{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DV3QHQHJBXX5NDNCKX4VVHYZR2","short_pith_number":"pith:DV3QHQHJ","canonical_record":{"source":{"id":"1210.2116","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-10-07T23:07:52Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"05634f0408c70e2aa27ad77bac5f55ed4b45a86e6bcdce9e9607de84b7bccb1d","abstract_canon_sha256":"942a20df3b6e90a45f88cf5434b375a6d602b8967da572ab94f349d18bbde42a"},"schema_version":"1.0"},"canonical_sha256":"1d7703c0e90defd68da255f95a9f198e87abfb7532d1858b719b809bd60c5210","source":{"kind":"arxiv","id":"1210.2116","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2116","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2116v3","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2116","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"DV3QHQHJBXX5","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DV3QHQHJBXX5NDNC","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DV3QHQHJ","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DV3QHQHJBXX5NDNCKX4VVHYZR2","target":"record","payload":{"canonical_record":{"source":{"id":"1210.2116","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-10-07T23:07:52Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"05634f0408c70e2aa27ad77bac5f55ed4b45a86e6bcdce9e9607de84b7bccb1d","abstract_canon_sha256":"942a20df3b6e90a45f88cf5434b375a6d602b8967da572ab94f349d18bbde42a"},"schema_version":"1.0"},"canonical_sha256":"1d7703c0e90defd68da255f95a9f198e87abfb7532d1858b719b809bd60c5210","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:57.705695Z","signature_b64":"7rHJsEInky3bUMbOjoHBhcCowCJy9qYpDHAhVjt2iF8CxTqILgDeba6uIaECcyiVEnaYUmtUrrdE02D0kqloDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d7703c0e90defd68da255f95a9f198e87abfb7532d1858b719b809bd60c5210","last_reissued_at":"2026-05-18T02:58:57.704745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:57.704745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.2116","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PrTa2hU8AmY+8WlBrHZRTAI2pyJUk9RwiQNkLzjiOxsrOe5s9FwruYgdb/bTZYqGse+zKNbj8cAhfQN3EceGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:10:05.828328Z"},"content_sha256":"283227b19b750d073e8e3c99bbf3f2b121a07e589eef1cc64ad077e5331f2b77","schema_version":"1.0","event_id":"sha256:283227b19b750d073e8e3c99bbf3f2b121a07e589eef1cc64ad077e5331f2b77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DV3QHQHJBXX5NDNCKX4VVHYZR2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact computations of the acoustic radiation force on a sphere using the translational addition theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.class-ph","authors_text":"Andr\\'e L. Baggio, Farid G. Mitri, Glauber T. Silva, J. Henrique Lopes","submitted_at":"2012-10-07T23:07:52Z","abstract_excerpt":"In this paper, the translational addition theorem for spherical functions is employed to exactly calculate the acoustic radiation force produced by an arbitrary shaped beam on a sphere suspended in an inviscid fluid. The radiation force is given in terms of the beam-shape and the scattering coefficients. Each beam-shape coefficient (BSC) is the complex weight of a multipole mode in partial-wave expansion of the incident beam. Moreover, they depend on the choice of the reference frame which is defined by the sphere's center. On the other hand, the scattering coefficients are obtained from the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2116","kind":"arxiv","version":3},"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":"2026-05-18T02:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKjdL8R6X2Peiv1C2tbiDvCYfbdPpZZ330V6Ff6pJ+3+xbOUTbCaxKtt4BXy2pq0zNGVm51g1CwFzjsgcr9rCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:10:05.828678Z"},"content_sha256":"f64109f21a43e89b8a60374272dee9f1b1c347e1f96731a3de3c1fc8a5952ad8","schema_version":"1.0","event_id":"sha256:f64109f21a43e89b8a60374272dee9f1b1c347e1f96731a3de3c1fc8a5952ad8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/bundle.json","state_url":"https://pith.science/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/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":"2026-06-25T19:10:05Z","links":{"resolver":"https://pith.science/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2","bundle":"https://pith.science/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/bundle.json","state":"https://pith.science/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DV3QHQHJBXX5NDNCKX4VVHYZR2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DV3QHQHJBXX5NDNCKX4VVHYZR2","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":"942a20df3b6e90a45f88cf5434b375a6d602b8967da572ab94f349d18bbde42a","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-10-07T23:07:52Z","title_canon_sha256":"05634f0408c70e2aa27ad77bac5f55ed4b45a86e6bcdce9e9607de84b7bccb1d"},"schema_version":"1.0","source":{"id":"1210.2116","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2116","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2116v3","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2116","created_at":"2026-05-18T02:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"DV3QHQHJBXX5","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DV3QHQHJBXX5NDNC","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DV3QHQHJ","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:f64109f21a43e89b8a60374272dee9f1b1c347e1f96731a3de3c1fc8a5952ad8","target":"graph","created_at":"2026-05-18T02:58:57Z","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":"In this paper, the translational addition theorem for spherical functions is employed to exactly calculate the acoustic radiation force produced by an arbitrary shaped beam on a sphere suspended in an inviscid fluid. The radiation force is given in terms of the beam-shape and the scattering coefficients. Each beam-shape coefficient (BSC) is the complex weight of a multipole mode in partial-wave expansion of the incident beam. Moreover, they depend on the choice of the reference frame which is defined by the sphere's center. On the other hand, the scattering coefficients are obtained from the a","authors_text":"Andr\\'e L. Baggio, Farid G. Mitri, Glauber T. Silva, J. Henrique Lopes","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-10-07T23:07:52Z","title":"Exact computations of the acoustic radiation force on a sphere using the translational addition theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2116","kind":"arxiv","version":3},"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":"sha256:283227b19b750d073e8e3c99bbf3f2b121a07e589eef1cc64ad077e5331f2b77","target":"record","created_at":"2026-05-18T02:58:57Z","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":"942a20df3b6e90a45f88cf5434b375a6d602b8967da572ab94f349d18bbde42a","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-10-07T23:07:52Z","title_canon_sha256":"05634f0408c70e2aa27ad77bac5f55ed4b45a86e6bcdce9e9607de84b7bccb1d"},"schema_version":"1.0","source":{"id":"1210.2116","kind":"arxiv","version":3}},"canonical_sha256":"1d7703c0e90defd68da255f95a9f198e87abfb7532d1858b719b809bd60c5210","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d7703c0e90defd68da255f95a9f198e87abfb7532d1858b719b809bd60c5210","first_computed_at":"2026-05-18T02:58:57.704745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:57.704745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7rHJsEInky3bUMbOjoHBhcCowCJy9qYpDHAhVjt2iF8CxTqILgDeba6uIaECcyiVEnaYUmtUrrdE02D0kqloDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:57.705695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2116","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:283227b19b750d073e8e3c99bbf3f2b121a07e589eef1cc64ad077e5331f2b77","sha256:f64109f21a43e89b8a60374272dee9f1b1c347e1f96731a3de3c1fc8a5952ad8"],"state_sha256":"118227a4e99aa6cbd72d70017cbb39914f92bbe6944c5f024cf38a89ae42234b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+YonZR1pZOeGEuNVbwRQZvBhzJjKsnWNQLQV1SQzTQJqMSNgpGF1ct8734IHGbmLcY62lTBu7sgT7qr6gvMzCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T19:10:05.830676Z","bundle_sha256":"cf373761ea43fda17e022ab84acdec3543b5f808b16fe15f72ea5dcf6984ee3d"}}