{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RRZHOVYNSGZGNTDJK4WWOMPLLX","short_pith_number":"pith:RRZHOVYN","canonical_record":{"source":{"id":"2607.14802","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-16T10:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"bb5f8182970c1616921c14c94d5fa0fec45c11ec17c5309b0fc393374cd3d7da","abstract_canon_sha256":"d7fcf19cabf9db2aa10e024aa99c7e9540989ecc768a4a492bc9063d4dd41e46"},"schema_version":"1.0"},"canonical_sha256":"8c7277570d91b266cc69572d6731eb5dc8469a0435b25cc22859573a82b53252","source":{"kind":"arxiv","id":"2607.14802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14802","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14802v1","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14802","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"RRZHOVYNSGZG","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_16","alias_value":"RRZHOVYNSGZGNTDJ","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_8","alias_value":"RRZHOVYN","created_at":"2026-07-17T01:21:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RRZHOVYNSGZGNTDJK4WWOMPLLX","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14802","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-16T10:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"bb5f8182970c1616921c14c94d5fa0fec45c11ec17c5309b0fc393374cd3d7da","abstract_canon_sha256":"d7fcf19cabf9db2aa10e024aa99c7e9540989ecc768a4a492bc9063d4dd41e46"},"schema_version":"1.0"},"canonical_sha256":"8c7277570d91b266cc69572d6731eb5dc8469a0435b25cc22859573a82b53252","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:21:31.784145Z","signature_b64":"3yO8vZSehUGK1fc+dxxysENV+dC/gAlyCyecXNT+uzxU3i1se0z1sJM2rPl6bCW7Bqgq/7+CJSODZybi10kYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c7277570d91b266cc69572d6731eb5dc8469a0435b25cc22859573a82b53252","last_reissued_at":"2026-07-17T01:21:31.783329Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:21:31.783329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14802","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":"2026-07-17T01:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1hsW9FDmGutoe6+jrphlAG0bVryie3XIRvlxacvJ0V4L3mfq7Lv2WM+7b+TxA7qNNNx3ZeS40c6DhmJg4VLqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:18:27.469412Z"},"content_sha256":"c1f342172bbe104e704e9941dd79c9d0d7c9f7494f3f70b41096e6f54d0fdd01","schema_version":"1.0","event_id":"sha256:c1f342172bbe104e704e9941dd79c9d0d7c9f7494f3f70b41096e6f54d0fdd01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RRZHOVYNSGZGNTDJK4WWOMPLLX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The radial action for massive particles in spherically symmetric geometries: Exact resummation at any PM order","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Donato Bini, Giorgio Di Russo","submitted_at":"2026-07-16T10:19:10Z","abstract_excerpt":"We compute the massive particles radial action along hyperboliclike geodesics in various spherically symmetric spacetimes: the standard $4d$ Schwarzschild spacetime, its $d$-dimensional genralization known as Schwarzschild-Tangherlini solutions and for the D3-branes spacetimes, showing useful resummation properties in terms of special (hypergeometric, Fox-Wright) functions in the eikonal limit and generalizing previous results valid for null geodesics. As a consequence, the scattering angle can be resummed too, and we explicitly display the resummed expressions.\n  In addition, in the more inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14802","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/2607.14802/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":"2026-07-17T01:21:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2mQydGl9T0oH7UkkE2AWI5JHatabhSQHIX9Qkt9dVMlfgdws+TAV6g73gB/piezlROHMwWkSg4SaEba9PBfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:18:27.470231Z"},"content_sha256":"94420d25f6b997eff37d458601ae9ed0d2330e6598d31e16ccaa7845e92841a1","schema_version":"1.0","event_id":"sha256:94420d25f6b997eff37d458601ae9ed0d2330e6598d31e16ccaa7845e92841a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/bundle.json","state_url":"https://pith.science/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/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":"2026-08-04T05:18:27Z","links":{"resolver":"https://pith.science/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX","bundle":"https://pith.science/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/bundle.json","state":"https://pith.science/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRZHOVYNSGZGNTDJK4WWOMPLLX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RRZHOVYNSGZGNTDJK4WWOMPLLX","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":"d7fcf19cabf9db2aa10e024aa99c7e9540989ecc768a4a492bc9063d4dd41e46","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-16T10:19:10Z","title_canon_sha256":"bb5f8182970c1616921c14c94d5fa0fec45c11ec17c5309b0fc393374cd3d7da"},"schema_version":"1.0","source":{"id":"2607.14802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14802","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14802v1","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14802","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_12","alias_value":"RRZHOVYNSGZG","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_16","alias_value":"RRZHOVYNSGZGNTDJ","created_at":"2026-07-17T01:21:31Z"},{"alias_kind":"pith_short_8","alias_value":"RRZHOVYN","created_at":"2026-07-17T01:21:31Z"}],"graph_snapshots":[{"event_id":"sha256:94420d25f6b997eff37d458601ae9ed0d2330e6598d31e16ccaa7845e92841a1","target":"graph","created_at":"2026-07-17T01:21:31Z","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/2607.14802/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the massive particles radial action along hyperboliclike geodesics in various spherically symmetric spacetimes: the standard $4d$ Schwarzschild spacetime, its $d$-dimensional genralization known as Schwarzschild-Tangherlini solutions and for the D3-branes spacetimes, showing useful resummation properties in terms of special (hypergeometric, Fox-Wright) functions in the eikonal limit and generalizing previous results valid for null geodesics. As a consequence, the scattering angle can be resummed too, and we explicitly display the resummed expressions.\n  In addition, in the more inte","authors_text":"Donato Bini, Giorgio Di Russo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-16T10:19:10Z","title":"The radial action for massive particles in spherically symmetric geometries: Exact resummation at any PM order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14802","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:c1f342172bbe104e704e9941dd79c9d0d7c9f7494f3f70b41096e6f54d0fdd01","target":"record","created_at":"2026-07-17T01:21:31Z","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":"d7fcf19cabf9db2aa10e024aa99c7e9540989ecc768a4a492bc9063d4dd41e46","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-07-16T10:19:10Z","title_canon_sha256":"bb5f8182970c1616921c14c94d5fa0fec45c11ec17c5309b0fc393374cd3d7da"},"schema_version":"1.0","source":{"id":"2607.14802","kind":"arxiv","version":1}},"canonical_sha256":"8c7277570d91b266cc69572d6731eb5dc8469a0435b25cc22859573a82b53252","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c7277570d91b266cc69572d6731eb5dc8469a0435b25cc22859573a82b53252","first_computed_at":"2026-07-17T01:21:31.783329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:31.783329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3yO8vZSehUGK1fc+dxxysENV+dC/gAlyCyecXNT+uzxU3i1se0z1sJM2rPl6bCW7Bqgq/7+CJSODZybi10kYBg==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:31.784145Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1f342172bbe104e704e9941dd79c9d0d7c9f7494f3f70b41096e6f54d0fdd01","sha256:94420d25f6b997eff37d458601ae9ed0d2330e6598d31e16ccaa7845e92841a1"],"state_sha256":"a8e7fc0d644c859b70b927138cbd0f498f0175d241c5de08510389e85c6742ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kjr2TXiZioXSLOOtGqI0sNwxgmZqAv7onY73DJQ3+els4UFQPX0/727ZZnZszOqczO2ybEMU/NTgFdkAWElMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:18:27.477885Z","bundle_sha256":"cd2e2db9ee5d6fcea82b85dd70059f73da35647e9317982e7263b52c75ecdaf6"}}