{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JGAWNIFO7NKYYD7YPE6LNWGV3A","short_pith_number":"pith:JGAWNIFO","canonical_record":{"source":{"id":"1608.01125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-08-03T09:20:32Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"aadfa2647a9f34a14f67bcae8762f7e80100b81bece22d808e11f265d0c2b79c","abstract_canon_sha256":"eb0ca02632f8b8a53812cde19356902ed998377110d97aa4bf06da852067903a"},"schema_version":"1.0"},"canonical_sha256":"498166a0aefb558c0ff8793cb6d8d5d82c656a4cad958784fca113955e5f8a2c","source":{"kind":"arxiv","id":"1608.01125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01125","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01125v1","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01125","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"JGAWNIFO7NKY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JGAWNIFO7NKYYD7Y","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JGAWNIFO","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JGAWNIFO7NKYYD7YPE6LNWGV3A","target":"record","payload":{"canonical_record":{"source":{"id":"1608.01125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-08-03T09:20:32Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"aadfa2647a9f34a14f67bcae8762f7e80100b81bece22d808e11f265d0c2b79c","abstract_canon_sha256":"eb0ca02632f8b8a53812cde19356902ed998377110d97aa4bf06da852067903a"},"schema_version":"1.0"},"canonical_sha256":"498166a0aefb558c0ff8793cb6d8d5d82c656a4cad958784fca113955e5f8a2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:56.527585Z","signature_b64":"Q2hcPyrhhNs0JWjvtyWRJDfyfRMOeosLposVy4JkN2chJ8KWYgtSYklsdQbw/XD3ob3mxvjr/QbwZAVu1oJmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"498166a0aefb558c0ff8793cb6d8d5d82c656a4cad958784fca113955e5f8a2c","last_reissued_at":"2026-05-18T01:09:56.526754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:56.526754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.01125","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":"2026-05-18T01:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKI93yUGsfBr+qG3CYY/4w6/1wXGMt2bpfCZb3mU8NWfwp4+cblKbxTtD15Pp87R7/6yCggY03b3NATwCs21Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:12:20.952962Z"},"content_sha256":"d149aaf50058c85f4a7a5e1ae407fdcd0d8f609f3cb57aec2836b06a1029273b","schema_version":"1.0","event_id":"sha256:d149aaf50058c85f4a7a5e1ae407fdcd0d8f609f3cb57aec2836b06a1029273b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JGAWNIFO7NKYYD7YPE6LNWGV3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tree Code for Collision Detection of Large Numbers of Particles Application for the Breit-Wheeler Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"physics.comp-ph","authors_text":"Emmanuel d'Humi\\`eres, Oliver Jansen, Sophie Jequier, Vladimir Tikhonchuk, Xavier Ribeyre","submitted_at":"2016-08-03T09:20:32Z","abstract_excerpt":"Collision detection of a large number N of particles can be challenging. Directly testing N particles for collision among each other leads to N 2 queries. Especially in scenarios, where fast, densely packed particles interact, challenges arise for classical methods like Particle-in-Cell or Monte-Carlo. Modern collision detection methods utilising bounding volume hierarchies are suitable to overcome these challenges and allow a detailed analysis of the interaction of large number of particles. This approach is applied to the analysis of the collision of two photon beams leading to the creation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01125","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":""},"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":"2026-05-18T01:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TkAWVfHncX70foi4TCjdAfwUmwMZfNVPJk69p8kxAbRT+TjyUDjjUWyvs80qEtOj2ZRxkDwo9SWEfSs3k/ZeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:12:20.953307Z"},"content_sha256":"4172a09441c88ff3f2c10ae68da1e728171e96bf878891612e334edffcf2a4ec","schema_version":"1.0","event_id":"sha256:4172a09441c88ff3f2c10ae68da1e728171e96bf878891612e334edffcf2a4ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/bundle.json","state_url":"https://pith.science/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/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":"2026-06-05T12:12:20Z","links":{"resolver":"https://pith.science/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A","bundle":"https://pith.science/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/bundle.json","state":"https://pith.science/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGAWNIFO7NKYYD7YPE6LNWGV3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JGAWNIFO7NKYYD7YPE6LNWGV3A","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":"eb0ca02632f8b8a53812cde19356902ed998377110d97aa4bf06da852067903a","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-08-03T09:20:32Z","title_canon_sha256":"aadfa2647a9f34a14f67bcae8762f7e80100b81bece22d808e11f265d0c2b79c"},"schema_version":"1.0","source":{"id":"1608.01125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01125","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01125v1","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01125","created_at":"2026-05-18T01:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"JGAWNIFO7NKY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JGAWNIFO7NKYYD7Y","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JGAWNIFO","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:4172a09441c88ff3f2c10ae68da1e728171e96bf878891612e334edffcf2a4ec","target":"graph","created_at":"2026-05-18T01:09:56Z","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":"Collision detection of a large number N of particles can be challenging. Directly testing N particles for collision among each other leads to N 2 queries. Especially in scenarios, where fast, densely packed particles interact, challenges arise for classical methods like Particle-in-Cell or Monte-Carlo. Modern collision detection methods utilising bounding volume hierarchies are suitable to overcome these challenges and allow a detailed analysis of the interaction of large number of particles. This approach is applied to the analysis of the collision of two photon beams leading to the creation ","authors_text":"Emmanuel d'Humi\\`eres, Oliver Jansen, Sophie Jequier, Vladimir Tikhonchuk, Xavier Ribeyre","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-08-03T09:20:32Z","title":"Tree Code for Collision Detection of Large Numbers of Particles Application for the Breit-Wheeler Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01125","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:d149aaf50058c85f4a7a5e1ae407fdcd0d8f609f3cb57aec2836b06a1029273b","target":"record","created_at":"2026-05-18T01:09:56Z","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":"eb0ca02632f8b8a53812cde19356902ed998377110d97aa4bf06da852067903a","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-08-03T09:20:32Z","title_canon_sha256":"aadfa2647a9f34a14f67bcae8762f7e80100b81bece22d808e11f265d0c2b79c"},"schema_version":"1.0","source":{"id":"1608.01125","kind":"arxiv","version":1}},"canonical_sha256":"498166a0aefb558c0ff8793cb6d8d5d82c656a4cad958784fca113955e5f8a2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"498166a0aefb558c0ff8793cb6d8d5d82c656a4cad958784fca113955e5f8a2c","first_computed_at":"2026-05-18T01:09:56.526754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:56.526754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2hcPyrhhNs0JWjvtyWRJDfyfRMOeosLposVy4JkN2chJ8KWYgtSYklsdQbw/XD3ob3mxvjr/QbwZAVu1oJmBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:56.527585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.01125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d149aaf50058c85f4a7a5e1ae407fdcd0d8f609f3cb57aec2836b06a1029273b","sha256:4172a09441c88ff3f2c10ae68da1e728171e96bf878891612e334edffcf2a4ec"],"state_sha256":"555beb691d198e4be0370747aa53061fc1fea89c8ceff84451c0b85b62607175"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdik+UPTRhYepDGwTjcJv+XsY3d/+sbBJVP/7nEr1ZkCEBBV4xX6eyApHAPbejAjWzNpps6ni4r5zZ6z7WgeDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:12:20.955268Z","bundle_sha256":"1de75e7de39ea7192e3b12d7bccd6d485651cbf88a06d1008fd0d02dbad3c37d"}}