{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4KR5AQ2LRCERT4EXEMV6SMJ7OC","short_pith_number":"pith:4KR5AQ2L","canonical_record":{"source":{"id":"1409.0854","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-02T19:43:41Z","cross_cats_sorted":[],"title_canon_sha256":"da3c6015d67d88d6e316b8e3a2cb95c8beed1de4d05c6c493527fbaea2b52024","abstract_canon_sha256":"4de2d88effc2066bc0a38eef240d4321f91edda2cb2cf9ddbb3e945ab40e8571"},"schema_version":"1.0"},"canonical_sha256":"e2a3d0434b888919f097232be9313f7096f648e02ad19032980287def266671e","source":{"kind":"arxiv","id":"1409.0854","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0854v5","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"4KR5AQ2LRCER","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KR5AQ2LRCERT4EX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KR5AQ2L","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4KR5AQ2LRCERT4EXEMV6SMJ7OC","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0854","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-02T19:43:41Z","cross_cats_sorted":[],"title_canon_sha256":"da3c6015d67d88d6e316b8e3a2cb95c8beed1de4d05c6c493527fbaea2b52024","abstract_canon_sha256":"4de2d88effc2066bc0a38eef240d4321f91edda2cb2cf9ddbb3e945ab40e8571"},"schema_version":"1.0"},"canonical_sha256":"e2a3d0434b888919f097232be9313f7096f648e02ad19032980287def266671e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:47.208113Z","signature_b64":"YJY2rXQ3cllQm/GmEWe3ybbS7HdOhxKworZvcL+dlfvYdMSx/JOryjwtCgRxUU3fUEgDUGS58i8/AV+MrS2+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2a3d0434b888919f097232be9313f7096f648e02ad19032980287def266671e","last_reissued_at":"2026-05-18T01:15:47.207635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:47.207635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0854","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RseyvdESFtaa3pQFrs9dsECACv1fq0mYaT9zYX0Frs7SPUOFEprMwCbz2PEhy+PMV42sHIbpMvlNs1U2D35xBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:54:29.088898Z"},"content_sha256":"3b8d4be81adce54d304ac7b07d23f7b4d114dadf2ea2a4a539faa28cded481e4","schema_version":"1.0","event_id":"sha256:3b8d4be81adce54d304ac7b07d23f7b4d114dadf2ea2a4a539faa28cded481e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4KR5AQ2LRCERT4EXEMV6SMJ7OC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Charge-Conserving Scatter-Gather Algorithm for Particle-in-Cell Simulations on Unstructured Grids: A Geometric Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fernando L. Teixeira, Haksu Moon, Yuri A. Omelchenko","submitted_at":"2014-09-02T19:43:41Z","abstract_excerpt":"We describe a charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids. Charge conservation is obtained from first principles, i.e., without the need for any post-processing or correction steps. This algorithm recovers, at a fundamental level, the scatter-gather algorithms presented recently by Campos-Pinto et al. [1] (to first-order) and by Squire et al. [2], but it is derived here in a streamlined fashion from a geometric viewpoint. Some ingredients reflecting this viewpoint are (1) the use of (discrete) differential forms of various degrees to repres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0854","kind":"arxiv","version":5},"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":"2026-05-18T01:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atDvg2T7iFpH9VDVCFTD+Iawq4AcZU7euMi4yq0LlXQnKrQNIVBIig+MvHPHLcCGrefxXnBIt5rCzzFtuHdjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:54:29.089435Z"},"content_sha256":"3abf0923693c11c6a70380407a6b95147b7f7ee40b8882b35fa114d5cade714d","schema_version":"1.0","event_id":"sha256:3abf0923693c11c6a70380407a6b95147b7f7ee40b8882b35fa114d5cade714d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/bundle.json","state_url":"https://pith.science/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/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":"2026-05-31T21:54:29Z","links":{"resolver":"https://pith.science/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC","bundle":"https://pith.science/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/bundle.json","state":"https://pith.science/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KR5AQ2LRCERT4EXEMV6SMJ7OC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4KR5AQ2LRCERT4EXEMV6SMJ7OC","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":"4de2d88effc2066bc0a38eef240d4321f91edda2cb2cf9ddbb3e945ab40e8571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-02T19:43:41Z","title_canon_sha256":"da3c6015d67d88d6e316b8e3a2cb95c8beed1de4d05c6c493527fbaea2b52024"},"schema_version":"1.0","source":{"id":"1409.0854","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0854v5","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"4KR5AQ2LRCER","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KR5AQ2LRCERT4EX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KR5AQ2L","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:3abf0923693c11c6a70380407a6b95147b7f7ee40b8882b35fa114d5cade714d","target":"graph","created_at":"2026-05-18T01:15:47Z","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":"We describe a charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids. Charge conservation is obtained from first principles, i.e., without the need for any post-processing or correction steps. This algorithm recovers, at a fundamental level, the scatter-gather algorithms presented recently by Campos-Pinto et al. [1] (to first-order) and by Squire et al. [2], but it is derived here in a streamlined fashion from a geometric viewpoint. Some ingredients reflecting this viewpoint are (1) the use of (discrete) differential forms of various degrees to repres","authors_text":"Fernando L. Teixeira, Haksu Moon, Yuri A. Omelchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-02T19:43:41Z","title":"Exact Charge-Conserving Scatter-Gather Algorithm for Particle-in-Cell Simulations on Unstructured Grids: A Geometric Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0854","kind":"arxiv","version":5},"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":"sha256:3b8d4be81adce54d304ac7b07d23f7b4d114dadf2ea2a4a539faa28cded481e4","target":"record","created_at":"2026-05-18T01:15:47Z","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":"4de2d88effc2066bc0a38eef240d4321f91edda2cb2cf9ddbb3e945ab40e8571","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-02T19:43:41Z","title_canon_sha256":"da3c6015d67d88d6e316b8e3a2cb95c8beed1de4d05c6c493527fbaea2b52024"},"schema_version":"1.0","source":{"id":"1409.0854","kind":"arxiv","version":5}},"canonical_sha256":"e2a3d0434b888919f097232be9313f7096f648e02ad19032980287def266671e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2a3d0434b888919f097232be9313f7096f648e02ad19032980287def266671e","first_computed_at":"2026-05-18T01:15:47.207635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:47.207635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YJY2rXQ3cllQm/GmEWe3ybbS7HdOhxKworZvcL+dlfvYdMSx/JOryjwtCgRxUU3fUEgDUGS58i8/AV+MrS2+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:47.208113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0854","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b8d4be81adce54d304ac7b07d23f7b4d114dadf2ea2a4a539faa28cded481e4","sha256:3abf0923693c11c6a70380407a6b95147b7f7ee40b8882b35fa114d5cade714d"],"state_sha256":"dea42c3a9a18fba80890bb3bbf874c8e89f029e26a3cfc9f4e8f3dc167e3f8db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S2PaHskiqCzqV/ccRvdDEFn2Xu/+TKR4LPc0t/9rlFafAzVDZun/QeVWDB4H5LPpwVG4HVlbYniM8P7hGrzHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:54:29.092728Z","bundle_sha256":"f9f0ec18f95f7075a9ddbd437c46597259d992e5550a1eef096ac3c0b7562c06"}}