{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LQ57NF3WXCDLHDIAJIQCPAIU2U","short_pith_number":"pith:LQ57NF3W","canonical_record":{"source":{"id":"2607.11105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-13T05:27:47Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"9561ba1121c66c7ed88481627c5ab5f89cfe1002de818688546f324c9f0aa26a","abstract_canon_sha256":"51c17f1f0156e0e6d5a9b92933b164703d920c3e94eb7f5bcb35ccd20dd0a1fd"},"schema_version":"1.0"},"canonical_sha256":"5c3bf69776b886b38d004a20278114d53cca0c8462be411fe2e3963faf2b6c44","source":{"kind":"arxiv","id":"2607.11105","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11105","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11105v1","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11105","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"LQ57NF3WXCDL","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_16","alias_value":"LQ57NF3WXCDLHDIA","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_8","alias_value":"LQ57NF3W","created_at":"2026-07-14T01:22:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LQ57NF3WXCDLHDIAJIQCPAIU2U","target":"record","payload":{"canonical_record":{"source":{"id":"2607.11105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-13T05:27:47Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"9561ba1121c66c7ed88481627c5ab5f89cfe1002de818688546f324c9f0aa26a","abstract_canon_sha256":"51c17f1f0156e0e6d5a9b92933b164703d920c3e94eb7f5bcb35ccd20dd0a1fd"},"schema_version":"1.0"},"canonical_sha256":"5c3bf69776b886b38d004a20278114d53cca0c8462be411fe2e3963faf2b6c44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:22:16.627499Z","signature_b64":"Hmnufb8b48SllkOABDjjY5qXhMV6LgPgF6IpgtiBkBVTPZ2ZBJ+VGp0/yRqeLgyFjTzD+DzLhEgxM+7qjEMBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c3bf69776b886b38d004a20278114d53cca0c8462be411fe2e3963faf2b6c44","last_reissued_at":"2026-07-14T01:22:16.626680Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:22:16.626680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.11105","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":"2026-07-14T01:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CauGEeN1DXKUNym6/6Kd70BI0jWP8On6z87m0qXYwfzwfi5jFYSIF3I9NePkLJ9u4i5G20Eq/UoUY13vsbcgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-29T03:26:35.671133Z"},"content_sha256":"95ed3fce6cfae45110c80610673c3dd08cacc1ebc8e9e8eb95552a563d7ca799","schema_version":"1.0","event_id":"sha256:95ed3fce6cfae45110c80610673c3dd08cacc1ebc8e9e8eb95552a563d7ca799"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LQ57NF3WXCDLHDIAJIQCPAIU2U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tiling decomposition multiplicity predicts stability of GaN(0001) surface reconstructions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Akira Kusaba, Karol Kawka, Pawel Kempisty, Tetsuji Kuboyama","submitted_at":"2026-07-13T05:27:47Z","abstract_excerpt":"The stable adatom configurations of a semiconductor surface have traditionally been sought by sampling: density functional theory (DFT) energies steer a heuristic or Bayesian search through a configuration space far too large to cover. Here we show that, for the GaN(0001)-$(6\\times6)$ surface under the electron counting (EC) rule, the search can instead be posed as a discrete tiling problem and solved exhaustively. Enumerating all rhombus tilings of the surface lattice, together with all EC-compatible adatom arrangements built on them, yields the complete catalog of 416,683 configurations at f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11105","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/2607.11105/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":"2026-07-14T01:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tG4NuSawmMdXRwbgJ/axV01EydWpUAX5Xx+L/7RzOjT++bmYQCyetAQc0XmR1Oz0tghbHvZnMyXFVtpvncgvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-29T03:26:35.671532Z"},"content_sha256":"9da42ec90537c830857ab104cf145d2733f1c8047e98974771f9d4bc775815ad","schema_version":"1.0","event_id":"sha256:9da42ec90537c830857ab104cf145d2733f1c8047e98974771f9d4bc775815ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/bundle.json","state_url":"https://