{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SVT5XEEIVQ3J4HTCA63FGGZDSH","short_pith_number":"pith:SVT5XEEI","canonical_record":{"source":{"id":"2606.19251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T16:27:28Z","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"title_canon_sha256":"330a42fb220449687eed69572e9bd89b1459034f121a354df4ad47c678725c42","abstract_canon_sha256":"836242040728e642da281f58ed76a0d3654619bb59526e84e20bfbafc57f02b6"},"schema_version":"1.0"},"canonical_sha256":"9567db9088ac369e1e6207b6531b2391dd68cccb9da3226a4dcf6d3977edc8e1","source":{"kind":"arxiv","id":"2606.19251","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19251","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19251v1","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19251","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"SVT5XEEIVQ3J","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"SVT5XEEIVQ3J4HTC","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"SVT5XEEI","created_at":"2026-06-19T16:12:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SVT5XEEIVQ3J4HTCA63FGGZDSH","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T16:27:28Z","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"title_canon_sha256":"330a42fb220449687eed69572e9bd89b1459034f121a354df4ad47c678725c42","abstract_canon_sha256":"836242040728e642da281f58ed76a0d3654619bb59526e84e20bfbafc57f02b6"},"schema_version":"1.0"},"canonical_sha256":"9567db9088ac369e1e6207b6531b2391dd68cccb9da3226a4dcf6d3977edc8e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:08.818725Z","signature_b64":"LiRqsmVnffXkVSCsvdhJbZcHeEjh6/Fj07ZzzaTdPvgxNmhdGDHAcN+bdAuTpFYc5yzphcgFtwct28TYxzW0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9567db9088ac369e1e6207b6531b2391dd68cccb9da3226a4dcf6d3977edc8e1","last_reissued_at":"2026-06-19T16:12:08.818394Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:08.818394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19251","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":"2026-06-19T16:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"58DsAf7YpnLYon0zkqnBdd2eystrys7u6xRx7Fe5HlROHjfx0C0m++KRY/1qZDtuLaVwcm+18cxY6TteajfXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:43:38.384753Z"},"content_sha256":"3b8aca0f1e4d0bfa5df46922beb157a5a646a75cf3354b6f348e03f0ce3513b2","schema_version":"1.0","event_id":"sha256:3b8aca0f1e4d0bfa5df46922beb157a5a646a75cf3354b6f348e03f0ce3513b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SVT5XEEIVQ3J4HTCA63FGGZDSH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Acceleration of an algebraic multigrid pressure solver using graph neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Artur K. Lidtke, Bernat Font, Eric Chill\\'on, Nguyen Anh Khoa Doan","submitted_at":"2026-06-17T16:27:28Z","abstract_excerpt":"Solving the pressure-Poisson equation remains the primary computational bottleneck in incompressible unstructured flow solvers primarily due to the inherent sensitivity of traditional linear solvers to mesh irregularities. This work introduces a data-driven algebraic multigrid (AMG) smoother that uses a modified graph convolutional isomorphism network (GCIN). The graph neural network predicts optimal polynomial coefficients to construct a sparse pseudo-inverse operator across diverse grid topologies. The coefficients are optimized to reduce the residual after each V-cycle iteration. By directl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19251","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/2606.19251/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":"2026-06-19T16:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aeadVrIM4KlIyslm/KeznFuIB+cmEo74/sdUbfVx20EGWIegTTZMOd6VFtigRzwTgGrpmQAAWuwHA5rJnJxcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:43:38.385127Z"},"content_sha256":"f18bf47488926a3fdf10f25d2fecf618be28e4f240a17ca04f29284ff2dba97b","schema_version":"1.0","event_id":"sha256:f18bf47488926a3fdf10f25d2fecf618be28e4f240a17ca04f29284ff2dba97b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/bundle.json","state_url":"https://pith.science/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/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":"2026-06-22T05:43:38Z","links":{"resolver":"https://pith.science/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH","bundle":"https://pith.science/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/bundle.json","state":"https://pith.science/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SVT5XEEIVQ3J4HTCA63FGGZDSH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SVT5XEEIVQ3J4HTCA63FGGZDSH","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":"836242040728e642da281f58ed76a0d3654619bb59526e84e20bfbafc57f02b6","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T16:27:28Z","title_canon_sha256":"330a42fb220449687eed69572e9bd89b1459034f121a354df4ad47c678725c42"},"schema_version":"1.0","source":{"id":"2606.19251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19251","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19251v1","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19251","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"SVT5XEEIVQ3J","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"SVT5XEEIVQ3J4HTC","created_at":"2026-06-19T16:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"SVT5XEEI","created_at":"2026-06-19T16:12:08Z"}],"graph_snapshots":[{"event_id":"sha256:f18bf47488926a3fdf10f25d2fecf618be28e4f240a17ca04f29284ff2dba97b","target":"graph","created_at":"2026-06-19T16:12:08Z","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/2606.19251/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Solving the pressure-Poisson equation remains the primary computational bottleneck in incompressible unstructured flow solvers primarily due to the inherent sensitivity of traditional linear solvers to mesh irregularities. This work introduces a data-driven algebraic multigrid (AMG) smoother that uses a modified graph convolutional isomorphism network (GCIN). The graph neural network predicts optimal polynomial coefficients to construct a sparse pseudo-inverse operator across diverse grid topologies. The coefficients are optimized to reduce the residual after each V-cycle iteration. By directl","authors_text":"Artur K. Lidtke, Bernat Font, Eric Chill\\'on, Nguyen Anh Khoa Doan","cross_cats":["cs.LG","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T16:27:28Z","title":"Acceleration of an algebraic multigrid pressure solver using graph neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19251","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":"sha256:3b8aca0f1e4d0bfa5df46922beb157a5a646a75cf3354b6f348e03f0ce3513b2","target":"record","created_at":"2026-06-19T16:12:08Z","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":"836242040728e642da281f58ed76a0d3654619bb59526e84e20bfbafc57f02b6","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T16:27:28Z","title_canon_sha256":"330a42fb220449687eed69572e9bd89b1459034f121a354df4ad47c678725c42"},"schema_version":"1.0","source":{"id":"2606.19251","kind":"arxiv","version":1}},"canonical_sha256":"9567db9088ac369e1e6207b6531b2391dd68cccb9da3226a4dcf6d3977edc8e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9567db9088ac369e1e6207b6531b2391dd68cccb9da3226a4dcf6d3977edc8e1","first_computed_at":"2026-06-19T16:12:08.818394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:08.818394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiRqsmVnffXkVSCsvdhJbZcHeEjh6/Fj07ZzzaTdPvgxNmhdGDHAcN+bdAuTpFYc5yzphcgFtwct28TYxzW0Bg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:08.818725Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b8aca0f1e4d0bfa5df46922beb157a5a646a75cf3354b6f348e03f0ce3513b2","sha256:f18bf47488926a3fdf10f25d2fecf618be28e4f240a17ca04f29284ff2dba97b"],"state_sha256":"fe2cd591305d3010548de8425495b5933e152fab1529b931d2cb2f6ec5ab5458"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWpop1CN3lKY3WmaFcoqFXQqprTIdVFi3gUFFpDxEe5QbJGLMZLt6+UM2VM8PPcQI3GxN2+LptWJvr7Xtcd2CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T05:43:38.387351Z","bundle_sha256":"29fe3d2992baafc4ced3c46ab5898a3db18eee64b9efa26f5e83f45ac33087b8"}}