{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:IPNW2KODKXH5XTPMOOKO7G26Q6","short_pith_number":"pith:IPNW2KOD","canonical_record":{"source":{"id":"2304.13204","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-04-26T00:10:50Z","cross_cats_sorted":["cs.NA","math-ph","math.CV","math.MP"],"title_canon_sha256":"b0c5b64648fac35df5aac2684075ea93ecc0addac926873b5f94445b3c009815","abstract_canon_sha256":"1776b84034ab5dc14f704315746139fd66edebbfe349a161a631ad300013ad18"},"schema_version":"1.0"},"canonical_sha256":"43db6d29c355cfdbcdec7394ef9b5e8788431131007dcd5e94ec5999b7a219b1","source":{"kind":"arxiv","id":"2304.13204","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.13204","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2304.13204v1","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.13204","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"IPNW2KODKXH5","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"IPNW2KODKXH5XTPM","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"IPNW2KOD","created_at":"2026-07-05T06:04:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:IPNW2KODKXH5XTPMOOKO7G26Q6","target":"record","payload":{"canonical_record":{"source":{"id":"2304.13204","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-04-26T00:10:50Z","cross_cats_sorted":["cs.NA","math-ph","math.CV","math.MP"],"title_canon_sha256":"b0c5b64648fac35df5aac2684075ea93ecc0addac926873b5f94445b3c009815","abstract_canon_sha256":"1776b84034ab5dc14f704315746139fd66edebbfe349a161a631ad300013ad18"},"schema_version":"1.0"},"canonical_sha256":"43db6d29c355cfdbcdec7394ef9b5e8788431131007dcd5e94ec5999b7a219b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:04:41.010478Z","signature_b64":"/i3YMY2G5Wls+PX4xrrGF5plx1QZd108RBqYHvs/nkShom452wHymUwMTpcjX4zTvksyYYalslbPy3blidY0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43db6d29c355cfdbcdec7394ef9b5e8788431131007dcd5e94ec5999b7a219b1","last_reissued_at":"2026-07-05T06:04:41.010060Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:04:41.010060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.13204","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":"2026-07-05T06:04:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"78N++4y6AU5EaG3+DrbvEIJiNsPY4k9ZAWyjaXLbw7TdL3c2/CZoFcwGV0b235m7TkssNSujmtx+loNU38ybBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:23:15.922133Z"},"content_sha256":"cc4887e84c3ce92b2022e9780324cc4f379b766b655ee3a3f51c31209fc245eb","schema_version":"1.0","event_id":"sha256:cc4887e84c3ce92b2022e9780324cc4f379b766b655ee3a3f51c31209fc245eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:IPNW2KODKXH5XTPMOOKO7G26Q6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical methods for computing the discrete and continuous Laplace transforms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math-ph","math.CV","math.MP"],"primary_cat":"math.NA","authors_text":"Daxuan Deng, Ivo D. Dinov, Rongqian Zhang, Yueyang Shen, Yunjie Guo, Yupeng Zhang, Yuyao Liu","submitted_at":"2023-04-26T00:10:50Z","abstract_excerpt":"We propose a numerical method to spline-interpolate discrete signals and then apply the integral transforms to the corresponding analytical spline functions. This represents a robust and computationally efficient technique for estimating the Laplace transform for noisy data. We revisited a Meijer-G symbolic approach to compute the Laplace transform and alternative approaches to extend canonical observed time-series. A discrete quantization scheme provides the foundation for rapid and reliable estimation of the inverse Laplace transform. We derive theoretic estimates for the inverse Laplace tra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.13204","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/2304.13204/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":"2026-07-05T06:04:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVa2RUWVgnDsWM8RsXJ4VlI5ta+/fsdFtQvVu8bVk3P0jzX0ZqnUJ0samj2oG1JndxkyEm3CnnjWklIn1x9mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:23:15.922729Z"},"content_sha256":"aab2487913fc18b68d1a9296887770ba34db55f3dc79c08107b306e36bd1b5be","schema_version":"1.0","event_id":"sha256:aab2487913fc18b68d1a9296887770ba34db55f3dc79c08107b306e36bd1b5be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/bundle.json","state_url