{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HNMMLSMZ7TYONHYYX6JX3VI5JL","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":"3b992ee84330b348a703aa4fdf5ec209e060c075de40e2f7601085e68c712684","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-21T16:37:34Z","title_canon_sha256":"e09c23018ec9df310c056f1d6cc20870c029cd5492cdc91a8bac7c9603bbe434"},"schema_version":"1.0","source":{"id":"2607.19265","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19265","created_at":"2026-07-22T01:24:17Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19265v1","created_at":"2026-07-22T01:24:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19265","created_at":"2026-07-22T01:24:17Z"},{"alias_kind":"pith_short_12","alias_value":"HNMMLSMZ7TYO","created_at":"2026-07-22T01:24:17Z"},{"alias_kind":"pith_short_16","alias_value":"HNMMLSMZ7TYONHYY","created_at":"2026-07-22T01:24:17Z"},{"alias_kind":"pith_short_8","alias_value":"HNMMLSMZ","created_at":"2026-07-22T01:24:17Z"}],"graph_snapshots":[{"event_id":"sha256:905c3e767fa3e9f83785cb458d52e82cce947feffcdbda5c4150d20fd5652a3a","target":"graph","created_at":"2026-07-22T01:24:17Z","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/2607.19265/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a class of topological surface bands in three-dimensional topological crystalline insulators that have symmetry-protected cubic-order band touching. Within the symmetry constraint, the band dispersion can continuously vary between cubic dispersion, moat band and multi-mini-valley structure with van Hove singularities by adjusting particle-hole asymmetry and anisotropy. Thus, there is a family of tunable density-of-state singularities ranging from power-law to logarithmic divergences. This offrs a versatile platform for engineering strongly correlated phases of matter in topological ","authors_text":"Ivar Martin, Jingtian Shi, Taylor L. Hughes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-21T16:37:34Z","title":"Symmetry-protected cubic-touching topological surface bands with tunable singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19265","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:c4cd61a310447b681bf16b67475a8494ee1ecb06379595e3aedfbe56b8999db2","target":"record","created_at":"2026-07-22T01:24:17Z","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":"3b992ee84330b348a703aa4fdf5ec209e060c075de40e2f7601085e68c712684","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-21T16:37:34Z","title_canon_sha256":"e09c23018ec9df310c056f1d6cc20870c029cd5492cdc91a8bac7c9603bbe434"},"schema_version":"1.0","source":{"id":"2607.19265","kind":"arxiv","version":1}},"canonical_sha256":"3b58c5c999fcf0e69f18bf937dd51d4af9109a099d60a6da8cc4bad6c7c9d886","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b58c5c999fcf0e69f18bf937dd51d4af9109a099d60a6da8cc4bad6c7c9d886","first_computed_at":"2026-07-22T01:24:17.248829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T01:24:17.248829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SGU3ijmKDgB55Or8AQj+r2xQ/uB9A7RTDq+Aw1yRdBox1jhXke2wwvQUdKOGNbIsGYGBt1UxGDIcv+l7OPJhCQ==","signature_status":"signed_v1","signed_at":"2026-07-22T01:24:17.249679Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19265","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4cd61a310447b681bf16b67475a8494ee1ecb06379595e3aedfbe56b8999db2","sha256:905c3e767fa3e9f83785cb458d52e82cce947feffcdbda5c4150d20fd5652a3a"],"state_sha256":"7ad02aac5156cf1d94288db8002c2f78f12074ead4abb8547c6c0c936b555d7f"}