{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7FTXIPGB77MYIRD5KXHCDKR33L","short_pith_number":"pith:7FTXIPGB","canonical_record":{"source":{"id":"2504.18834","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T07:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"c4a602e8d20a881189d9cc0a788a137d911fd8b98fe3f8a718903de31ca5773e","abstract_canon_sha256":"1ecdd71509ef0cab03d366fb76de4fa52411fb3d8e8af65ab8ecfc4baedc4b12"},"schema_version":"1.0"},"canonical_sha256":"f967743cc1ffd984447d55ce21aa3bdaefd3b56781be5d46007119a687b1f289","source":{"kind":"arxiv","id":"2504.18834","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18834","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18834v1","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18834","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"7FTXIPGB77MY","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_16","alias_value":"7FTXIPGB77MYIRD5","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_8","alias_value":"7FTXIPGB","created_at":"2026-07-05T10:54:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7FTXIPGB77MYIRD5KXHCDKR33L","target":"record","payload":{"canonical_record":{"source":{"id":"2504.18834","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T07:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"c4a602e8d20a881189d9cc0a788a137d911fd8b98fe3f8a718903de31ca5773e","abstract_canon_sha256":"1ecdd71509ef0cab03d366fb76de4fa52411fb3d8e8af65ab8ecfc4baedc4b12"},"schema_version":"1.0"},"canonical_sha256":"f967743cc1ffd984447d55ce21aa3bdaefd3b56781be5d46007119a687b1f289","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:54:22.090747Z","signature_b64":"iU0AgSP593P5n4M1+W+H+WlLpUEl3mtP6NHyvHuhnIcTxAL45/ZKbHgbX4t2FFzBdpghjyPGNJ7aSiXGKAcCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f967743cc1ffd984447d55ce21aa3bdaefd3b56781be5d46007119a687b1f289","last_reissued_at":"2026-07-05T10:54:22.090212Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:54:22.090212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.18834","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":"2026-07-05T10:54:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuzmksFr11LV/Vyupxn1eIipyw1TO/EMLKPEKFEVMWVQWB4tCdxkY+AihHQPcuEAOSO/OLqPQFErTEuSrvyaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:09.944380Z"},"content_sha256":"2ac890d7d9e6df94223c19229ff0eab6ed6cf5cc6749632306fba868f369db85","schema_version":"1.0","event_id":"sha256:2ac890d7d9e6df94223c19229ff0eab6ed6cf5cc6749632306fba868f369db85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7FTXIPGB77MYIRD5KXHCDKR33L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiclassical approximation for barrier billiards","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eugene Bogomolny","submitted_at":"2025-04-26T07:41:13Z","abstract_excerpt":"Barrier billiards are simple examples of pseudo-integrable models which form an appealing but poorly investigated subclass of dynamical systems. The paper examines the semiclassical limit of the exact quantum transfer operator for barrier billiards constructed in [J. Phys. A: Math. Theor. \\textbf{55}, 024001 (2022)]. The obtained asymptotic expressions are used to provide analytical arguments to support the conjecture that spectral statistical properties of barrier billiards are described by the semi-Poisson distribution and to derive the trace formulas for such billiards which in the transfer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18834","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/2504.18834/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":"2026-07-05T10:54:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZRdffYJo6hy0mIVg2FhpyYV2TSEMs8w1gq4YycmabpzmRSnsKiMkqDZp7eM06tFibu3ZNnr2W5tJEQaX2VoIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:09.944733Z"},"content_sha256":"27d79a9fb31e39fc28aaf667613ad4f8fb1353248de151cccc7af565c7471d26","schema_version":"1.0","event_id":"sha256:27d79a9fb31e39fc28aaf667613ad4f8fb1353248de151cccc7af565c7471d26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FTXIPGB77MYIRD5KXHCDKR33L/bundle.json","state_url":"https://pith.science