{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SKIWWEN3VNNPQPIU36PXTS3REU","short_pith_number":"pith:SKIWWEN3","canonical_record":{"source":{"id":"2407.19005","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-26T18:00:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"34bc2896314ba1eeaf9908b1de13513d100f310706af18bf9ae6b739bdaac32f","abstract_canon_sha256":"ded3fe000f804e594e2438ca743045c1d2c789bd20f71575279606b218a0d0da"},"schema_version":"1.0"},"canonical_sha256":"92916b11bbab5af83d14df9f79cb7125351cee8f91912564cd5f9960aaba9550","source":{"kind":"arxiv","id":"2407.19005","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.19005","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.19005v2","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.19005","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_12","alias_value":"SKIWWEN3VNNP","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_16","alias_value":"SKIWWEN3VNNPQPIU","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_8","alias_value":"SKIWWEN3","created_at":"2026-07-05T10:43:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SKIWWEN3VNNPQPIU36PXTS3REU","target":"record","payload":{"canonical_record":{"source":{"id":"2407.19005","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-26T18:00:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"34bc2896314ba1eeaf9908b1de13513d100f310706af18bf9ae6b739bdaac32f","abstract_canon_sha256":"ded3fe000f804e594e2438ca743045c1d2c789bd20f71575279606b218a0d0da"},"schema_version":"1.0"},"canonical_sha256":"92916b11bbab5af83d14df9f79cb7125351cee8f91912564cd5f9960aaba9550","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:43:37.806435Z","signature_b64":"c7PkWN1UyM7iy0Zom0+KYhgm2I3pTZGhUi2RuoZDT8OKTzrvcedsjEQdNQ04S/eIN4z4hsFzjQfoP5czE16UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92916b11bbab5af83d14df9f79cb7125351cee8f91912564cd5f9960aaba9550","last_reissued_at":"2026-07-05T10:43:37.805930Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:43:37.805930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.19005","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":"2026-07-05T10:43:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKCYipCcbiG+zf1t3jmC/IifghN2u1fhtZMRT8I4qv+6VEa+wq29jZTu55tKSA97OS2hBarPu1tYAWjGzCQtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:10:13.848438Z"},"content_sha256":"1d251c4488e43b9a14e7cc35369a89c150f3d55b4b284ea45fbf142f11126243","schema_version":"1.0","event_id":"sha256:1d251c4488e43b9a14e7cc35369a89c150f3d55b4b284ea45fbf142f11126243"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SKIWWEN3VNNPQPIU36PXTS3REU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinning Black Hole Scattering at $\\mathcal{O}(G^3 S^2)$: Casimir Terms, Radial Action and Hidden Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Dogan Akpinar, Fernando Febres Cordero, Manfred Kraus, Mao Zeng, Michael S. Ruf","submitted_at":"2024-07-26T18:00:01Z","abstract_excerpt":"We resolve subtleties in calculating the post-Minksowskian dynamics of binary systems, as a spin expansion, from massive scattering amplitudes of fixed finite spin. In particular, the apparently ambiguous spin Casimir terms can be fully determined from the gradient of the spin-diagonal part of the amplitudes with respect to $S^2 = -s(s+1)\\hbar^2$, using an interpolation between massive amplitudes with different spin representations. From two-loop amplitudes of spin-0 and spin-1 particles minimally coupled to gravity, we extract the spin Casimir terms in the conservative scattering angle betwee"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.19005","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/2407.19005/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":"2026-07-05T10:43:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S6aCNIs9aMbv5waKCkjjXHItnxVic2LkqPNBh8i5CRbQr3dePVJMSJB9yj6BmuUcUaFC0fnxm0ZkcGyBMIWTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:10:13.849080Z"},"content_sha256":"769c02cc61a8f14713cd6566d1b26fd3d5d75a892955085b04bde4cc54e36828","schema_version":"1.0","event_id":"sha256:769c02cc61a8f14713cd6566d1b26fd3d5d75a892955085b04bde4cc54e36828"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SKIWWEN3VNNPQPIU36PXTS3REU/bundle.json","state_url":"https://pith.science