pith.science/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/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":"2026-07-29T03:26:35Z","links":{"resolver":"https://pith.science/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U","bundle":"https://pith.science/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/bundle.json","state":"https://pith.science/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LQ57NF3WXCDLHDIAJIQCPAIU2U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LQ57NF3WXCDLHDIAJIQCPAIU2U","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":"51c17f1f0156e0e6d5a9b92933b164703d920c3e94eb7f5bcb35ccd20dd0a1fd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-13T05:27:47Z","title_canon_sha256":"9561ba1121c66c7ed88481627c5ab5f89cfe1002de818688546f324c9f0aa26a"},"schema_version":"1.0","source":{"id":"2607.11105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11105","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11105v1","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11105","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"LQ57NF3WXCDL","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_16","alias_value":"LQ57NF3WXCDLHDIA","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_8","alias_value":"LQ57NF3W","created_at":"2026-07-14T01:22:16Z"}],"graph_snapshots":[{"event_id":"sha256:9da42ec90537c830857ab104cf145d2733f1c8047e98974771f9d4bc775815ad","target":"graph","created_at":"2026-07-14T01:22:16Z","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/2607.11105/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The stable adatom configurations of a semiconductor surface have traditionally been sought by sampling: density functional theory (DFT) energies steer a heuristic or Bayesian search through a configuration space far too large to cover. Here we show that, for the GaN(0001)-$(6\\times6)$ surface under the electron counting (EC) rule, the search can instead be posed as a discrete tiling problem and solved exhaustively. Enumerating all rhombus tilings of the surface lattice, together with all EC-compatible adatom arrangements built on them, yields the complete catalog of 416,683 configurations at f","authors_text":"Akira Kusaba, Karol Kawka, Pawel Kempisty, Tetsuji Kuboyama","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-13T05:27:47Z","title":"Tiling decomposition multiplicity predicts stability of GaN(0001) surface reconstructions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11105","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":"sha256:95ed3fce6cfae45110c80610673c3dd08cacc1ebc8e9e8eb95552a563d7ca799","target":"record","created_at":"2026-07-14T01:22:16Z","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":"51c17f1f0156e0e6d5a9b92933b164703d920c3e94eb7f5bcb35ccd20dd0a1fd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-13T05:27:47Z","title_canon_sha256":"9561ba1121c66c7ed88481627c5ab5f89cfe1002de818688546f324c9f0aa26a"},"schema_version":"1.0","source":{"id":"2607.11105","kind":"arxiv","version":1}},"canonical_sha256":"5c3bf69776b886b38d004a20278114d53cca0c8462be411fe2e3963faf2b6c44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c3bf69776b886b38d004a20278114d53cca0c8462be411fe2e3963faf2b6c44","first_computed_at":"2026-07-14T01:22:16.626680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:22:16.626680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hmnufb8b48SllkOABDjjY5qXhMV6LgPgF6IpgtiBkBVTPZ2ZBJ+VGp0/yRqeLgyFjTzD+DzLhEgxM+7qjEMBAQ==","signature_status":"signed_v1","signed_at":"2026-07-14T01:22:16.627499Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.11105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ed3fce6cfae45110c80610673c3dd08cacc1ebc8e9e8eb95552a563d7ca799","sha256:9da42ec90537c830857ab104cf145d2733f1c8047e98974771f9d4bc775815ad"],"state_sha256":"ff917e0a1b531c5f7e64188eaeaedad874c8e92fb4569cb04bad2a7ff951998c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kQmAKCcCVucJJUDSRMJjnI9etIxyFAyT0APuh5mZ4/Rs7bbTehDF2St/g2xL4LNmmdhkXkIzwmZNKy4wkSSKAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-29T03:26:35.674046Z","bundle_sha256":"6ff5902d60c22c2d496664319d85ce482b618d3019de4ac2d69674b6600c661a"}}