{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YAUHKLVTVOFN7QDFPZX5YQIORO","short_pith_number":"pith:YAUHKLVT","canonical_record":{"source":{"id":"0805.4783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2008-05-30T15:00:50Z","cross_cats_sorted":[],"title_canon_sha256":"5161c4d3f28a651bb914fc4c80718b84b0f47a95405af1b269ea39ce6c4fb829","abstract_canon_sha256":"230ef5ebdd2f308941a41c37700ee6531d90725748b49d03d9b30f173cf9fe6a"},"schema_version":"1.0"},"canonical_sha256":"c028752eb3ab8adfc0657e6fdc410e8b929de82bced29715339f4fdb6719ffde","source":{"kind":"arxiv","id":"0805.4783","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4783","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4783v2","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4783","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"YAUHKLVTVOFN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YAUHKLVTVOFN7QDF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YAUHKLVT","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YAUHKLVTVOFN7QDFPZX5YQIORO","target":"record","payload":{"canonical_record":{"source":{"id":"0805.4783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2008-05-30T15:00:50Z","cross_cats_sorted":[],"title_canon_sha256":"5161c4d3f28a651bb914fc4c80718b84b0f47a95405af1b269ea39ce6c4fb829","abstract_canon_sha256":"230ef5ebdd2f308941a41c37700ee6531d90725748b49d03d9b30f173cf9fe6a"},"schema_version":"1.0"},"canonical_sha256":"c028752eb3ab8adfc0657e6fdc410e8b929de82bced29715339f4fdb6719ffde","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:01.535689Z","signature_b64":"4hDLk3coTDt71MsFf+sF+okrcKcK3y/zWHjDy2VJdz8cBAnCmYxrFEixEu4zYWckNKCpjfxrPovMbmPU+3FNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c028752eb3ab8adfc0657e6fdc410e8b929de82bced29715339f4fdb6719ffde","last_reissued_at":"2026-05-18T04:34:01.535255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:01.535255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.4783","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":"2026-05-18T04:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/m92fJQcQHDqXFrj4Kd5uwq28F2Ub4wUwGctpwV2RAIxKmYGkK2ROKBXgJWoYQKeoMsXn32D9qLvYEssbiAcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:07:08.084535Z"},"content_sha256":"2edefc651e5c110901b1b7dbc0f188f4efa1aca8d77b212da4b48b2cae45ab66","schema_version":"1.0","event_id":"sha256:2edefc651e5c110901b1b7dbc0f188f4efa1aca8d77b212da4b48b2cae45ab66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YAUHKLVTVOFN7QDFPZX5YQIORO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"P3M algorithm for dipolar interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"C. Holm, Juan J. Cerda, O. Lenz, V. Ballenegger","submitted_at":"2008-05-30T15:00:50Z","abstract_excerpt":"An extension to the P3M algorithm for electrostatic interactions is presented, that allows to efficiently compute dipolar interactions in periodic boundary conditions. Theoretical estimates for the root-mean square error of the forces, torques and the energy are derived. The applicability of the estimates is tested and confirmed in several numerical examples. A comparison of the computational performance of the new algorithm to state-of-the-art dipolar Ewald summation methods shows a performance crossover from the Ewald method to the dipolar P3M method for as few as 300 dipolar particles. In l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4783","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":""},"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":"2026-05-18T04:34:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qP6E56o4zbZuWzb8s/unbOGi4EhkNMlCN+m647mJDOALS/ORTcrlDuF3o3HAwx+2iuxZs3knjBPLVkyLBn9EBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:07:08.084876Z"},"content_sha256":"b7414c12a37753c55d5f56526bc0b0773f0c3fbf1024f2094e71a8e6ece2c642","schema_version":"1.0","event_id":"sha256:b7414c12a37753c55d5f56526bc0b0773f0c3fbf1024f2094e71a8e6ece2c642"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/bundle.json","state_url":"https://pith.science/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/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":"2026-06-02T15:07:08Z","links":{"resolver":"https://pith.science/pith/YAUHKLVTVOFN7QDFPZX5YQIORO","bundle":"https://pith.science/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/bundle.json","state":"https://pith.science/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAUHKLVTVOFN7QDFPZX5YQIORO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YAUHKLVTVOFN7QDFPZX5YQIORO","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":"230ef5ebdd2f308941a41c37700ee6531d90725748b49d03d9b30f173cf9fe6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2008-05-30T15:00:50Z","title_canon_sha256":"5161c4d3f28a651bb914fc4c80718b84b0f47a95405af1b269ea39ce6c4fb829"},"schema_version":"1.0","source":{"id":"0805.4783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4783","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4783v2","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4783","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"YAUHKLVTVOFN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YAUHKLVTVOFN7QDF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YAUHKLVT","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:b7414c12a37753c55d5f56526bc0b0773f0c3fbf1024f2094e71a8e6ece2c642","target":"graph","created_at":"2026-05-18T04:34:01Z","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":"An extension to the P3M algorithm for electrostatic interactions is presented, that allows to efficiently compute dipolar interactions in periodic boundary conditions. Theoretical estimates for the root-mean square error of the forces, torques and the energy are derived. The applicability of the estimates is tested and confirmed in several numerical examples. A comparison of the computational performance of the new algorithm to state-of-the-art dipolar Ewald summation methods shows a performance crossover from the Ewald method to the dipolar P3M method for as few as 300 dipolar particles. In l","authors_text":"C. Holm, Juan J. Cerda, O. Lenz, V. Ballenegger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2008-05-30T15:00:50Z","title":"P3M algorithm for dipolar interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4783","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":"sha256:2edefc651e5c110901b1b7dbc0f188f4efa1aca8d77b212da4b48b2cae45ab66","target":"record","created_at":"2026-05-18T04:34:01Z","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":"230ef5ebdd2f308941a41c37700ee6531d90725748b49d03d9b30f173cf9fe6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2008-05-30T15:00:50Z","title_canon_sha256":"5161c4d3f28a651bb914fc4c80718b84b0f47a95405af1b269ea39ce6c4fb829"},"schema_version":"1.0","source":{"id":"0805.4783","kind":"arxiv","version":2}},"canonical_sha256":"c028752eb3ab8adfc0657e6fdc410e8b929de82bced29715339f4fdb6719ffde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c028752eb3ab8adfc0657e6fdc410e8b929de82bced29715339f4fdb6719ffde","first_computed_at":"2026-05-18T04:34:01.535255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:01.535255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4hDLk3coTDt71MsFf+sF+okrcKcK3y/zWHjDy2VJdz8cBAnCmYxrFEixEu4zYWckNKCpjfxrPovMbmPU+3FNCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:01.535689Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2edefc651e5c110901b1b7dbc0f188f4efa1aca8d77b212da4b48b2cae45ab66","sha256:b7414c12a37753c55d5f56526bc0b0773f0c3fbf1024f2094e71a8e6ece2c642"],"state_sha256":"a85795d586957f5b954ac2fb757f21c9db43ee1cfd0ad103f8f7f986f4f42863"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6l/X3wQexXSVZNVq7zPt3Td5w3lcFAGTsm5k/lPSX/RAjQOkQSZ/Y4GS2EosmEluQCT7MisUezL19q0p1TLBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:07:08.086750Z","bundle_sha256":"61692526e45eafa3c10cb1ecf6e1da2258b05cfcf8e69f2230044be8174e7e91"}}