{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ZJPJ2F43CTDIYT4YS2OH3CQPGC","short_pith_number":"pith:ZJPJ2F43","canonical_record":{"source":{"id":"2101.10825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2021-01-22T10:17:52Z","cross_cats_sorted":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"title_canon_sha256":"8b408ae4d8a16bd7817369664a3f7298d21e04f11d4c70c597dc3f27130474d2","abstract_canon_sha256":"5bd9c1cc2f30c3073ce2309fe14b996933fabae731a86227c3fd9f06ae699a1f"},"schema_version":"1.0"},"canonical_sha256":"ca5e9d179b14c68c4f98969c7d8a0f3099c6e94e268e84cf1e66bc271babf413","source":{"kind":"arxiv","id":"2101.10825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10825","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10825v1","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10825","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZJPJ2F43CTDI","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZJPJ2F43CTDIYT4Y","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZJPJ2F43","created_at":"2026-07-05T02:44:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ZJPJ2F43CTDIYT4YS2OH3CQPGC","target":"record","payload":{"canonical_record":{"source":{"id":"2101.10825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2021-01-22T10:17:52Z","cross_cats_sorted":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"title_canon_sha256":"8b408ae4d8a16bd7817369664a3f7298d21e04f11d4c70c597dc3f27130474d2","abstract_canon_sha256":"5bd9c1cc2f30c3073ce2309fe14b996933fabae731a86227c3fd9f06ae699a1f"},"schema_version":"1.0"},"canonical_sha256":"ca5e9d179b14c68c4f98969c7d8a0f3099c6e94e268e84cf1e66bc271babf413","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:44:35.495467Z","signature_b64":"AWzsqU5Zd1dutX2he19bRIWuQFZYa5/YmT7hKYB5YKWzkzmCuyzwhABXkxRpsoUzjkjKIpdNNtjI3x7tpjPQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca5e9d179b14c68c4f98969c7d8a0f3099c6e94e268e84cf1e66bc271babf413","last_reissued_at":"2026-07-05T02:44:35.495056Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:44:35.495056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.10825","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":"2026-07-05T02:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/hvUJywlkoRIvjkc+pToHeUHD72SncnIUFPnSRoxolY/O4Lr4OTqjQXdGnkbaslUOM3JVbe7656hC2bLqaIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:07:10.145054Z"},"content_sha256":"9868bcc169ffbbc282b7c74e87be380046f70238adae95f2f02f34a2e97fd1c5","schema_version":"1.0","event_id":"sha256:9868bcc169ffbbc282b7c74e87be380046f70238adae95f2f02f34a2e97fd1c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ZJPJ2F43CTDIYT4YS2OH3CQPGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Propagation and reconstruction of re-entry uncertainties using continuity equation and simplicial interpolation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"primary_cat":"cs.CE","authors_text":"Camilla Colombo, Mirko Trisolini","submitted_at":"2021-01-22T10:17:52Z","abstract_excerpt":"This work proposes a continuum-based approach for the propagation of uncertainties in the initial conditions and parameters for the analysis and prediction of spacecraft re-entries. Using the continuity equation together with the re-entry dynamics, the joint probability distribution of the uncertainties is propagated in time for specific sampled points. At each time instant, the joint probability distribution function is then reconstructed from the scattered data using a gradient-enhanced linear interpolation based on a simplicial representation of the state space. Uncertainties in the initial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10825","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.10825/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":"2026-07-05T02:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ddE0VnWBhr6+qrCvpsCK1G6/pVnZRh3DzBuktCEcOvMMPOMIINYPcWx9cyIlucyYSfPwfhb/FKBudLY1GtF8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:07:10.145459Z"},"content_sha256":"bb2693d3b95834794064798dde0351f9cfd8254143bae432ebba7982121b9ce6","schema_version":"1.0","event_id":"sha256:bb2693d3b95834794064798dde0351f9cfd8254143bae432ebba7982121b9ce6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/bundle.json","state_url":"https://pith