{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:U3P7OF3HBZP6SKGCKO5YFM5VAZ","short_pith_number":"pith:U3P7OF3H","canonical_record":{"source":{"id":"1304.0330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T11:01:36Z","cross_cats_sorted":["astro-ph.GA","math.CA"],"title_canon_sha256":"c0ea86f30e7d247ac5e4e363d680cc3fd63ba0cc7ba6c0a08bce513fc6b4720c","abstract_canon_sha256":"b06b80c0cfd4757b08bb71e80081a9e4c7efd18b3e460f6ee7cf1071413f3819"},"schema_version":"1.0"},"canonical_sha256":"a6dff717670e5fe928c253bb82b3b50663010e20e19973f85c61a619f56663ca","source":{"kind":"arxiv","id":"1304.0330","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0330","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0330v1","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0330","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"U3P7OF3HBZP6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U3P7OF3HBZP6SKGC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U3P7OF3H","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:U3P7OF3HBZP6SKGCKO5YFM5VAZ","target":"record","payload":{"canonical_record":{"source":{"id":"1304.0330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T11:01:36Z","cross_cats_sorted":["astro-ph.GA","math.CA"],"title_canon_sha256":"c0ea86f30e7d247ac5e4e363d680cc3fd63ba0cc7ba6c0a08bce513fc6b4720c","abstract_canon_sha256":"b06b80c0cfd4757b08bb71e80081a9e4c7efd18b3e460f6ee7cf1071413f3819"},"schema_version":"1.0"},"canonical_sha256":"a6dff717670e5fe928c253bb82b3b50663010e20e19973f85c61a619f56663ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:47.614483Z","signature_b64":"tOpMbYSedyy5q72AdqHIzKvebO4YUn5UfpMRq31C5UZzP6APnlcKhAW6fPkevWericijV+d8ouE/vOgoaCaFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6dff717670e5fe928c253bb82b3b50663010e20e19973f85c61a619f56663ca","last_reissued_at":"2026-05-18T02:25:47.613871Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:47.613871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.0330","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":"2026-05-18T02:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QzYDAIiDvLQ6Iw25hY1uOgZVUTcowgykfiaMdl2QfB0HyOX08+Xo8zIRRcRMIxk/l8t20V5Fr13Pgcbp84bBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:57:22.257589Z"},"content_sha256":"d36817583a6791df251d3e5cefeb4260a316136eb33df19c0ff72581f92f0fff","schema_version":"1.0","event_id":"sha256:d36817583a6791df251d3e5cefeb4260a316136eb33df19c0ff72581f92f0fff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:U3P7OF3HBZP6SKGCKO5YFM5VAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital resonances around Black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","math.CA"],"primary_cat":"gr-qc","authors_text":"Jeandrew Brink, Marisa Geyer, Tanja Hinderer","submitted_at":"2013-04-01T11:01:36Z","abstract_excerpt":"We compute the length and timescales associated with resonant orbits in the Kerr Metric for all orbital and spin parameters. Resonance induced effects are potentially observable when the Event Horizon telescope resolves the inner structure of Sgr A*, space-based gravitational wave detectors record phase-shifts in the waveform during the resonant passage of a neutron star as it spirals in to the black hole and in the frequencies of quasi periodic oscillations for accreting black holes. The onset of geodesic chaos for non-Kerr spacetimes should occur at the resonance locations quantified here."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0330","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":"2026-05-18T02:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wmybL/G3oTNT9ozJ98U5F1D3uF/fwrMYbTEzPf8ZU4BUcafvC1RDgP9CJ3GgH1xKJzwXje7VXN8XaJTg8I1XBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:57:22.258264Z"},"content_sha256":"5203444613d06eabbc456d8019c240d42ed66e0b3e04ad25b2a82b76527bab1f","schema_version":"1.0","event_id":"sha256:5203444613d06eabbc456d8019c240d42ed66e0b3e04ad25b2a82b76527bab1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/bundle.json","state_url":"https://pith.science/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/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":"2026-05-25T17:57:22Z","links":{"resolver":"https://pith.science/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ","bundle":"https://pith.science/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/bundle.json","state":"https://pith.science/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3P7OF3HBZP6SKGCKO5YFM5VAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U3P7OF3HBZP6SKGCKO5YFM5VAZ","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":"b06b80c0cfd4757b08bb71e80081a9e4c7efd18b3e460f6ee7cf1071413f3819","cross_cats_sorted":["astro-ph.GA","math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T11:01:36Z","title_canon_sha256":"c0ea86f30e7d247ac5e4e363d680cc3fd63ba0cc7ba6c0a08bce513fc6b4720c"},"schema_version":"1.0","source":{"id":"1304.0330","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0330","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0330v1","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0330","created_at":"2026-05-18T02:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"U3P7OF3HBZP6","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U3P7OF3HBZP6SKGC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U3P7OF3H","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:5203444613d06eabbc456d8019c240d42ed66e0b3e04ad25b2a82b76527bab1f","target":"graph","created_at":"2026-05-18T02:25:47Z","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 compute the length and timescales associated with resonant orbits in the Kerr Metric for all orbital and spin parameters. Resonance induced effects are potentially observable when the Event Horizon telescope resolves the inner structure of Sgr A*, space-based gravitational wave detectors record phase-shifts in the waveform during the resonant passage of a neutron star as it spirals in to the black hole and in the frequencies of quasi periodic oscillations for accreting black holes. The onset of geodesic chaos for non-Kerr spacetimes should occur at the resonance locations quantified here.","authors_text":"Jeandrew Brink, Marisa Geyer, Tanja Hinderer","cross_cats":["astro-ph.GA","math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T11:01:36Z","title":"Orbital resonances around Black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0330","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:d36817583a6791df251d3e5cefeb4260a316136eb33df19c0ff72581f92f0fff","target":"record","created_at":"2026-05-18T02:25:47Z","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":"b06b80c0cfd4757b08bb71e80081a9e4c7efd18b3e460f6ee7cf1071413f3819","cross_cats_sorted":["astro-ph.GA","math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-01T11:01:36Z","title_canon_sha256":"c0ea86f30e7d247ac5e4e363d680cc3fd63ba0cc7ba6c0a08bce513fc6b4720c"},"schema_version":"1.0","source":{"id":"1304.0330","kind":"arxiv","version":1}},"canonical_sha256":"a6dff717670e5fe928c253bb82b3b50663010e20e19973f85c61a619f56663ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6dff717670e5fe928c253bb82b3b50663010e20e19973f85c61a619f56663ca","first_computed_at":"2026-05-18T02:25:47.613871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:47.613871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tOpMbYSedyy5q72AdqHIzKvebO4YUn5UfpMRq31C5UZzP6APnlcKhAW6fPkevWericijV+d8ouE/vOgoaCaFAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:47.614483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0330","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d36817583a6791df251d3e5cefeb4260a316136eb33df19c0ff72581f92f0fff","sha256:5203444613d06eabbc456d8019c240d42ed66e0b3e04ad25b2a82b76527bab1f"],"state_sha256":"a9b3d255ecc655f721408ac67fd99930ae4a1d682365a631dbd560be1530f7f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jMuSO93CmidddEwsIi5yOdLz0z7MGw57CznyXfgeaHvAj4n9izw7BYYw1EfuT+GwWT+j3hwXjRBK+Vh1FmV3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:57:22.261787Z","bundle_sha256":"f79a64075286518bf36834a95ad24d278de628611433252d96a4b223051abbc4"}}