{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VYPJCCQV2NGWTU3ZBNW7VT6BO6","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":"aca76c26719416c01bfc5ad439d3cf42b56b2c8d2708fd4e522d02bee91426cd","cross_cats_sorted":["cs.NA","math-ph","math.AP","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-01T10:39:56Z","title_canon_sha256":"89d9e5e564f83cc37cb9e92e4c14c695dff8ae0d12d0be7c68fa13e1d58f5a9e"},"schema_version":"1.0","source":{"id":"2606.02051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02051","created_at":"2026-06-02T02:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02051v1","created_at":"2026-06-02T02:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02051","created_at":"2026-06-02T02:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"VYPJCCQV2NGW","created_at":"2026-06-02T02:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"VYPJCCQV2NGWTU3Z","created_at":"2026-06-02T02:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"VYPJCCQV","created_at":"2026-06-02T02:05:04Z"}],"graph_snapshots":[{"event_id":"sha256:2d47276c2253888ef04d933b2af1f5ce74289610248914379fb0089ec8e34e6a","target":"graph","created_at":"2026-06-02T02:05:04Z","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/2606.02051/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a fully 3-dimensional Summation-By-Parts scheme for a class of linear wave equations on hyperboloidal slices that meet future null infinity on a Minkowski background. The scheme is derived in spherical polar coordinates, with a major strength being that it is provably stable and allows having grid points at the origin and on the $z$-axis, despite coordinate singularities, and at infinity, by introducing compactification followed by rescaling. Reducing it to the standard Cauchy problem, or on finite spacelike slices with an outer boundary, will follow a similar procedure. Interesting ","authors_text":"Anuraag Reddy, Prayush Kumar, Shalabh Gautam","cross_cats":["cs.NA","math-ph","math.AP","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-01T10:39:56Z","title":"3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02051","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":"sha256:637f4e3f50f8a9024ef74e9116a62aabd5546e933b944a3eb27fd7307e02e512","target":"record","created_at":"2026-06-02T02:05:04Z","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":"aca76c26719416c01bfc5ad439d3cf42b56b2c8d2708fd4e522d02bee91426cd","cross_cats_sorted":["cs.NA","math-ph","math.AP","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-01T10:39:56Z","title_canon_sha256":"89d9e5e564f83cc37cb9e92e4c14c695dff8ae0d12d0be7c68fa13e1d58f5a9e"},"schema_version":"1.0","source":{"id":"2606.02051","kind":"arxiv","version":1}},"canonical_sha256":"ae1e910a15d34d69d3790b6dfacfc17798f35d0459d5c34e663696b7da6ec753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae1e910a15d34d69d3790b6dfacfc17798f35d0459d5c34e663696b7da6ec753","first_computed_at":"2026-06-02T02:05:04.582660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:05:04.582660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EmiRxjCCsxYU+dyoYoNTYnJA5VMSeP+WHomPRUPDHgXK/tWb2mdA0D/NdJbLgRbBB1JH6vphM7hlNa3Er6QIAg==","signature_status":"signed_v1","signed_at":"2026-06-02T02:05:04.583059Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.02051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:637f4e3f50f8a9024ef74e9116a62aabd5546e933b944a3eb27fd7307e02e512","sha256:2d47276c2253888ef04d933b2af1f5ce74289610248914379fb0089ec8e34e6a"],"state_sha256":"c6869736923309f96ecb7e41bf96ead220296dac2c31e98af9d13a2305f8442a"}