{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:VXB23K2ZPB2NG7CJ7MTVVXA6VC","short_pith_number":"pith:VXB23K2Z","canonical_record":{"source":{"id":"2012.11303","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2020-12-21T13:04:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0efe40aadad2e13bc60a9eb1449ccaf5ad31c115b6ad9d5224dcd3b503280f78","abstract_canon_sha256":"d86d2705faf7c7ae37e7f601993ebc3aa614bfff0a2f74d064b60f12f6468a16"},"schema_version":"1.0"},"canonical_sha256":"adc3adab597874d37c49fb275adc1ea8a60b87744407552ad3d4d8e6702ccbd5","source":{"kind":"arxiv","id":"2012.11303","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.11303","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"2012.11303v1","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.11303","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"VXB23K2ZPB2N","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_16","alias_value":"VXB23K2ZPB2NG7CJ","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_8","alias_value":"VXB23K2Z","created_at":"2026-07-05T02:01:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:VXB23K2ZPB2NG7CJ7MTVVXA6VC","target":"record","payload":{"canonical_record":{"source":{"id":"2012.11303","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2020-12-21T13:04:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"0efe40aadad2e13bc60a9eb1449ccaf5ad31c115b6ad9d5224dcd3b503280f78","abstract_canon_sha256":"d86d2705faf7c7ae37e7f601993ebc3aa614bfff0a2f74d064b60f12f6468a16"},"schema_version":"1.0"},"canonical_sha256":"adc3adab597874d37c49fb275adc1ea8a60b87744407552ad3d4d8e6702ccbd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:01:00.794428Z","signature_b64":"4jtjL4E4sX4QSiZRX7ulpSKiNOMsssjpPdmS7yADzTsztvr1fSkh7nDzNPvvInL4pvPl0X2VOKTcbCfoLfzlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adc3adab597874d37c49fb275adc1ea8a60b87744407552ad3d4d8e6702ccbd5","last_reissued_at":"2026-07-05T02:01:00.794047Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:01:00.794047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.11303","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":"2026-07-05T02:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a35jdLtmrTNvxTZqFhiLvHo7zP1xRyAOVZ1knNM6+wRL7Kjy80yO+JeGbnPElp6K9l0xwP8mhooKX4vkNitIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T00:22:10.155267Z"},"content_sha256":"2749d29fb99cdea992cc5f9828613a3bdb1d6121cf5997e5e36e9c280ca85192","schema_version":"1.0","event_id":"sha256:2749d29fb99cdea992cc5f9828613a3bdb1d6121cf5997e5e36e9c280ca85192"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:VXB23K2ZPB2NG7CJ7MTVVXA6VC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BLUES iteration applied to nonlinear ordinary differential equations for wave propagation and heat transfer","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"nlin.PS","authors_text":"Jonas Berx, Joseph O. Indekeu","submitted_at":"2020-12-21T13:04:19Z","abstract_excerpt":"The iteration sequence based on the BLUES (Beyond Linear Use of Equation Superposition) function method for calculating analytic approximants to solutions of nonlinear ordinary differential equations with sources is elaborated upon. Diverse problems in physics are studied and approximate analytic solutions are found. We first treat a damped driven nonlinear oscillator and show that the method can correctly reproduce oscillatory behaviour. Next, a fractional differential equation describing heat transfer in a semi-infinite rod with Stefan-Boltzmann cooling is handled. In this case, a detailed c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.11303","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/2012.11303/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":"2026-07-05T02:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jO2Su7f33CTBDbAT/66cL3fb8aTD1PoKxzRwINbIC7zT+OOhyhPRLtzV1l71fqC62QUa9P72mdQGnELgPnOdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T00:22:10.155669Z"},"content_sha256":"fd2718e488db7baaa9ea426154b26e07ced63c16551802eaafea8bf95794e27e","schema_version":"1.0","event_id":"sha256:fd2718e488db7baaa9ea426154b26e07ced63c16551802eaafea8bf95794e27e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/bundle.json","state_url":