.science/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/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":"2026-07-07T10:07:10Z","links":{"resolver":"https://pith.science/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC","bundle":"https://pith.science/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/bundle.json","state":"https://pith.science/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJPJ2F43CTDIYT4YS2OH3CQPGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZJPJ2F43CTDIYT4YS2OH3CQPGC","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":"5bd9c1cc2f30c3073ce2309fe14b996933fabae731a86227c3fd9f06ae699a1f","cross_cats_sorted":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2021-01-22T10:17:52Z","title_canon_sha256":"8b408ae4d8a16bd7817369664a3f7298d21e04f11d4c70c597dc3f27130474d2"},"schema_version":"1.0","source":{"id":"2101.10825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10825","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10825v1","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10825","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZJPJ2F43CTDI","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZJPJ2F43CTDIYT4Y","created_at":"2026-07-05T02:44:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZJPJ2F43","created_at":"2026-07-05T02:44:35Z"}],"graph_snapshots":[{"event_id":"sha256:bb2693d3b95834794064798dde0351f9cfd8254143bae432ebba7982121b9ce6","target":"graph","created_at":"2026-07-05T02:44:35Z","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/2101.10825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work proposes a continuum-based approach for the propagation of uncertainties in the initial conditions and parameters for the analysis and prediction of spacecraft re-entries. Using the continuity equation together with the re-entry dynamics, the joint probability distribution of the uncertainties is propagated in time for specific sampled points. At each time instant, the joint probability distribution function is then reconstructed from the scattered data using a gradient-enhanced linear interpolation based on a simplicial representation of the state space. Uncertainties in the initial","authors_text":"Camilla Colombo, Mirko Trisolini","cross_cats":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2021-01-22T10:17:52Z","title":"Propagation and reconstruction of re-entry uncertainties using continuity equation and simplicial interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10825","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":"sha256:9868bcc169ffbbc282b7c74e87be380046f70238adae95f2f02f34a2e97fd1c5","target":"record","created_at":"2026-07-05T02:44:35Z","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":"5bd9c1cc2f30c3073ce2309fe14b996933fabae731a86227c3fd9f06ae699a1f","cross_cats_sorted":["astro-ph.EP","astro-ph.IM","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CE","submitted_at":"2021-01-22T10:17:52Z","title_canon_sha256":"8b408ae4d8a16bd7817369664a3f7298d21e04f11d4c70c597dc3f27130474d2"},"schema_version":"1.0","source":{"id":"2101.10825","kind":"arxiv","version":1}},"canonical_sha256":"ca5e9d179b14c68c4f98969c7d8a0f3099c6e94e268e84cf1e66bc271babf413","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca5e9d179b14c68c4f98969c7d8a0f3099c6e94e268e84cf1e66bc271babf413","first_computed_at":"2026-07-05T02:44:35.495056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:44:35.495056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AWzsqU5Zd1dutX2he19bRIWuQFZYa5/YmT7hKYB5YKWzkzmCuyzwhABXkxRpsoUzjkjKIpdNNtjI3x7tpjPQBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:44:35.495467Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.10825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9868bcc169ffbbc282b7c74e87be380046f70238adae95f2f02f34a2e97fd1c5","sha256:bb2693d3b95834794064798dde0351f9cfd8254143bae432ebba7982121b9ce6"],"state_sha256":"63d55b2c8d300cf78d8a4abb86ac059e018f196272ce49475919fd4f4c5782f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uplhd6pXKQTlGGAEnp0KVY3nCU8ADgQyLyJ6wav7/QgcWcpfa/qn9lzMVmyYzdSY/V1wFI4xBY6oMeIPjdfvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:07:10.147401Z","bundle_sha256":"41c1276dbd4c0915e7a369d1bd766e2e811ca094ff22a1fa7189c2639482a857"}}