{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6DGAZMHI32YYW3AQ3MKJLXPCZC","short_pith_number":"pith:6DGAZMHI","canonical_record":{"source":{"id":"1806.01846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-05T14:10:27Z","cross_cats_sorted":[],"title_canon_sha256":"7cdd7f3de6bfead33ae753e1603e7958db8e38fe296f238e7fca8af5a9698b67","abstract_canon_sha256":"d7c49ce4e293509d0dd361fe9c83028395b9b01e5cdafc575dd524a794de5b30"},"schema_version":"1.0"},"canonical_sha256":"f0cc0cb0e8deb18b6c10db1495dde2c8a89f7633cdebeee9035757a7df597eca","source":{"kind":"arxiv","id":"1806.01846","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01846","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01846v1","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01846","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"pith_short_12","alias_value":"6DGAZMHI32YY","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6DGAZMHI32YYW3AQ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6DGAZMHI","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6DGAZMHI32YYW3AQ3MKJLXPCZC","target":"record","payload":{"canonical_record":{"source":{"id":"1806.01846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-05T14:10:27Z","cross_cats_sorted":[],"title_canon_sha256":"7cdd7f3de6bfead33ae753e1603e7958db8e38fe296f238e7fca8af5a9698b67","abstract_canon_sha256":"d7c49ce4e293509d0dd361fe9c83028395b9b01e5cdafc575dd524a794de5b30"},"schema_version":"1.0"},"canonical_sha256":"f0cc0cb0e8deb18b6c10db1495dde2c8a89f7633cdebeee9035757a7df597eca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:03.570179Z","signature_b64":"lrsM+Y9M2EY906+iQEsek9HRWuhRpb/JifbT/FfcCoGeCP7fDfxbKdNPuDnCryJNtnNh87IXX6W0wSlxBikoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0cc0cb0e8deb18b6c10db1495dde2c8a89f7633cdebeee9035757a7df597eca","last_reissued_at":"2026-05-18T00:14:03.569445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:03.569445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.01846","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":"2026-05-18T00:14:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FVzf+D9QnZ8qkiswSZL4eh95t0qh1X49+6Z/i3msy3U+xOqZA85zoinu8Z1d1+PFvVZgNnppmZKQtBF1DdgdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:41:14.220629Z"},"content_sha256":"4eb1530ee5b6d86389192a6e7f2aa53d64ef6f0ade64f0a20cdb4aae035daa56","schema_version":"1.0","event_id":"sha256:4eb1530ee5b6d86389192a6e7f2aa53d64ef6f0ade64f0a20cdb4aae035daa56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6DGAZMHI32YYW3AQ3MKJLXPCZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new radial basis function collocation method based on the quasi-uniform nodes for 2D fractional wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Benfeng Wang, Guofei Pang, Jingye Li, Xiaohong Chen, Yiran Xu, Zhikai Wang","submitted_at":"2018-06-05T14:10:27Z","abstract_excerpt":"We mainly concerned with a decoupled fractional Laplacian wave equation in this paper. A new time-space domain radial basis function (RBF) collocation method is introduced to solve the fractional wave equation, which describes seismic wave propagation in attenuation media. The directional fractional Laplacian is adopted to cope with the fractional Laplacian of RBFs. In order to increase the computational efficiency, we introduced the quasi-uniform nodes configuration scheme, which is suitable for mesh-free discretization of wave equations. The comparison between the new method and the commonly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01846","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":""},"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":"2026-05-18T00:14:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4iK8VGzAxSJOtQGO6pJ0PBIeaYZURfN9ri2rA1ctMZIaRkAg4PDl+do25c1KwO9JYkTH4uG2/2xIDJD3tt7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:41:14.220979Z"},"content_sha256":"80f6d816bc9cfc826121f9601bc1f1f55e16f440aa469d6b45cef25fc83fcfc1","schema_version":"1.0","event_id":"sha256:80f6d816bc9cfc826121f9601bc1f1f55e16f440aa469d6b45cef25fc83fcfc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/bundle.json","state_url":"https://pith.science/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/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":"2026-06-04T15:41:14Z","links":{"resolver":"https://pith.science/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC","bundle":"https://pith.science/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/bundle.json","state":"https://pith.science/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DGAZMHI32YYW3AQ3MKJLXPCZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6DGAZMHI32YYW3AQ3MKJLXPCZC","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":"d7c49ce4e293509d0dd361fe9c83028395b9b01e5cdafc575dd524a794de5b30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-05T14:10:27Z","title_canon_sha256":"7cdd7f3de6bfead33ae753e1603e7958db8e38fe296f238e7fca8af5a9698b67"},"schema_version":"1.0","source":{"id":"1806.01846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01846","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01846v1","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01846","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"pith_short_12","alias_value":"6DGAZMHI32YY","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6DGAZMHI32YYW3AQ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6DGAZMHI","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:80f6d816bc9cfc826121f9601bc1f1f55e16f440aa469d6b45cef25fc83fcfc1","target":"graph","created_at":"2026-05-18T00:14:03Z","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 mainly concerned with a decoupled fractional Laplacian wave equation in this paper. A new time-space domain radial basis function (RBF) collocation method is introduced to solve the fractional wave equation, which describes seismic wave propagation in attenuation media. The directional fractional Laplacian is adopted to cope with the fractional Laplacian of RBFs. In order to increase the computational efficiency, we introduced the quasi-uniform nodes configuration scheme, which is suitable for mesh-free discretization of wave equations. The comparison between the new method and the commonly","authors_text":"Benfeng Wang, Guofei Pang, Jingye Li, Xiaohong Chen, Yiran Xu, Zhikai Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-05T14:10:27Z","title":"A new radial basis function collocation method based on the quasi-uniform nodes for 2D fractional wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01846","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":"sha256:4eb1530ee5b6d86389192a6e7f2aa53d64ef6f0ade64f0a20cdb4aae035daa56","target":"record","created_at":"2026-05-18T00:14:03Z","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":"d7c49ce4e293509d0dd361fe9c83028395b9b01e5cdafc575dd524a794de5b30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-05T14:10:27Z","title_canon_sha256":"7cdd7f3de6bfead33ae753e1603e7958db8e38fe296f238e7fca8af5a9698b67"},"schema_version":"1.0","source":{"id":"1806.01846","kind":"arxiv","version":1}},"canonical_sha256":"f0cc0cb0e8deb18b6c10db1495dde2c8a89f7633cdebeee9035757a7df597eca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0cc0cb0e8deb18b6c10db1495dde2c8a89f7633cdebeee9035757a7df597eca","first_computed_at":"2026-05-18T00:14:03.569445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:03.569445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lrsM+Y9M2EY906+iQEsek9HRWuhRpb/JifbT/FfcCoGeCP7fDfxbKdNPuDnCryJNtnNh87IXX6W0wSlxBikoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:03.570179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eb1530ee5b6d86389192a6e7f2aa53d64ef6f0ade64f0a20cdb4aae035daa56","sha256:80f6d816bc9cfc826121f9601bc1f1f55e16f440aa469d6b45cef25fc83fcfc1"],"state_sha256":"b87c7ab3bc9a11bb702a69392c0366bd82fbdffd01cae197dd84cea05db6a511"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6eYcaGU0KMwHTEPnal/ZZ+NaDHUxpAcjwNQOkeFvAbEY0VPRnlgYiydJb5Humr7XVMK5DZcElQvuz/0aN60DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:41:14.223403Z","bundle_sha256":"71dc6258911c0a6fd1d82273e62356110e0009fe2b72011ae281bb96d9d13c5a"}}