{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QPRHYW32TITHFKQ44J6CEHCGLL","short_pith_number":"pith:QPRHYW32","canonical_record":{"source":{"id":"2606.04366","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:29:04Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"279aaed75d77d3d3120d19e86a5c732b17c0dc6a88be60775aacc81759f78cdc","abstract_canon_sha256":"24fef34c07da9472d7f1fd29d4f6bbddddf3b6cebb81478d38595bdfafd52e65"},"schema_version":"1.0"},"canonical_sha256":"83e27c5b7a9a2672aa1ce27c221c465ad9cacfe11b12ab7de5e67a1c1b873b00","source":{"kind":"arxiv","id":"2606.04366","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04366","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04366v1","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04366","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"QPRHYW32TITH","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"QPRHYW32TITHFKQ4","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"QPRHYW32","created_at":"2026-06-04T01:09:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QPRHYW32TITHFKQ44J6CEHCGLL","target":"record","payload":{"canonical_record":{"source":{"id":"2606.04366","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:29:04Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"279aaed75d77d3d3120d19e86a5c732b17c0dc6a88be60775aacc81759f78cdc","abstract_canon_sha256":"24fef34c07da9472d7f1fd29d4f6bbddddf3b6cebb81478d38595bdfafd52e65"},"schema_version":"1.0"},"canonical_sha256":"83e27c5b7a9a2672aa1ce27c221c465ad9cacfe11b12ab7de5e67a1c1b873b00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:05.457554Z","signature_b64":"U7vPPvNSOurXZ1zz3bh+p8u9DClOe8Tej1Y+heoGfW5yahn9kCPAELBp7thRfo/nJi0eQQGV5Goc7ZYYSr6XDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83e27c5b7a9a2672aa1ce27c221c465ad9cacfe11b12ab7de5e67a1c1b873b00","last_reissued_at":"2026-06-04T01:09:05.456986Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:05.456986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.04366","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":"2026-06-04T01:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSR0ebogcfmVrYLaqnXJj0Ci8RjKSfYpQ8H9ZYdyilX1dAObbxNRhFJ3Su7JLBbZfkqaqLahfh5aCG/n5zRdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:08:00.688627Z"},"content_sha256":"556ab9bb12fda73262495c2e3b4936b0fefff67d76e961ad83e4464f74ad95e0","schema_version":"1.0","event_id":"sha256:556ab9bb12fda73262495c2e3b4936b0fefff67d76e961ad83e4464f74ad95e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QPRHYW32TITHFKQ44J6CEHCGLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MeshTok: Efficient Multi-Scale Tokenization for Scalable PDE Transformers","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.LG","authors_text":"Congcong Zhu, Jiamin Jiang, Jingrun Chen, Xiaoyu Peng, Yanshun Zhao","submitted_at":"2026-06-03T02:29:04Z","abstract_excerpt":"Conventional patchified Transformers operate on uniform spatial partitions, distributing computational effort evenly across the domain irrespective of local features. This inflexible tokenization scheme is inherently limited in its ability to efficiently represent and process solutions to complex PDEs. To address this, we propose MeshTok, an adaptive mesh refinement (AMR)-inspired tokenization and sequence modeling framework. This method selectively refines spatial regions exhibiting sharp gradients, transient features, or multiscale structures, generating a heterogeneous set of multiscale tok"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04366","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/2606.04366/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":"2026-06-04T01:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uy25mjCJWfe6IRtSEJXBnuBDyctSai1+2ux8DSWdfhiSAto/M4CHXuQxiNHDkTd7JiWDyxPptc6fQ5PuFDNrBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:08:00.689001Z"},"content_sha256":"00f8ebc5c2aa4d4231b81db042c0e16bc3efd1685adfab93cfb793b1224f76c8","schema_version":"1.0","event_id":"sha256:00f8ebc5c2aa4d4231b81db042c0e16bc3efd1685adfab93cfb793b1224f76c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QPRHYW32TITHFKQ44J6CEHCGLL/bundle.json