{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MNJ4CWLFVTURHI6XHBKGPLSO6C","short_pith_number":"pith:MNJ4CWLF","canonical_record":{"source":{"id":"2506.20478","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-25T14:23:38Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"89618aa5432fa2dc8a3ba24c6813eba57ffe4abff9d421732a97baa71c177c5d","abstract_canon_sha256":"450627c367f8942c58826f174a9d0875cb69e9b3e3d378c4791c7c048493bd1a"},"schema_version":"1.0"},"canonical_sha256":"6353c15965ace913a3d7385467ae4ef0affb905a6e64dbdee29d3c08bdc49204","source":{"kind":"arxiv","id":"2506.20478","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.20478","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"2506.20478v2","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.20478","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"MNJ4CWLFVTUR","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_16","alias_value":"MNJ4CWLFVTURHI6X","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_8","alias_value":"MNJ4CWLF","created_at":"2026-05-27T01:05:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MNJ4CWLFVTURHI6XHBKGPLSO6C","target":"record","payload":{"canonical_record":{"source":{"id":"2506.20478","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-25T14:23:38Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"89618aa5432fa2dc8a3ba24c6813eba57ffe4abff9d421732a97baa71c177c5d","abstract_canon_sha256":"450627c367f8942c58826f174a9d0875cb69e9b3e3d378c4791c7c048493bd1a"},"schema_version":"1.0"},"canonical_sha256":"6353c15965ace913a3d7385467ae4ef0affb905a6e64dbdee29d3c08bdc49204","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:35.363207Z","signature_b64":"Aax083pfjdgXe4zpOtjuBrvViJNi9Cbgob3//vpmVsDlLlF+GDUR/8BtUbg6A8vdvmAYfBQvLh2HjTu8n38mCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6353c15965ace913a3d7385467ae4ef0affb905a6e64dbdee29d3c08bdc49204","last_reissued_at":"2026-05-27T01:05:35.362470Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:35.362470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.20478","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-27T01:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yV5q0kHhul+p7FOeWtv6deBj+BKF9CVfsotwl99bdPnBYFL6bnwR6XRx0+u0bhbOWCwuITj3wC8EVZAYoJoJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:24:18.848108Z"},"content_sha256":"56990551f41c3d783f7f98802f9cf6a5592d4d0df7062fb5e28404d18a357653","schema_version":"1.0","event_id":"sha256:56990551f41c3d783f7f98802f9cf6a5592d4d0df7062fb5e28404d18a357653"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MNJ4CWLFVTURHI6XHBKGPLSO6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Nana Liu, Nikita Guseynov, Xiajie Huang","submitted_at":"2025-06-25T14:23:38Z","abstract_excerpt":"We propose an explicit, oracle-free quantum framework for numerically simulating general linear partial differential equations (PDEs), extending previous work to incorporate (a) Robin boundary conditions - which include Neumann and Dirichlet conditions as special cases - (b) inhomogeneous terms, and (c) variable coefficients in space and time. Our approach begins with a general finite-difference discretization and applies the Schrodingerisation technique to transform the resulting system into one that admits unitary quantum evolution, enabling quantum simulation.\n  For the Schrodinger equation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.20478","kind":"arxiv","version":2},"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/2506.20478/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":"2026-05-27T01:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LRrbPFv8oZhtdBk/hTzSyTDWALfuW2jShRq4MEg4pXxp2aEIxJoUE57iDP4aKi3EE6FzOI6cRqU8Jw6qzfEnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:24:18.848898Z"},"content_sha256":"c071c6936c7a23c46ba4626ae76b4f4819b5c33fa181e65a65126c126e82b768","schema_version":"1.0","event_id":"sha256:c071c6936c7a23c46ba4626ae76b4f4819b5c33fa181e65a65126c126e82b768"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/bundle.json","state_url":"https://pith.science/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/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":"2026-05-30T07:24:18Z","links":{"resolver":"https://pith.science/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C","bundle":"https://pith.science/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/bundle.json","state":"https://pith.science/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MNJ4CWLFVTURHI6XHBKGPLSO6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MNJ4CWLFVTURHI6XHBKGPLSO6C","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":"450627c367f8942c58826f174a9d0875cb69e9b3e3d378c4791c7c048493bd1a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-25T14:23:38Z","title_canon_sha256":"89618aa5432fa2dc8a3ba24c6813eba57ffe4abff9d421732a97baa71c177c5d"},"schema_version":"1.0","source":{"id":"2506.20478","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.20478","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"2506.20478v2","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.20478","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"MNJ4CWLFVTUR","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_16","alias_value":"MNJ4CWLFVTURHI6X","created_at":"2026-05-27T01:05:35Z"},{"alias_kind":"pith_short_8","alias_value":"MNJ4CWLF","created_at":"2026-05-27T01:05:35Z"}],"graph_snapshots":[{"event_id":"sha256:c071c6936c7a23c46ba4626ae76b4f4819b5c33fa181e65a65126c126e82b768","target":"graph","created_at":"2026-05-27T01:05:35Z","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/2506.20478/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose an explicit, oracle-free quantum framework for numerically simulating general linear partial differential equations (PDEs), extending previous work to incorporate (a) Robin boundary conditions - which include Neumann and Dirichlet conditions as special cases - (b) inhomogeneous terms, and (c) variable coefficients in space and time. Our approach begins with a general finite-difference discretization and applies the Schrodingerisation technique to transform the resulting system into one that admits unitary quantum evolution, enabling quantum simulation.\n  For the Schrodinger equation","authors_text":"Nana Liu, Nikita Guseynov, Xiajie Huang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.20478","kind":"arxiv","version":2},"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":"sha256:56990551f41c3d783f7f98802f9cf6a5592d4d0df7062fb5e28404d18a357653","target":"record","created_at":"2026-05-27T01:05:35Z","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":"450627c367f8942c58826f174a9d0875cb69e9b3e3d378c4791c7c048493bd1a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-25T14:23:38Z","title_canon_sha256":"89618aa5432fa2dc8a3ba24c6813eba57ffe4abff9d421732a97baa71c177c5d"},"schema_version":"1.0","source":{"id":"2506.20478","kind":"arxiv","version":2}},"canonical_sha256":"6353c15965ace913a3d7385467ae4ef0affb905a6e64dbdee29d3c08bdc49204","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6353c15965ace913a3d7385467ae4ef0affb905a6e64dbdee29d3c08bdc49204","first_computed_at":"2026-05-27T01:05:35.362470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:05:35.362470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Aax083pfjdgXe4zpOtjuBrvViJNi9Cbgob3//vpmVsDlLlF+GDUR/8BtUbg6A8vdvmAYfBQvLh2HjTu8n38mCg==","signature_status":"signed_v1","signed_at":"2026-05-27T01:05:35.363207Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.20478","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56990551f41c3d783f7f98802f9cf6a5592d4d0df7062fb5e28404d18a357653","sha256:c071c6936c7a23c46ba4626ae76b4f4819b5c33fa181e65a65126c126e82b768"],"state_sha256":"eb3a6ce6187de41ce2e4c4adb9c282285ef755558815e9ffdb51a7679448f74c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/mz9EOiUDTNfO/mCQ+VL04PMBIn+b829eKTbN2vRJxj2i606g/X3g7Q3m0WrmwPh61oP3ac6cPS2HiUhKOF8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:24:18.852939Z","bundle_sha256":"50509c373936be72dc0f3c4dd7f0bcd43fcd3d87fa9017ce375caa3df89b5a63"}}