{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:U6DVMWNJGQIBQIGLKDL7I64ABA","short_pith_number":"pith:U6DVMWNJ","canonical_record":{"source":{"id":"1912.07609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T19:00:00Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"69c8192483570555fdecae27d8df0a3ed5267875f143a83405f41f090ac63e4e","abstract_canon_sha256":"21c4fea647798a24b268b7e5f2016e67a037095d711d45784780a1684c7f8ad7"},"schema_version":"1.0"},"canonical_sha256":"a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5","source":{"kind":"arxiv","id":"1912.07609","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.07609","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.07609v2","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.07609","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"U6DVMWNJGQIB","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_16","alias_value":"U6DVMWNJGQIBQIGL","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_8","alias_value":"U6DVMWNJ","created_at":"2026-07-05T00:46:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:U6DVMWNJGQIBQIGLKDL7I64ABA","target":"record","payload":{"canonical_record":{"source":{"id":"1912.07609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T19:00:00Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"69c8192483570555fdecae27d8df0a3ed5267875f143a83405f41f090ac63e4e","abstract_canon_sha256":"21c4fea647798a24b268b7e5f2016e67a037095d711d45784780a1684c7f8ad7"},"schema_version":"1.0"},"canonical_sha256":"a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:46:05.813069Z","signature_b64":"4qbIasFffBXKrabPTxA5uW7QNiExTdff7lxnajzyVBL3oO1ogd7U4rgNYGbhOZAF0IZCOKXv/Wkx9B3cuG/jBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5","last_reissued_at":"2026-07-05T00:46:05.812569Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:46:05.812569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.07609","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":"2026-07-05T00:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WAylty6avq5mus/o4iT1kk3tLemknVhNWGPC4mVpQ2SGiCUiMc48HgxBxxd6SXJSuxBC++UPLR+1CY/ih8CCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T18:52:12.298166Z"},"content_sha256":"6815dbea4caed0826e093d1e628a799a83ffd8872679b3400208a46050dc97c8","schema_version":"1.0","event_id":"sha256:6815dbea4caed0826e093d1e628a799a83ffd8872679b3400208a46050dc97c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:U6DVMWNJGQIBQIGLKDL7I64ABA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The location of the last stable orbit in Kerr spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Leo C. Stein, Niels Warburton","submitted_at":"2019-12-16T19:00:00Z","abstract_excerpt":"Black hole spacetimes, like the Kerr spacetime, admit both stable and plunging orbits, separated in parameter space by the separatrix. Determining the location of the separatrix is of fundamental interest in understanding black holes, and is of crucial importance for modeling extreme mass-ratio inspirals. Previous numerical approaches to locating the Kerr separatrix were not always efficient or stable across all of parameter space. In this paper we show that the Kerr separatrix is the zero set of a single polynomial in parameter space. This gives two main results. First, we thoroughly analyze "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.07609","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1912.07609/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIobvYNE9W+Z6rlQRv4+Yc1k62+cDxYgNiqJiI4+TGPbbU9AidcCrhpsfE4aHPA3SjSc0W2nVICa7+/KRHSPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T18:52:12.299074Z"},"content_sha256":"dc00debeb8dfd7350b6c89322f0493b78c872809e8b45b2d74f90f14e6932f0f","schema_version":"1.0","event_id":"sha256:dc00debeb8dfd7350b6c89322f0493b78c872809e8b45b2d74f90f14e6932f0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/bundle.json","state_url":"https://pith.science/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/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":"2026-07-31T18:52:12Z","links":{"resolver":"https://pith.science/pith/U6DVMWNJGQIBQIGLKDL7I64ABA","bundle":"https://pith.science/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/bundle.json","state":"https://pith.science/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6DVMWNJGQIBQIGLKDL7I64ABA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:U6DVMWNJGQIBQIGLKDL7I64ABA","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":"21c4fea647798a24b268b7e5f2016e67a037095d711d45784780a1684c7f8ad7","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T19:00:00Z","title_canon_sha256":"69c8192483570555fdecae27d8df0a3ed5267875f143a83405f41f090ac63e4e"},"schema_version":"1.0","source":{"id":"1912.07609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.07609","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.07609v2","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.07609","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"U6DVMWNJGQIB","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_16","alias_value":"U6DVMWNJGQIBQIGL","created_at":"2026-07-05T00:46:05Z"},{"alias_kind":"pith_short_8","alias_value":"U6DVMWNJ","created_at":"2026-07-05T00:46:05Z"}],"graph_snapshots":[{"event_id":"sha256:dc00debeb8dfd7350b6c89322f0493b78c872809e8b45b2d74f90f14e6932f0f","target":"graph","created_at":"2026-07-05T00:46:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.07609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Black hole spacetimes, like the Kerr spacetime, admit both stable and plunging orbits, separated in parameter space by the separatrix. Determining the location of the separatrix is of fundamental interest in understanding black holes, and is of crucial importance for modeling extreme mass-ratio inspirals. Previous numerical approaches to locating the Kerr separatrix were not always efficient or stable across all of parameter space. In this paper we show that the Kerr separatrix is the zero set of a single polynomial in parameter space. This gives two main results. First, we thoroughly analyze ","authors_text":"Leo C. Stein, Niels Warburton","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T19:00:00Z","title":"The location of the last stable orbit in Kerr spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.07609","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":"sha256:6815dbea4caed0826e093d1e628a799a83ffd8872679b3400208a46050dc97c8","target":"record","created_at":"2026-07-05T00:46:05Z","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":"21c4fea647798a24b268b7e5f2016e67a037095d711d45784780a1684c7f8ad7","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T19:00:00Z","title_canon_sha256":"69c8192483570555fdecae27d8df0a3ed5267875f143a83405f41f090ac63e4e"},"schema_version":"1.0","source":{"id":"1912.07609","kind":"arxiv","version":2}},"canonical_sha256":"a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7875659a934101820cb50d7f47b800828b38bef74c297efab4f534cc4c0eaa5","first_computed_at":"2026-07-05T00:46:05.812569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:46:05.812569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4qbIasFffBXKrabPTxA5uW7QNiExTdff7lxnajzyVBL3oO1ogd7U4rgNYGbhOZAF0IZCOKXv/Wkx9B3cuG/jBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:46:05.813069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.07609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6815dbea4caed0826e093d1e628a799a83ffd8872679b3400208a46050dc97c8","sha256:dc00debeb8dfd7350b6c89322f0493b78c872809e8b45b2d74f90f14e6932f0f"],"state_sha256":"b29d6b44358542961a15a1d071f64fce15a34c1957f680c3392ca0147fe1f8c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ms4G4mmn2U+S8bCkQIM2qSr1ukmBs+J4fCBSUQd829ulnhB49KcVFocxFHArBc7ObCS7UskgSu1Oze2h2gYfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T18:52:12.302378Z","bundle_sha256":"a960fdb7796c41eda4c45690a908dd26046a9b29f16ec75fb19bba737dcaae9e"}}