{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5XDYHA5Q6ZEWIT53DGOSCIRJZQ","short_pith_number":"pith:5XDYHA5Q","canonical_record":{"source":{"id":"2608.12142","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2026-08-12T14:59:57Z","cross_cats_sorted":[],"title_canon_sha256":"6b64807355aae2a34284f8cb6f85db6f606d3395bca952d1d55812a82c226cc2","abstract_canon_sha256":"259b04559d8ed6940326b979f1e474bea5b9755fc67a879fd98f4f9354086c2a"},"schema_version":"1.0"},"canonical_sha256":"edc78383b0f649644fbb199d212229cc2e22c4ae16b0f76848646f06869f90f7","source":{"kind":"arxiv","id":"2608.12142","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12142","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12142v1","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12142","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"5XDYHA5Q6ZEW","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"5XDYHA5Q6ZEWIT53","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"5XDYHA5Q","created_at":"2026-08-13T01:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5XDYHA5Q6ZEWIT53DGOSCIRJZQ","target":"record","payload":{"canonical_record":{"source":{"id":"2608.12142","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2026-08-12T14:59:57Z","cross_cats_sorted":[],"title_canon_sha256":"6b64807355aae2a34284f8cb6f85db6f606d3395bca952d1d55812a82c226cc2","abstract_canon_sha256":"259b04559d8ed6940326b979f1e474bea5b9755fc67a879fd98f4f9354086c2a"},"schema_version":"1.0"},"canonical_sha256":"edc78383b0f649644fbb199d212229cc2e22c4ae16b0f76848646f06869f90f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-13T01:30:12.935002Z","signature_b64":"8u+AeOzt0a4nhmDXKwWUy7joWwWRafiO28MOD93TJjUuIwx6Q/oZK9XvNEMRaU6atdc7HobRGnmkVyhLhkA5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edc78383b0f649644fbb199d212229cc2e22c4ae16b0f76848646f06869f90f7","last_reissued_at":"2026-08-13T01:30:12.932807Z","signature_status":"signed_v1","first_computed_at":"2026-08-13T01:30:12.932807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.12142","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":"2026-08-13T01:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RZrusgnMcN46o/6J9Wo6W3+mUVsC70Q/5TRoBX8THdSUr/UoWDaQ7eCOzZxLjIS+jayfi4nbwHLZmX1mALYtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:39:09.072541Z"},"content_sha256":"7424166770cf5feac8495703522339ce35292c7109536436b12ec0304e0d45b4","schema_version":"1.0","event_id":"sha256:7424166770cf5feac8495703522339ce35292c7109536436b12ec0304e0d45b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5XDYHA5Q6ZEWIT53DGOSCIRJZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Bei Wang, Hanqi Guo, Jixian Li, Joshua A. Levine, Tanner Finken","submitted_at":"2026-08-12T14:59:57Z","abstract_excerpt":"Topological analysis of scalar fields yields structures such as the Morse-Smale complex (MSC) that summarize salient features across multiple scales. Existing MSC extraction algorithms typically assume an explicit representation of the input field, such as a discretely sampled mesh. However, recent advances in visualization have popularized implicit field representations, for which these assumptions no longer hold. In this work, we address the problem of extracting an MSC from an implicitly defined 2D scalar field. We present a method for constructing a triangulated piecewise-linear (PL) mesh "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12142","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/2608.12142/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":"2026-08-13T01:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HC1SzumhGROuSwMta4Y4CJ5O+pCr9rQcu6mvDa5/KbCQFTqpSOS7PzF/rUnfGkycwa6QBn7wNdaOBpdnZSdQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:39:09.073095Z"},"content_sha256":"deb0e35af59404b488ad1fe5c1b9fe0dd49abb55048d624c8623bc62ba163e0a","schema_version":"1.0","event_id":"sha256:deb0e35af59404b488ad1fe5c1b9fe0dd49abb55048d624c8623bc62ba163e0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/bundle.json","state_url":"https://pith.science/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/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":"2026-08-18T05:39:09Z","links":{"resolver":"https://pith.science/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ","bundle":"https://pith.science/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/bundle.json","state":"https://pith.science/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5XDYHA5Q6ZEWIT53DGOSCIRJZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5XDYHA5Q6ZEWIT53DGOSCIRJZQ","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":"259b04559d8ed6940326b979f1e474bea5b9755fc67a879fd98f4f9354086c2a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2026-08-12T14:59:57Z","title_canon_sha256":"6b64807355aae2a34284f8cb6f85db6f606d3395bca952d1d55812a82c226cc2"},"schema_version":"1.0","source":{"id":"2608.12142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12142","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12142v1","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12142","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"5XDYHA5Q6ZEW","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"5XDYHA5Q6ZEWIT53","created_at":"2026-08-13T01:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"5XDYHA5Q","created_at":"2026-08-13T01:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:deb0e35af59404b488ad1fe5c1b9fe0dd49abb55048d624c8623bc62ba163e0a","target":"graph","created_at":"2026-08-13T01:30:12Z","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/2608.12142/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological analysis of scalar fields yields structures such as the Morse-Smale complex (MSC) that summarize salient features across multiple scales. Existing MSC extraction algorithms typically assume an explicit representation of the input field, such as a discretely sampled mesh. However, recent advances in visualization have popularized implicit field representations, for which these assumptions no longer hold. In this work, we address the problem of extracting an MSC from an implicitly defined 2D scalar field. We present a method for constructing a triangulated piecewise-linear (PL) mesh ","authors_text":"Bei Wang, Hanqi Guo, Jixian Li, Joshua A. Levine, Tanner Finken","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2026-08-12T14:59:57Z","title":"Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12142","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":"sha256:7424166770cf5feac8495703522339ce35292c7109536436b12ec0304e0d45b4","target":"record","created_at":"2026-08-13T01:30:12Z","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":"259b04559d8ed6940326b979f1e474bea5b9755fc67a879fd98f4f9354086c2a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2026-08-12T14:59:57Z","title_canon_sha256":"6b64807355aae2a34284f8cb6f85db6f606d3395bca952d1d55812a82c226cc2"},"schema_version":"1.0","source":{"id":"2608.12142","kind":"arxiv","version":1}},"canonical_sha256":"edc78383b0f649644fbb199d212229cc2e22c4ae16b0f76848646f06869f90f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edc78383b0f649644fbb199d212229cc2e22c4ae16b0f76848646f06869f90f7","first_computed_at":"2026-08-13T01:30:12.932807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-13T01:30:12.932807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8u+AeOzt0a4nhmDXKwWUy7joWwWRafiO28MOD93TJjUuIwx6Q/oZK9XvNEMRaU6atdc7HobRGnmkVyhLhkA5BA==","signature_status":"signed_v1","signed_at":"2026-08-13T01:30:12.935002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7424166770cf5feac8495703522339ce35292c7109536436b12ec0304e0d45b4","sha256:deb0e35af59404b488ad1fe5c1b9fe0dd49abb55048d624c8623bc62ba163e0a"],"state_sha256":"06d15bfc7c2cd1ca4a6736b22fd708847156f5b95de425bfc69a0232a9f21405"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7hfyUmKlhFj5anChKbdYOsm3wAV6MVGqiYZS9kGlZcsqd+pf3ih7n3kzwlGqz+6qxWV6ZVkXLoQ6rWgRmDPnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T05:39:09.076652Z","bundle_sha256":"4ac60164cbd261987324feae8623594a42265f4af9b0085352f19f40fc4cd387"}}