"https://pith.science/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/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":"2026-07-15T00:22:10Z","links":{"resolver":"https://pith.science/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC","bundle":"https://pith.science/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/bundle.json","state":"https://pith.science/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXB23K2ZPB2NG7CJ7MTVVXA6VC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VXB23K2ZPB2NG7CJ7MTVVXA6VC","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":"d86d2705faf7c7ae37e7f601993ebc3aa614bfff0a2f74d064b60f12f6468a16","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2020-12-21T13:04:19Z","title_canon_sha256":"0efe40aadad2e13bc60a9eb1449ccaf5ad31c115b6ad9d5224dcd3b503280f78"},"schema_version":"1.0","source":{"id":"2012.11303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.11303","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"2012.11303v1","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.11303","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"VXB23K2ZPB2N","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_16","alias_value":"VXB23K2ZPB2NG7CJ","created_at":"2026-07-05T02:01:00Z"},{"alias_kind":"pith_short_8","alias_value":"VXB23K2Z","created_at":"2026-07-05T02:01:00Z"}],"graph_snapshots":[{"event_id":"sha256:fd2718e488db7baaa9ea426154b26e07ced63c16551802eaafea8bf95794e27e","target":"graph","created_at":"2026-07-05T02:01:00Z","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/2012.11303/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The iteration sequence based on the BLUES (Beyond Linear Use of Equation Superposition) function method for calculating analytic approximants to solutions of nonlinear ordinary differential equations with sources is elaborated upon. Diverse problems in physics are studied and approximate analytic solutions are found. We first treat a damped driven nonlinear oscillator and show that the method can correctly reproduce oscillatory behaviour. Next, a fractional differential equation describing heat transfer in a semi-infinite rod with Stefan-Boltzmann cooling is handled. In this case, a detailed c","authors_text":"Jonas Berx, Joseph O. Indekeu","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2020-12-21T13:04:19Z","title":"BLUES iteration applied to nonlinear ordinary differential equations for wave propagation and heat transfer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.11303","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":"sha256:2749d29fb99cdea992cc5f9828613a3bdb1d6121cf5997e5e36e9c280ca85192","target":"record","created_at":"2026-07-05T02:01:00Z","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":"d86d2705faf7c7ae37e7f601993ebc3aa614bfff0a2f74d064b60f12f6468a16","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2020-12-21T13:04:19Z","title_canon_sha256":"0efe40aadad2e13bc60a9eb1449ccaf5ad31c115b6ad9d5224dcd3b503280f78"},"schema_version":"1.0","source":{"id":"2012.11303","kind":"arxiv","version":1}},"canonical_sha256":"adc3adab597874d37c49fb275adc1ea8a60b87744407552ad3d4d8e6702ccbd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adc3adab597874d37c49fb275adc1ea8a60b87744407552ad3d4d8e6702ccbd5","first_computed_at":"2026-07-05T02:01:00.794047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:01:00.794047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4jtjL4E4sX4QSiZRX7ulpSKiNOMsssjpPdmS7yADzTsztvr1fSkh7nDzNPvvInL4pvPl0X2VOKTcbCfoLfzlDg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:01:00.794428Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.11303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2749d29fb99cdea992cc5f9828613a3bdb1d6121cf5997e5e36e9c280ca85192","sha256:fd2718e488db7baaa9ea426154b26e07ced63c16551802eaafea8bf95794e27e"],"state_sha256":"41b2fab83e23834bc92c66f2748decf7c8b562d1a7cf804ca1e35fa014821140"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXJUb60FSV64OLmt0fn6G1LZTRatfHN6CkNARhsVzMajndci9aFGPDwilJimykeNxOJmp80Uyo3QMvcUzR6NDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-15T00:22:10.158009Z","bundle_sha256":"b0a6a62a412cec90d1815c4f9784c781df933387bfb4fc72300d6691543a0fcd"}}