{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:XDJT3R6DAPNE522PNHCYZWZUFM","short_pith_number":"pith:XDJT3R6D","schema_version":"1.0","canonical_sha256":"b8d33dc7c303da4eeb4f69c58cdb342b03f902d92740244d0217ef1e56b57827","source":{"kind":"arxiv","id":"2607.23985","version":1},"attestation_state":"computed","paper":{"title":"Symmetry Criterion for Van Hove Criticality at Non-Time-Reversal-Invariant Momenta","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Hua-Yu Li, Min-Quan Kuang","submitted_at":"2026-07-27T04:27:24Z","abstract_excerpt":"At non-time-reversal-invariant momenta (non-TRIMs), time-reversal symmetry does not constrain the linear term of the band dispersion. Whether $\\nabla E$ vanishes is therefore determined entirely by the representation theory of the little group. For nondegenerate bands, $\\nabla E$ is forced to zero if and only if the vector representation $\\Gamma_{\\mathrm{vec}}$ of the little group does not contain the trivial representation $\\Gamma_1$. When $\\Gamma_{\\mathrm{vec}}$ does contain $\\Gamma_1$, $\\nabla E$ is not forced to vanish for any nondegenerate band; the classification instead depends on the m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.23985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-27T04:27:24Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.supr-con"],"title_canon_sha256":"a856749435cb778aef13ebb829237584e2f34ac600c1e9925f7dd5fc3aab464b","abstract_canon_sha256":"58d80704f93c97d3cb863f4c5bd3ae634f79f12f1eb172a484a992903a3cfaf0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:23:39.932586Z","signature_b64":"8BKipPGu9dYaWGSN/kzcdrbZ3itu9hSaZs/rrrNuEMPNVgPqWLjjWfJ7K8t0y7jJ7yneOM2ExcwHUSXa5R2lDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8d33dc7c303da4eeb4f69c58cdb342b03f902d92740244d0217ef1e56b57827","last_reissued_at":"2026-07-28T01:23:39.931816Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:23:39.931816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry Criterion for Van Hove Criticality at Non-Time-Reversal-Invariant Momenta","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Hua-Yu Li, Min-Quan Kuang","submitted_at":"2026-07-27T04:27:24Z","abstract_excerpt":"At non-time-reversal-invariant momenta (non-TRIMs), time-reversal symmetry does not constrain the linear term of the band dispersion. Whether $\\nabla E$ vanishes is therefore determined entirely by the representation theory of the little group. For nondegenerate bands, $\\nabla E$ is forced to zero if and only if the vector representation $\\Gamma_{\\mathrm{vec}}$ of the little group does not contain the trivial representation $\\Gamma_1$. When $\\Gamma_{\\mathrm{vec}}$ does contain $\\Gamma_1$, $\\nabla E$ is not forced to vanish for any nondegenerate band; the classification instead depends on the m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23985","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/2607.23985/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.23985","created_at":"2026-07-28T01:23:39.932197+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.23985v1","created_at":"2026-07-28T01:23:39.932197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23985","created_at":"2026-07-28T01:23:39.932197+00:00"},{"alias_kind":"pith_short_12","alias_value":"XDJT3R6DAPNE","created_at":"2026-07-28T01:23:39.932197+00:00"},{"alias_kind":"pith_short_16","alias_value":"XDJT3R6DAPNE522P","created_at":"2026-07-28T01:23:39.932197+00:00"},{"alias_kind":"pith_short_8","alias_value":"XDJT3R6D","created_at":"2026-07-28T01:23:39.932197+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM","json":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM.json","graph_json":"https://pith.science/api/pith-number/XDJT3R6DAPNE522PNHCYZWZUFM/graph.json","events_json":"https://pith.science/api/pith-number/XDJT3R6DAPNE522PNHCYZWZUFM/events.json","paper":"https://pith.science/paper/XDJT3R6D"},"agent_actions":{"view_html":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM","download_json":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM.json","view_paper":"https://pith.science/paper/XDJT3R6D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.23985&json=true","fetch_graph":"https://pith.science/api/pith-number/XDJT3R6DAPNE522PNHCYZWZUFM/graph.json","fetch_events":"https://pith.science/api/pith-number/XDJT3R6DAPNE522PNHCYZWZUFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM/action/storage_attestation","attest_author":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM/action/author_attestation","sign_citation":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM/action/citation_signature","submit_replication":"https://pith.science/pith/XDJT3R6DAPNE522PNHCYZWZUFM/action/replication_record"}},"created_at":"2026-07-28T01:23:39.932197+00:00","updated_at":"2026-07-28T01:23:39.932197+00:00"}