/pith/SKIWWEN3VNNPQPIU36PXTS3REU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SKIWWEN3VNNPQPIU36PXTS3REU/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":"2026-08-03T00:10:13Z","links":{"resolver":"https://pith.science/pith/SKIWWEN3VNNPQPIU36PXTS3REU","bundle":"https://pith.science/pith/SKIWWEN3VNNPQPIU36PXTS3REU/bundle.json","state":"https://pith.science/pith/SKIWWEN3VNNPQPIU36PXTS3REU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SKIWWEN3VNNPQPIU36PXTS3REU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SKIWWEN3VNNPQPIU36PXTS3REU","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":"ded3fe000f804e594e2438ca743045c1d2c789bd20f71575279606b218a0d0da","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-26T18:00:01Z","title_canon_sha256":"34bc2896314ba1eeaf9908b1de13513d100f310706af18bf9ae6b739bdaac32f"},"schema_version":"1.0","source":{"id":"2407.19005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.19005","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.19005v2","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.19005","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_12","alias_value":"SKIWWEN3VNNP","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_16","alias_value":"SKIWWEN3VNNPQPIU","created_at":"2026-07-05T10:43:37Z"},{"alias_kind":"pith_short_8","alias_value":"SKIWWEN3","created_at":"2026-07-05T10:43:37Z"}],"graph_snapshots":[{"event_id":"sha256:769c02cc61a8f14713cd6566d1b26fd3d5d75a892955085b04bde4cc54e36828","target":"graph","created_at":"2026-07-05T10:43:37Z","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/2407.19005/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We resolve subtleties in calculating the post-Minksowskian dynamics of binary systems, as a spin expansion, from massive scattering amplitudes of fixed finite spin. In particular, the apparently ambiguous spin Casimir terms can be fully determined from the gradient of the spin-diagonal part of the amplitudes with respect to $S^2 = -s(s+1)\\hbar^2$, using an interpolation between massive amplitudes with different spin representations. From two-loop amplitudes of spin-0 and spin-1 particles minimally coupled to gravity, we extract the spin Casimir terms in the conservative scattering angle betwee","authors_text":"Dogan Akpinar, Fernando Febres Cordero, Manfred Kraus, Mao Zeng, Michael S. Ruf","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-26T18:00:01Z","title":"Spinning Black Hole Scattering at $\\mathcal{O}(G^3 S^2)$: Casimir Terms, Radial Action and Hidden Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.19005","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":"sha256:1d251c4488e43b9a14e7cc35369a89c150f3d55b4b284ea45fbf142f11126243","target":"record","created_at":"2026-07-05T10:43:37Z","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":"ded3fe000f804e594e2438ca743045c1d2c789bd20f71575279606b218a0d0da","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-26T18:00:01Z","title_canon_sha256":"34bc2896314ba1eeaf9908b1de13513d100f310706af18bf9ae6b739bdaac32f"},"schema_version":"1.0","source":{"id":"2407.19005","kind":"arxiv","version":2}},"canonical_sha256":"92916b11bbab5af83d14df9f79cb7125351cee8f91912564cd5f9960aaba9550","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92916b11bbab5af83d14df9f79cb7125351cee8f91912564cd5f9960aaba9550","first_computed_at":"2026-07-05T10:43:37.805930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:37.805930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c7PkWN1UyM7iy0Zom0+KYhgm2I3pTZGhUi2RuoZDT8OKTzrvcedsjEQdNQ04S/eIN4z4hsFzjQfoP5czE16UCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:37.806435Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.19005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d251c4488e43b9a14e7cc35369a89c150f3d55b4b284ea45fbf142f11126243","sha256:769c02cc61a8f14713cd6566d1b26fd3d5d75a892955085b04bde4cc54e36828"],"state_sha256":"ec20eea3099fee5ea989c0211f7f1ddfe183622ce480857346b7cc9e5f8f8c45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YHaiPCpZSByJ5SmYQEDhIw1Uw5KJP0Xy/5KQNZzufIgaFykP2iT1pihqJbAEtATMCkzYf6wKkUq0ZQDE6Hr0AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T00:10:13.854475Z","bundle_sha256":"e40ce478d3fd3731a3077e3ac0252d8f3e02868cfb9977a80708b38466dbfb53"}}