T01:20:09Z","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":"The pseudo-Newtonian potential of Paczynski and Wiita for particles orbiting a Schwarzschild black hole is generalized to arbitrary static and spherically symmetric spacetimes, including black hole solutions of alternative theories of gravity. In addition to being more general, our prescription differs substantially from a previous one in the literature, showing that even the association of a pseudo-Newtonian potential with a simple black hole metric is not unique.","authors_text":"Marianne Lapierre-Leonard, Shawn D. Belknap-Keet, Valerio Faraoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T21:00:56Z","title":"Paczynski-Wiita-like potential for any static spherical black hole in metric theories of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00699","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:e4028ce4f61e7b674ecefa0bdbce66b86c069dcd545c721673a117d15b0fcd44","target":"record","created_at":"2026-05-18T01:20:09Z","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":"9fcb332a6e49f7496640b9c3dfaa8118e63ba6196508deee40f68efcad86ce9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-02T21:00:56Z","title_canon_sha256":"effbd3543953091d71f3dcbcea9b4c8a71682a9d1b3f2daba4a1b855476a1549"},"schema_version":"1.0","source":{"id":"1511.00699","kind":"arxiv","version":2}},"canonical_sha256":"922ffa898ae3e6b5894be5c92f06a4336871655e3b9a3f2f0c69d571ede0b1e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922ffa898ae3e6b5894be5c92f06a4336871655e3b9a3f2f0c69d571ede0b1e3","first_computed_at":"2026-05-18T01:20:09.111445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:09.111445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0X5F8eHykMIRCL7b7o3NFjD8D8Mg72B6R31gCbu6JEgp4IzfsLg8p0TK1ngvkE4QFnXfVt0B5bLC1GNX/aXiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:09.111980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00699","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4028ce4f61e7b674ecefa0bdbce66b86c069dcd545c721673a117d15b0fcd44","sha256:a13f2a204d446feb768cbe57d440f7ef6b86c32745e2d4b8d0f459fd08f7045c"],"state_sha256":"63438709643a495160449271369488e4388c1fd051ee89a5f5e2bedafa0af5c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A7XYFUjN390wiTtPqcJLxFhm2MvjxM8YfKbnj2zOJKFSP1E6bEj7kOR0hQSwcKkBTGr6np0Ub11rjr+EoW1KAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:28:44.998729Z","bundle_sha256":"2a9034116c0ce6a110824cfed4d51cc9b2d2137b7e59423df45bbae43ddb311c"}}