","state_url":"https://pith.science/pith/QPRHYW32TITHFKQ44J6CEHCGLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QPRHYW32TITHFKQ44J6CEHCGLL/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":"2026-06-29T09:08:00Z","links":{"resolver":"https://pith.science/pith/QPRHYW32TITHFKQ44J6CEHCGLL","bundle":"https://pith.science/pith/QPRHYW32TITHFKQ44J6CEHCGLL/bundle.json","state":"https://pith.science/pith/QPRHYW32TITHFKQ44J6CEHCGLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QPRHYW32TITHFKQ44J6CEHCGLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QPRHYW32TITHFKQ44J6CEHCGLL","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":"24fef34c07da9472d7f1fd29d4f6bbddddf3b6cebb81478d38595bdfafd52e65","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:29:04Z","title_canon_sha256":"279aaed75d77d3d3120d19e86a5c732b17c0dc6a88be60775aacc81759f78cdc"},"schema_version":"1.0","source":{"id":"2606.04366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04366","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04366v1","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04366","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"QPRHYW32TITH","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"QPRHYW32TITHFKQ4","created_at":"2026-06-04T01:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"QPRHYW32","created_at":"2026-06-04T01:09:05Z"}],"graph_snapshots":[{"event_id":"sha256:00f8ebc5c2aa4d4231b81db042c0e16bc3efd1685adfab93cfb793b1224f76c8","target":"graph","created_at":"2026-06-04T01:09:05Z","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/2606.04366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conventional patchified Transformers operate on uniform spatial partitions, distributing computational effort evenly across the domain irrespective of local features. This inflexible tokenization scheme is inherently limited in its ability to efficiently represent and process solutions to complex PDEs. To address this, we propose MeshTok, an adaptive mesh refinement (AMR)-inspired tokenization and sequence modeling framework. This method selectively refines spatial regions exhibiting sharp gradients, transient features, or multiscale structures, generating a heterogeneous set of multiscale tok","authors_text":"Congcong Zhu, Jiamin Jiang, Jingrun Chen, Xiaoyu Peng, Yanshun Zhao","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:29:04Z","title":"MeshTok: Efficient Multi-Scale Tokenization for Scalable PDE Transformers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04366","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":"sha256:556ab9bb12fda73262495c2e3b4936b0fefff67d76e961ad83e4464f74ad95e0","target":"record","created_at":"2026-06-04T01:09:05Z","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":"24fef34c07da9472d7f1fd29d4f6bbddddf3b6cebb81478d38595bdfafd52e65","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-03T02:29:04Z","title_canon_sha256":"279aaed75d77d3d3120d19e86a5c732b17c0dc6a88be60775aacc81759f78cdc"},"schema_version":"1.0","source":{"id":"2606.04366","kind":"arxiv","version":1}},"canonical_sha256":"83e27c5b7a9a2672aa1ce27c221c465ad9cacfe11b12ab7de5e67a1c1b873b00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83e27c5b7a9a2672aa1ce27c221c465ad9cacfe11b12ab7de5e67a1c1b873b00","first_computed_at":"2026-06-04T01:09:05.456986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:05.456986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U7vPPvNSOurXZ1zz3bh+p8u9DClOe8Tej1Y+heoGfW5yahn9kCPAELBp7thRfo/nJi0eQQGV5Goc7ZYYSr6XDQ==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:05.457554Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:556ab9bb12fda73262495c2e3b4936b0fefff67d76e961ad83e4464f74ad95e0","sha256:00f8ebc5c2aa4d4231b81db042c0e16bc3efd1685adfab93cfb793b1224f76c8"],"state_sha256":"bb651a184a3f13083bd9080c9e14091026e9d056c3b79bbc8e7526f896c8f1da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EHO6rza6KWzCsm8zy+9SOZRSbNLSZCd8VB7GQQao/BRZr9ff3/l8krr+DR34mhBJfTJY60IZOSfMdObdAAoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:08:00.690982Z","bundle_sha256":"18c2992ce546ce514746146511361217d2611b5b3caf1e61a72062b26e3d9c66"}}