/pith/7FTXIPGB77MYIRD5KXHCDKR33L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FTXIPGB77MYIRD5KXHCDKR33L/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":"2026-08-23T05:53:09Z","links":{"resolver":"https://pith.science/pith/7FTXIPGB77MYIRD5KXHCDKR33L","bundle":"https://pith.science/pith/7FTXIPGB77MYIRD5KXHCDKR33L/bundle.json","state":"https://pith.science/pith/7FTXIPGB77MYIRD5KXHCDKR33L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FTXIPGB77MYIRD5KXHCDKR33L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7FTXIPGB77MYIRD5KXHCDKR33L","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":"1ecdd71509ef0cab03d366fb76de4fa52411fb3d8e8af65ab8ecfc4baedc4b12","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T07:41:13Z","title_canon_sha256":"c4a602e8d20a881189d9cc0a788a137d911fd8b98fe3f8a718903de31ca5773e"},"schema_version":"1.0","source":{"id":"2504.18834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18834","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18834v1","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18834","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"7FTXIPGB77MY","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_16","alias_value":"7FTXIPGB77MYIRD5","created_at":"2026-07-05T10:54:22Z"},{"alias_kind":"pith_short_8","alias_value":"7FTXIPGB","created_at":"2026-07-05T10:54:22Z"}],"graph_snapshots":[{"event_id":"sha256:27d79a9fb31e39fc28aaf667613ad4f8fb1353248de151cccc7af565c7471d26","target":"graph","created_at":"2026-07-05T10:54:22Z","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/2504.18834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Barrier billiards are simple examples of pseudo-integrable models which form an appealing but poorly investigated subclass of dynamical systems. The paper examines the semiclassical limit of the exact quantum transfer operator for barrier billiards constructed in [J. Phys. A: Math. Theor. \\textbf{55}, 024001 (2022)]. The obtained asymptotic expressions are used to provide analytical arguments to support the conjecture that spectral statistical properties of barrier billiards are described by the semi-Poisson distribution and to derive the trace formulas for such billiards which in the transfer","authors_text":"Eugene Bogomolny","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T07:41:13Z","title":"Semiclassical approximation for barrier billiards"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18834","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":"sha256:2ac890d7d9e6df94223c19229ff0eab6ed6cf5cc6749632306fba868f369db85","target":"record","created_at":"2026-07-05T10:54:22Z","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":"1ecdd71509ef0cab03d366fb76de4fa52411fb3d8e8af65ab8ecfc4baedc4b12","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T07:41:13Z","title_canon_sha256":"c4a602e8d20a881189d9cc0a788a137d911fd8b98fe3f8a718903de31ca5773e"},"schema_version":"1.0","source":{"id":"2504.18834","kind":"arxiv","version":1}},"canonical_sha256":"f967743cc1ffd984447d55ce21aa3bdaefd3b56781be5d46007119a687b1f289","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f967743cc1ffd984447d55ce21aa3bdaefd3b56781be5d46007119a687b1f289","first_computed_at":"2026-07-05T10:54:22.090212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:22.090212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iU0AgSP593P5n4M1+W+H+WlLpUEl3mtP6NHyvHuhnIcTxAL45/ZKbHgbX4t2FFzBdpghjyPGNJ7aSiXGKAcCBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:22.090747Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.18834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ac890d7d9e6df94223c19229ff0eab6ed6cf5cc6749632306fba868f369db85","sha256:27d79a9fb31e39fc28aaf667613ad4f8fb1353248de151cccc7af565c7471d26"],"state_sha256":"40d9efa3eb4f3f741174f80e56d7314b9ad61370d3c4e5e3a070df5cade160cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sYQZbnbWsbbQuqyQa/YKhif7BDwBr5P9VkI4+nDUX+4M7pdGsHoX0CLKjf6T0LrxTDfWgPJdugQF+c8bgFpFBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T05:53:09.948043Z","bundle_sha256":"9ea62ac84f6dfb5355732677061b308ad5b490d6ca1cb053f74614e55ca8715f"}}