{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:35IUL5QBI6FAUMFB4XVNCC4QHG","short_pith_number":"pith:35IUL5QB","canonical_record":{"source":{"id":"2608.07756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T20:41:53Z","cross_cats_sorted":[],"title_canon_sha256":"a82da69b930547658ee1a2c54486ec8259ad1d4e38d76f9576223a9ca01728b6","abstract_canon_sha256":"9ac9c9c3934b19b0abfde5147ddca0969a1089938ce19c933cd7f407605cffaf"},"schema_version":"1.0"},"canonical_sha256":"df5145f601478a0a30a1e5ead10b9039a0c3e7c15ef1683e6a0952fcbb7e980b","source":{"kind":"arxiv","id":"2608.07756","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07756","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07756v1","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07756","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"35IUL5QBI6FA","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"35IUL5QBI6FAUMFB","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"35IUL5QB","created_at":"2026-08-11T00:15:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:35IUL5QBI6FAUMFB4XVNCC4QHG","target":"record","payload":{"canonical_record":{"source":{"id":"2608.07756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T20:41:53Z","cross_cats_sorted":[],"title_canon_sha256":"a82da69b930547658ee1a2c54486ec8259ad1d4e38d76f9576223a9ca01728b6","abstract_canon_sha256":"9ac9c9c3934b19b0abfde5147ddca0969a1089938ce19c933cd7f407605cffaf"},"schema_version":"1.0"},"canonical_sha256":"df5145f601478a0a30a1e5ead10b9039a0c3e7c15ef1683e6a0952fcbb7e980b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T00:15:52.661120Z","signature_b64":"bzmle3gA8ynMeu64xVmwNuZuBZRz8IsJrwZLsDLXTYJ8VJbiMxWepxTcp9vua44PMy2JDe3tGk2tNo/TP7BcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df5145f601478a0a30a1e5ead10b9039a0c3e7c15ef1683e6a0952fcbb7e980b","last_reissued_at":"2026-08-11T00:15:52.658856Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T00:15:52.658856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.07756","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":"2026-08-11T00:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvY0f1yQAF/P1ceuPGLOZNAGdH58wFEdRchUq9I4osUzcxLmbqiwCh76K51ls2+kg4/WXxlZFrtnVEJsZC0tBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T18:29:18.315609Z"},"content_sha256":"a4f320a4b2364a8016f6334d199524a3d2d2f568d429eb836f96c03537f825cb","schema_version":"1.0","event_id":"sha256:a4f320a4b2364a8016f6334d199524a3d2d2f568d429eb836f96c03537f825cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:35IUL5QBI6FAUMFB4XVNCC4QHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David Langlois, Etienne Ligout, Luc Blanchet","submitted_at":"2026-08-07T20:41:53Z","abstract_excerpt":"We compute, up to 4th post-Newtonian (4PN) order, the gauge-invariant stability criterion determining the innermost stable circular orbit (ISCO) for arbitrary-mass compact binaries with spins aligned with the orbital angular momentum. Our calculation, a perturbation analysis, incorporates spin-orbit and spin-spin contributions, both up to next-to-next-to-leading order, as well as leading-order cubic and quartic spin contributions, all calculated in prior works within the effective-field-theory (EFT) Hamiltonian formalism. In the test-mass limit, we recover the Kerr ISCO truncated at 4PN order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07756","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07756/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":"2026-08-11T00:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7xzZ2w5bMbZbIOlt5aLKdPkbht/c0TZGBzOC7ifcHDcyTXORQOXjuVoVfz0u1SuZv2cdpEA2aBqrFO4VTMm1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T18:29:18.316264Z"},"content_sha256":"0f7ce80721b6ab1ce30bba9de665a2a12f6d78d232a9cecd18aef0f8e308cd60","schema_version":"1.0","event_id":"sha256:0f7ce80721b6ab1ce30bba9de665a2a12f6d78d232a9cecd18aef0f8e308cd60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/bundle.json","state_url":"https