{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ZSKAKJXNALDEFOAL2OZ6FP4KV2","short_pith_number":"pith:ZSKAKJXN","canonical_record":{"source":{"id":"2601.10885","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-01-15T22:31:26Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"d33269c37a411f293a4c17ed0ba3dd853d2c684f0bb27eeb8eb94aa414715bd4","abstract_canon_sha256":"a6c6ded76aea2c88d9d7c52c7cb0fe9172388a94225cd7aaa05b1da40d214a63"},"schema_version":"1.0"},"canonical_sha256":"cc940526ed02c642b80bd3b3e2bf8aae9f5edd2eebfb875c0766bae5965bfcd3","source":{"kind":"arxiv","id":"2601.10885","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.10885","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"arxiv_version","alias_value":"2601.10885v2","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.10885","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZSKAKJXNALDE","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_16","alias_value":"ZSKAKJXNALDEFOAL","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_8","alias_value":"ZSKAKJXN","created_at":"2026-06-04T01:08:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ZSKAKJXNALDEFOAL2OZ6FP4KV2","target":"record","payload":{"canonical_record":{"source":{"id":"2601.10885","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-01-15T22:31:26Z","cross_cats_sorted":["cs.LG","physics.comp-ph"],"title_canon_sha256":"d33269c37a411f293a4c17ed0ba3dd853d2c684f0bb27eeb8eb94aa414715bd4","abstract_canon_sha256":"a6c6ded76aea2c88d9d7c52c7cb0fe9172388a94225cd7aaa05b1da40d214a63"},"schema_version":"1.0"},"canonical_sha256":"cc940526ed02c642b80bd3b3e2bf8aae9f5edd2eebfb875c0766bae5965bfcd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:08:40.027972Z","signature_b64":"Mi8IdD/N7gWa8XQrITsoac5lQ+GnlGaQwOXl+ygGv7wQNh/2DvZWiMSxTAHaI0EyUs5+OxD0PRZ5Fi04dIphBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc940526ed02c642b80bd3b3e2bf8aae9f5edd2eebfb875c0766bae5965bfcd3","last_reissued_at":"2026-06-04T01:08:40.026979Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:08:40.026979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.10885","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":"2026-06-04T01:08:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xwoQmiAUkKzHYwX6K1e8U4x/Qb6vQk9MsDeiICpKbHpfBwSEQAd62XacxHBOs6r0NchirIPc5/8bKvHuVLXyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:35:54.557408Z"},"content_sha256":"3736187aea92c826aede844e4dd2c3b44f1224eaf2fce86dbf27662e6e84a5d8","schema_version":"1.0","event_id":"sha256:3736187aea92c826aede844e4dd2c3b44f1224eaf2fce86dbf27662e6e84a5d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ZSKAKJXNALDEFOAL2OZ6FP4KV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning collision operators from plasma phase space data using differentiable simulators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","physics.comp-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Diogo D. Carvalho, E. Paulo Alves, Luis O. Silva, Pablo J. Bilbao, Warren B. Mori","submitted_at":"2026-01-15T22:31:26Z","abstract_excerpt":"We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a gradient-based optimisation method to learn the collisional operators that best describe the phase space dynamics. We test our method using data from two-dimensional Particle-in-Cell simulations of spatially uniform thermal plasmas, and learn the collision operator that captures the self-consistent electromagnetic interaction between finite-size charged particl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.10885","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/2601.10885/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":"2026-06-04T01:08:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8IM7BouN1KLoZhJxnhfb6YBHTOy+HAgCYZdKyGRYCZ3BmaEOWrOC0BkGNC7N88+dwJbaq8h4gPM3Sb+Yf1YDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:35:54.558082Z"},"content_sha256":"f6c80b92551bcb887d3cd3762a4c577bb812ee0ef30efeb47f3ca6c25493f2bf","schema_version":"1.0","event_id":"sha256:f6c80b92551bcb887d3cd3762a4c577bb812ee0ef30efeb47f3ca6c25493f2bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