{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:GJV264AL6HONIZ27FEMW4YO66H","short_pith_number":"pith:GJV264AL","canonical_record":{"source":{"id":"2411.10691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-16T03:58:24Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4c95d18801e1ce0df96eba74c53dd099214eae8e265f16accf063fe0be2ce06c","abstract_canon_sha256":"649d5b6bf04f00f39ef51cdbb919341114826294bc4472f160fee8655ee4cbbd"},"schema_version":"1.0"},"canonical_sha256":"326baf700bf1dcd4675f29196e61def1ff5e0fc6c3231b43735f0d1b58f68db8","source":{"kind":"arxiv","id":"2411.10691","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10691","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10691v1","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10691","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"GJV264AL6HON","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"GJV264AL6HONIZ27","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"GJV264AL","created_at":"2026-07-05T09:36:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:GJV264AL6HONIZ27FEMW4YO66H","target":"record","payload":{"canonical_record":{"source":{"id":"2411.10691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-16T03:58:24Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4c95d18801e1ce0df96eba74c53dd099214eae8e265f16accf063fe0be2ce06c","abstract_canon_sha256":"649d5b6bf04f00f39ef51cdbb919341114826294bc4472f160fee8655ee4cbbd"},"schema_version":"1.0"},"canonical_sha256":"326baf700bf1dcd4675f29196e61def1ff5e0fc6c3231b43735f0d1b58f68db8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:20.608050Z","signature_b64":"+Sw52wY5nB1EiaxFjhIR8j6a0DHF0XoAFiKEqMTQwmqCMuLoO5pCBXw4DNX1bqg5Emh/2PvSLWosHcXp8S1YAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"326baf700bf1dcd4675f29196e61def1ff5e0fc6c3231b43735f0d1b58f68db8","last_reissued_at":"2026-07-05T09:36:20.607636Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:20.607636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.10691","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":"2026-07-05T09:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hj+/hMWlmMFA5yNzkJC7h/NeUdVnmF64UAvodYONA/ilh5FF5H69Tw2/PMJxWTCCcSmbG6FbjB0IC++qX9reBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:09:27.372546Z"},"content_sha256":"5e9b40db06904431857edcd50019115d7783eb2e590b37b4b4aad087a03501b9","schema_version":"1.0","event_id":"sha256:5e9b40db06904431857edcd50019115d7783eb2e590b37b4b4aad087a03501b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:GJV264AL6HONIZ27FEMW4YO66H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Quantum Trace Formula from Complex Periodic Orbits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Chaoming Song","submitted_at":"2024-11-16T03:58:24Z","abstract_excerpt":"The Gutzwiller trace formula establishes a profound connection between the quantum spectrum and classical periodic orbits. However, its application is limited by its reliance on the semiclassical saddle point approximation. In this work, we explore the full quantum version of the trace formula using the Lefschetz thimble method by incorporating complexified periodic orbits. Upon complexification, classical real periodic orbits are transformed into cycles on compact Riemann surfaces. Our key innovation lies in the simultaneous complexification of the periods of cycles, resulting in a fully quan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10691","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/2411.10691/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":"2026-07-05T09:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SaMsOhbfCM6KxnPKtMNgDhq0MW2y915kfGyJM7eDBAvoXbpbehfWaCsKz/jGehOOTvciCAmV1SJO3zpJerEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:09:27.373014Z"},"content_sha256":"68499d3e0e2dd27ac828475349cc30dc1a1de5e1c4d648c8b5cacadefc87b6ad","schema_version":"1.0","event_id":"sha256:68499d3e0e2dd27ac828475349cc30dc1a1de5e1c4d648c8b5cacadefc87b6ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJV264AL6HONIZ27FEMW4YO66H/bundle.json","state_url":"https://pith.science/pith/GJV264AL6HONIZ27FEMW4YO66H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJV264AL6HONIZ27FEMW4YO66H/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":"2026-08-15T12:09:27Z","links":{"resolver":"https://pith.science/pith/GJV264AL6HONIZ27FEMW4YO66H","bundle":"https://pith.science/pith/GJV264AL6HONIZ27FEMW4YO66H/bundle.json","state":"https://pith.science/pith/GJV264AL6HONIZ27FEMW4YO66H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJV264AL6HONIZ27FEMW4YO66H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GJV264AL6HONIZ27FEMW4YO66H","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":"649d5b6bf04f00f39ef51cdbb919341114826294bc4472f160fee8655ee4cbbd","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-16T03:58:24Z","title_canon_sha256":"4c95d18801e1ce0df96eba74c53dd099214eae8e265f16accf063fe0be2ce06c"},"schema_version":"1.0","source":{"id":"2411.10691","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10691","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10691v1","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10691","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"GJV264AL6HON","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"GJV264AL6HONIZ27","created_at":"2026-07-05T09:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"GJV264AL","created_at":"2026-07-05T09:36:20Z"}],"graph_snapshots":[{"event_id":"sha256:68499d3e0e2dd27ac828475349cc30dc1a1de5e1c4d648c8b5cacadefc87b6ad","target":"graph","created_at":"2026-07-05T09:36:20Z","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/2411.10691/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Gutzwiller trace formula establishes a profound connection between the quantum spectrum and classical periodic orbits. However, its application is limited by its reliance on the semiclassical saddle point approximation. In this work, we explore the full quantum version of the trace formula using the Lefschetz thimble method by incorporating complexified periodic orbits. Upon complexification, classical real periodic orbits are transformed into cycles on compact Riemann surfaces. Our key innovation lies in the simultaneous complexification of the periods of cycles, resulting in a fully quan","authors_text":"Chaoming Song","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-16T03:58:24Z","title":"Exact Quantum Trace Formula from Complex Periodic Orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10691","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":"sha256:5e9b40db06904431857edcd50019115d7783eb2e590b37b4b4aad087a03501b9","target":"record","created_at":"2026-07-05T09:36:20Z","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":"649d5b6bf04f00f39ef51cdbb919341114826294bc4472f160fee8655ee4cbbd","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-16T03:58:24Z","title_canon_sha256":"4c95d18801e1ce0df96eba74c53dd099214eae8e265f16accf063fe0be2ce06c"},"schema_version":"1.0","source":{"id":"2411.10691","kind":"arxiv","version":1}},"canonical_sha256":"326baf700bf1dcd4675f29196e61def1ff5e0fc6c3231b43735f0d1b58f68db8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326baf700bf1dcd4675f29196e61def1ff5e0fc6c3231b43735f0d1b58f68db8","first_computed_at":"2026-07-05T09:36:20.607636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:20.607636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Sw52wY5nB1EiaxFjhIR8j6a0DHF0XoAFiKEqMTQwmqCMuLoO5pCBXw4DNX1bqg5Emh/2PvSLWosHcXp8S1YAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:20.608050Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.10691","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e9b40db06904431857edcd50019115d7783eb2e590b37b4b4aad087a03501b9","sha256:68499d3e0e2dd27ac828475349cc30dc1a1de5e1c4d648c8b5cacadefc87b6ad"],"state_sha256":"dcd0911103369ba5a946d8c99dcccb347073bf0233d8a1a2b2eb4cb8eedc49f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVv6IbPY7JwHQ6xTAo6tMrlg67v5oWoIOxzWK85uwep03WLqdBB/MDLXp43V1cik/lCA2pZ27drZ0aWQVvP3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T12:09:27.376118Z","bundle_sha256":"c2ce641b2eb95eccb15311fea3b903624099961f1b70554cacdb4157f35a12bf"}}