":"https://pith.science/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/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":"2026-08-16T05:23:15Z","links":{"resolver":"https://pith.science/pith/IPNW2KODKXH5XTPMOOKO7G26Q6","bundle":"https://pith.science/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/bundle.json","state":"https://pith.science/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPNW2KODKXH5XTPMOOKO7G26Q6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:IPNW2KODKXH5XTPMOOKO7G26Q6","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":"1776b84034ab5dc14f704315746139fd66edebbfe349a161a631ad300013ad18","cross_cats_sorted":["cs.NA","math-ph","math.CV","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-04-26T00:10:50Z","title_canon_sha256":"b0c5b64648fac35df5aac2684075ea93ecc0addac926873b5f94445b3c009815"},"schema_version":"1.0","source":{"id":"2304.13204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.13204","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2304.13204v1","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.13204","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"IPNW2KODKXH5","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"IPNW2KODKXH5XTPM","created_at":"2026-07-05T06:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"IPNW2KOD","created_at":"2026-07-05T06:04:41Z"}],"graph_snapshots":[{"event_id":"sha256:aab2487913fc18b68d1a9296887770ba34db55f3dc79c08107b306e36bd1b5be","target":"graph","created_at":"2026-07-05T06:04:41Z","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/2304.13204/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a numerical method to spline-interpolate discrete signals and then apply the integral transforms to the corresponding analytical spline functions. This represents a robust and computationally efficient technique for estimating the Laplace transform for noisy data. We revisited a Meijer-G symbolic approach to compute the Laplace transform and alternative approaches to extend canonical observed time-series. A discrete quantization scheme provides the foundation for rapid and reliable estimation of the inverse Laplace transform. We derive theoretic estimates for the inverse Laplace tra","authors_text":"Daxuan Deng, Ivo D. Dinov, Rongqian Zhang, Yueyang Shen, Yunjie Guo, Yupeng Zhang, Yuyao Liu","cross_cats":["cs.NA","math-ph","math.CV","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-04-26T00:10:50Z","title":"Numerical methods for computing the discrete and continuous Laplace transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.13204","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:cc4887e84c3ce92b2022e9780324cc4f379b766b655ee3a3f51c31209fc245eb","target":"record","created_at":"2026-07-05T06:04:41Z","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":"1776b84034ab5dc14f704315746139fd66edebbfe349a161a631ad300013ad18","cross_cats_sorted":["cs.NA","math-ph","math.CV","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-04-26T00:10:50Z","title_canon_sha256":"b0c5b64648fac35df5aac2684075ea93ecc0addac926873b5f94445b3c009815"},"schema_version":"1.0","source":{"id":"2304.13204","kind":"arxiv","version":1}},"canonical_sha256":"43db6d29c355cfdbcdec7394ef9b5e8788431131007dcd5e94ec5999b7a219b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43db6d29c355cfdbcdec7394ef9b5e8788431131007dcd5e94ec5999b7a219b1","first_computed_at":"2026-07-05T06:04:41.010060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:04:41.010060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/i3YMY2G5Wls+PX4xrrGF5plx1QZd108RBqYHvs/nkShom452wHymUwMTpcjX4zTvksyYYalslbPy3blidY0Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:04:41.010478Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.13204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc4887e84c3ce92b2022e9780324cc4f379b766b655ee3a3f51c31209fc245eb","sha256:aab2487913fc18b68d1a9296887770ba34db55f3dc79c08107b306e36bd1b5be"],"state_sha256":"63033ba8a8af9d6ac87a5225985d52d76e881ca7174decb8dd98a24fe8253b10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HbM/MYq9UvkSHIY1UkMKMQNtJ9D9Jo9Nf+jLppJCbWlmmQRgAnyFN4srWQUkAchYdHcHGJRnO+QwU3XMrqR5DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:23:15.926775Z","bundle_sha256":"8c8c35ca385f0173bfa5f1faef8f4eae1e58986282d1ea8ccfc629c229e4efc9"}}