://pith.science/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/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":"2026-08-18T18:29:18Z","links":{"resolver":"https://pith.science/pith/35IUL5QBI6FAUMFB4XVNCC4QHG","bundle":"https://pith.science/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/bundle.json","state":"https://pith.science/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/35IUL5QBI6FAUMFB4XVNCC4QHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:35IUL5QBI6FAUMFB4XVNCC4QHG","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":"9ac9c9c3934b19b0abfde5147ddca0969a1089938ce19c933cd7f407605cffaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T20:41:53Z","title_canon_sha256":"a82da69b930547658ee1a2c54486ec8259ad1d4e38d76f9576223a9ca01728b6"},"schema_version":"1.0","source":{"id":"2608.07756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07756","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07756v1","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07756","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"35IUL5QBI6FA","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"35IUL5QBI6FAUMFB","created_at":"2026-08-11T00:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"35IUL5QB","created_at":"2026-08-11T00:15:52Z"}],"graph_snapshots":[{"event_id":"sha256:0f7ce80721b6ab1ce30bba9de665a2a12f6d78d232a9cecd18aef0f8e308cd60","target":"graph","created_at":"2026-08-11T00:15:52Z","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/2608.07756/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute, up to 4th post-Newtonian (4PN) order, the gauge-invariant stability criterion determining the innermost stable circular orbit (ISCO) for arbitrary-mass compact binaries with spins aligned with the orbital angular momentum. Our calculation, a perturbation analysis, incorporates spin-orbit and spin-spin contributions, both up to next-to-next-to-leading order, as well as leading-order cubic and quartic spin contributions, all calculated in prior works within the effective-field-theory (EFT) Hamiltonian formalism. In the test-mass limit, we recover the Kerr ISCO truncated at 4PN order.","authors_text":"David Langlois, Etienne Ligout, Luc Blanchet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T20:41:53Z","title":"Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07756","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:a4f320a4b2364a8016f6334d199524a3d2d2f568d429eb836f96c03537f825cb","target":"record","created_at":"2026-08-11T00:15:52Z","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":"9ac9c9c3934b19b0abfde5147ddca0969a1089938ce19c933cd7f407605cffaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-08-07T20:41:53Z","title_canon_sha256":"a82da69b930547658ee1a2c54486ec8259ad1d4e38d76f9576223a9ca01728b6"},"schema_version":"1.0","source":{"id":"2608.07756","kind":"arxiv","version":1}},"canonical_sha256":"df5145f601478a0a30a1e5ead10b9039a0c3e7c15ef1683e6a0952fcbb7e980b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df5145f601478a0a30a1e5ead10b9039a0c3e7c15ef1683e6a0952fcbb7e980b","first_computed_at":"2026-08-11T00:15:52.658856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T00:15:52.658856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bzmle3gA8ynMeu64xVmwNuZuBZRz8IsJrwZLsDLXTYJ8VJbiMxWepxTcp9vua44PMy2JDe3tGk2tNo/TP7BcCA==","signature_status":"signed_v1","signed_at":"2026-08-11T00:15:52.661120Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4f320a4b2364a8016f6334d199524a3d2d2f568d429eb836f96c03537f825cb","sha256:0f7ce80721b6ab1ce30bba9de665a2a12f6d78d232a9cecd18aef0f8e308cd60"],"state_sha256":"36cd5c62d03773e70dfd4664e50b9439b5a8504eafe82c2b98329aa09d1cb836"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ASkNAs3XlM017ByUCB5nlLJRGmQGDTCvatYPh2gaNw57x1iSB73putZVioqYPfqZDQAKzn1yiuLbJd558WMLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T18:29:18.322832Z","bundle_sha256":"c5d4fbce54dd0521c49a8067f32fd00937498fd0bc191e7599439f11a6a480ef"}}