{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VKYKUP7PHGRKSCZCTG6CQNZAHG","short_pith_number":"pith:VKYKUP7P","canonical_record":{"source":{"id":"2402.02247","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-03T19:27:09Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"3608b726e0e5b069bdf85d2babf9319db89a1efbfee30b28b78ab0f5b7119c62","abstract_canon_sha256":"e7343a8c85541b339b02f4f813ed7e9a5ceaad3d57319a44e5cc054f9b5eb5ee"},"schema_version":"1.0"},"canonical_sha256":"aab0aa3fef39a2a90b2299bc283720399e2fc6e6b647991dc2820ca2f3afb2d6","source":{"kind":"arxiv","id":"2402.02247","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02247","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02247v3","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02247","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"VKYKUP7PHGRK","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"VKYKUP7PHGRKSCZC","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"VKYKUP7P","created_at":"2026-06-02T01:03:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VKYKUP7PHGRKSCZCTG6CQNZAHG","target":"record","payload":{"canonical_record":{"source":{"id":"2402.02247","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-03T19:27:09Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"3608b726e0e5b069bdf85d2babf9319db89a1efbfee30b28b78ab0f5b7119c62","abstract_canon_sha256":"e7343a8c85541b339b02f4f813ed7e9a5ceaad3d57319a44e5cc054f9b5eb5ee"},"schema_version":"1.0"},"canonical_sha256":"aab0aa3fef39a2a90b2299bc283720399e2fc6e6b647991dc2820ca2f3afb2d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:28.240532Z","signature_b64":"MM5LxGS53Jhw4MG+LZE4XuPA5fLXbs38qYNQBrkwlT4qGFlbWSq0oXoVEikoQo1R1CfkX/L7Jmjcr48dPn6QAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aab0aa3fef39a2a90b2299bc283720399e2fc6e6b647991dc2820ca2f3afb2d6","last_reissued_at":"2026-06-02T01:03:28.240075Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:28.240075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.02247","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":"2026-06-02T01:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6IclOLixYSVym2TbaDWiqImPQGBFuMdM3F/ItudDOEKn4xzTanEGH68Zb60lYaoihveKHrjcHAqOWypoCiuKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:58:35.185570Z"},"content_sha256":"541619c99bd76f2d7fd4d3e44e80adc396ba76248fd30fa8377370a73c8e0402","schema_version":"1.0","event_id":"sha256:541619c99bd76f2d7fd4d3e44e80adc396ba76248fd30fa8377370a73c8e0402"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VKYKUP7PHGRKSCZCTG6CQNZAHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel approaches for the reliable and efficient numerical evaluation of Landau-type operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Jose Antonio Carrillo, Mechthild Thalhammer","submitted_at":"2024-02-03T19:27:09Z","abstract_excerpt":"Numerical approximations of Landau-type operators represent fundamental components of time integration methods for demanding problems such as inhomogeneous Vlasov-Landau-type equations. Substantial computational issues arise from the treatment of the physically most relevant three-dimensional case with Coulomb-type interaction. This work is concerned with the introduction and numerical comparison of novel approaches for the reliable and efficient evaluation of Landau-type collision operators, where the focus is on the treatment of integral operators involving general singular kernels. In the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02247","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.02247/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":"2026-06-02T01:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZOAk7b9UlN3bQ7ZpYgoFMZeGVyXyxy5Q4DeU9TcEIboIW3A6lyZiaS+LOjhU7rADtQGm7RUL7JWDmHRJQrHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:58:35.185965Z"},"content_sha256":"48349fa7d4302742c2b842273e89281026d7e076ae483979bcd5319573677586","schema_version":"1.0","event_id":"sha256:48349fa7d4302742c2b842273e89281026d7e076ae483979bcd5319573677586"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/bundle.json","state_url":"https://pith.science/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/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":"2026-06-10T22:58:35Z","links":{"resolver":"https://pith.science/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG","bundle":"https://pith.science/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/bundle.json","state":"https://pith.science/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VKYKUP7PHGRKSCZCTG6CQNZAHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VKYKUP7PHGRKSCZCTG6CQNZAHG","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":"e7343a8c85541b339b02f4f813ed7e9a5ceaad3d57319a44e5cc054f9b5eb5ee","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-03T19:27:09Z","title_canon_sha256":"3608b726e0e5b069bdf85d2babf9319db89a1efbfee30b28b78ab0f5b7119c62"},"schema_version":"1.0","source":{"id":"2402.02247","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.02247","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2402.02247v3","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.02247","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"VKYKUP7PHGRK","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"VKYKUP7PHGRKSCZC","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"VKYKUP7P","created_at":"2026-06-02T01:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:48349fa7d4302742c2b842273e89281026d7e076ae483979bcd5319573677586","target":"graph","created_at":"2026-06-02T01:03:28Z","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/2402.02247/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical approximations of Landau-type operators represent fundamental components of time integration methods for demanding problems such as inhomogeneous Vlasov-Landau-type equations. Substantial computational issues arise from the treatment of the physically most relevant three-dimensional case with Coulomb-type interaction. This work is concerned with the introduction and numerical comparison of novel approaches for the reliable and efficient evaluation of Landau-type collision operators, where the focus is on the treatment of integral operators involving general singular kernels. In the s","authors_text":"Jose Antonio Carrillo, Mechthild Thalhammer","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-03T19:27:09Z","title":"Novel approaches for the reliable and efficient numerical evaluation of Landau-type operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.02247","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":"sha256:541619c99bd76f2d7fd4d3e44e80adc396ba76248fd30fa8377370a73c8e0402","target":"record","created_at":"2026-06-02T01:03:28Z","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":"e7343a8c85541b339b02f4f813ed7e9a5ceaad3d57319a44e5cc054f9b5eb5ee","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-03T19:27:09Z","title_canon_sha256":"3608b726e0e5b069bdf85d2babf9319db89a1efbfee30b28b78ab0f5b7119c62"},"schema_version":"1.0","source":{"id":"2402.02247","kind":"arxiv","version":3}},"canonical_sha256":"aab0aa3fef39a2a90b2299bc283720399e2fc6e6b647991dc2820ca2f3afb2d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aab0aa3fef39a2a90b2299bc283720399e2fc6e6b647991dc2820ca2f3afb2d6","first_computed_at":"2026-06-02T01:03:28.240075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:28.240075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MM5LxGS53Jhw4MG+LZE4XuPA5fLXbs38qYNQBrkwlT4qGFlbWSq0oXoVEikoQo1R1CfkX/L7Jmjcr48dPn6QAg==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:28.240532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.02247","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:541619c99bd76f2d7fd4d3e44e80adc396ba76248fd30fa8377370a73c8e0402","sha256:48349fa7d4302742c2b842273e89281026d7e076ae483979bcd5319573677586"],"state_sha256":"db8cd649a3bf7e19c6f8f2640d0676e697bd37047b8eb85fe9bb44eb642f3539"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pa2wJF5VuIq/c9knx+vfVKOqshkprUUQNvssW7ZkYSwjRQwGJnoX+VibvQD3FyVt7En28bng5Hz22v41za6yBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:58:35.188671Z","bundle_sha256":"6c1df504d7b9df65f214ffac41d26050c44efec259b2590369731618ff23bb4e"}}