/bundle.json","state_url":"https://pith.science/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/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":"2026-06-06T22:35:54Z","links":{"resolver":"https://pith.science/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2","bundle":"https://pith.science/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/bundle.json","state":"https://pith.science/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSKAKJXNALDEFOAL2OZ6FP4KV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZSKAKJXNALDEFOAL2OZ6FP4KV2","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":"a6c6ded76aea2c88d9d7c52c7cb0fe9172388a94225cd7aaa05b1da40d214a63","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-01-15T22:31:26Z","title_canon_sha256":"d33269c37a411f293a4c17ed0ba3dd853d2c684f0bb27eeb8eb94aa414715bd4"},"schema_version":"1.0","source":{"id":"2601.10885","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.10885","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"arxiv_version","alias_value":"2601.10885v2","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.10885","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZSKAKJXNALDE","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_16","alias_value":"ZSKAKJXNALDEFOAL","created_at":"2026-06-04T01:08:40Z"},{"alias_kind":"pith_short_8","alias_value":"ZSKAKJXN","created_at":"2026-06-04T01:08:40Z"}],"graph_snapshots":[{"event_id":"sha256:f6c80b92551bcb887d3cd3762a4c577bb812ee0ef30efeb47f3ca6c25493f2bf","target":"graph","created_at":"2026-06-04T01:08:40Z","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/2601.10885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a gradient-based optimisation method to learn the collisional operators that best describe the phase space dynamics. We test our method using data from two-dimensional Particle-in-Cell simulations of spatially uniform thermal plasmas, and learn the collision operator that captures the self-consistent electromagnetic interaction between finite-size charged particl","authors_text":"Diogo D. Carvalho, E. Paulo Alves, Luis O. Silva, Pablo J. Bilbao, Warren B. Mori","cross_cats":["cs.LG","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-01-15T22:31:26Z","title":"Learning collision operators from plasma phase space data using differentiable simulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.10885","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":"sha256:3736187aea92c826aede844e4dd2c3b44f1224eaf2fce86dbf27662e6e84a5d8","target":"record","created_at":"2026-06-04T01:08:40Z","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":"a6c6ded76aea2c88d9d7c52c7cb0fe9172388a94225cd7aaa05b1da40d214a63","cross_cats_sorted":["cs.LG","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-01-15T22:31:26Z","title_canon_sha256":"d33269c37a411f293a4c17ed0ba3dd853d2c684f0bb27eeb8eb94aa414715bd4"},"schema_version":"1.0","source":{"id":"2601.10885","kind":"arxiv","version":2}},"canonical_sha256":"cc940526ed02c642b80bd3b3e2bf8aae9f5edd2eebfb875c0766bae5965bfcd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc940526ed02c642b80bd3b3e2bf8aae9f5edd2eebfb875c0766bae5965bfcd3","first_computed_at":"2026-06-04T01:08:40.026979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:08:40.026979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mi8IdD/N7gWa8XQrITsoac5lQ+GnlGaQwOXl+ygGv7wQNh/2DvZWiMSxTAHaI0EyUs5+OxD0PRZ5Fi04dIphBQ==","signature_status":"signed_v1","signed_at":"2026-06-04T01:08:40.027972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.10885","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3736187aea92c826aede844e4dd2c3b44f1224eaf2fce86dbf27662e6e84a5d8","sha256:f6c80b92551bcb887d3cd3762a4c577bb812ee0ef30efeb47f3ca6c25493f2bf"],"state_sha256":"3ede9d45e7a1afc5551072fa2fdd62256bb882aa34324e620b8135ed7a35025f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTpgb/3lneQ97Q79So+OVlMA5WIwxPh/FNSuFBGIeHceqqnracC1x05GWFWQiF8aYYHq5hJlNqEb97tkBMaxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T22:35:54.561481Z","bundle_sha256":"a03a0f8a72403b845b991e1ad816fe81a74f79af727f5d45df3316770c7248a5"}}