{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YQA6M5PPDH3SDWWF3CYZBJQQMY","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":"30d3f071e8ad7f88dd8006a472d0faa45bf5fff449a811dd9b2c5f3f0782a34c","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-04T17:51:02Z","title_canon_sha256":"959c39f5cb5b04e75025f3c573e0478f1ea392687ef36fb797b6c1601b1c3f1e"},"schema_version":"1.0","source":{"id":"2508.02661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.02661","created_at":"2026-07-05T11:48:18Z"},{"alias_kind":"arxiv_version","alias_value":"2508.02661v1","created_at":"2026-07-05T11:48:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.02661","created_at":"2026-07-05T11:48:18Z"},{"alias_kind":"pith_short_12","alias_value":"YQA6M5PPDH3S","created_at":"2026-07-05T11:48:18Z"},{"alias_kind":"pith_short_16","alias_value":"YQA6M5PPDH3SDWWF","created_at":"2026-07-05T11:48:18Z"},{"alias_kind":"pith_short_8","alias_value":"YQA6M5PP","created_at":"2026-07-05T11:48:18Z"}],"graph_snapshots":[{"event_id":"sha256:930d8249e41df159ea9da762f47f6b5981db66a1f075f77d6bea46a502c5648b","target":"graph","created_at":"2026-07-05T11:48:18Z","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/2508.02661/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a novel class of topological superconducting phases protected by exact fermion-parity symmetry and average crystalline symmetries. These phases belong to the broader class of average crystalline symmetry-protected topological (ACSPT) states and include numerous examples of intrinsic ACSPTs -- topological phases that arise only in the presence of disorder or decoherence. Unlike conventional symmetry-protected topological (SPT) phases, which require exact symmetry protection, average SPT (ASPT) phases remain robust as long as the symmetry is restored on average across disorder rea","authors_text":"Jian-Hao Zhang, Sarvesh Srinivasan, Yang Qi, Zhen Bi","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-04T17:51:02Z","title":"Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.02661","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":"sha256:73cdc699726065de2e3a06bbc2330070cf142830de4db71e82a24e4e0fd59f5d","target":"record","created_at":"2026-07-05T11:48:18Z","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":"30d3f071e8ad7f88dd8006a472d0faa45bf5fff449a811dd9b2c5f3f0782a34c","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-04T17:51:02Z","title_canon_sha256":"959c39f5cb5b04e75025f3c573e0478f1ea392687ef36fb797b6c1601b1c3f1e"},"schema_version":"1.0","source":{"id":"2508.02661","kind":"arxiv","version":1}},"canonical_sha256":"c401e675ef19f721dac5d8b190a6106608c1240e630ed8b16be8d1f00e68899a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c401e675ef19f721dac5d8b190a6106608c1240e630ed8b16be8d1f00e68899a","first_computed_at":"2026-07-05T11:48:18.228623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:48:18.228623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PV77+PZ9LedxbO7dzFCIdID1TzXw7dJpAdHpdoJoqta9sbfqoQs08EhVt6bb0BkWAGEftHvgWNpI3ocGPRVVCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:48:18.229122Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.02661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73cdc699726065de2e3a06bbc2330070cf142830de4db71e82a24e4e0fd59f5d","sha256:930d8249e41df159ea9da762f47f6b5981db66a1f075f77d6bea46a502c5648b"],"state_sha256":"e053f9a3e43a4e6ad422935045fd2bd9e568f0776b52b58afcae607cef0030ec"}