{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:OPKIMB4CHGQMCQVPULOBVKBTMK","short_pith_number":"pith:OPKIMB4C","canonical_record":{"source":{"id":"0907.3766","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-07-22T02:37:50Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"a607a996f6f0c02d47b9713d7ab8f7042a8e8fd0c5082dde255ccacba7582132","abstract_canon_sha256":"50eb6f0eebbb891deba923c803e9a9066fcac1dbbc70b1c71cb1c71aa3c8c232"},"schema_version":"1.0"},"canonical_sha256":"73d486078239a0c142afa2dc1aa83362887bced25bbbc73b97d29e9cb4c1ba2c","source":{"kind":"arxiv","id":"0907.3766","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3766","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3766v3","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3766","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"OPKIMB4CHGQM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OPKIMB4CHGQMCQVP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OPKIMB4C","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:OPKIMB4CHGQMCQVPULOBVKBTMK","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3766","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-07-22T02:37:50Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"a607a996f6f0c02d47b9713d7ab8f7042a8e8fd0c5082dde255ccacba7582132","abstract_canon_sha256":"50eb6f0eebbb891deba923c803e9a9066fcac1dbbc70b1c71cb1c71aa3c8c232"},"schema_version":"1.0"},"canonical_sha256":"73d486078239a0c142afa2dc1aa83362887bced25bbbc73b97d29e9cb4c1ba2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:54.837054Z","signature_b64":"TBC5FrzTYky7BTgpEuxr7+u3Sj4nTa4ftL+wiL/ZdTkg8ulNwGLBMV6qg0dSKs1vIlF2vQ/z0blAlDlgEyAnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d486078239a0c142afa2dc1aa83362887bced25bbbc73b97d29e9cb4c1ba2c","last_reissued_at":"2026-05-18T02:12:54.836478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:54.836478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3766","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7j0XeZIykkUyXUffJZEsMeS4f0BPwxbwGE3G5jY03wbJSK81h36bw/SISW1nR4orrBV/gjgY7g849LIlFb23Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:21:30.280327Z"},"content_sha256":"214b5fd136bc4a66e54189445ee973053cc322418ef62997be2f23cdb19b1c56","schema_version":"1.0","event_id":"sha256:214b5fd136bc4a66e54189445ee973053cc322418ef62997be2f23cdb19b1c56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:OPKIMB4CHGQMCQVPULOBVKBTMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiclassical Approach to Survival Probability at Quantum Phase Transitions","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Lewei He, Ping Wang, Pinquan Qin, Wen-ge Wang","submitted_at":"2009-07-22T02:37:50Z","abstract_excerpt":"We study the decay of survival probability at quantum phase transitions (QPT). The semiclassical theory is found applicable in the vicinities of critical points with infinite degeneracy. The theory predicts a power law decay of the survival probability for relatively long times in systems with d=1 and an exponential decay in systems with sufficiently large d, where d is the degrees of freedom of the underlying classical dynamics. The semiclassical predictions are checked numerically in four models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3766","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LM6ytzj6fo9m+iSh7urpPjAh6ijdxrgutZWu9Ux+Od3uB5GyBayRfUTPQciA7jJD+VKuGOrHK62jezOKgV4oBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:21:30.280682Z"},"content_sha256":"eaa5ca07d176cedb49ef85046daef34dac549155fdc0c5e90c1cac56249faf12","schema_version":"1.0","event_id":"sha256:eaa5ca07d176cedb49ef85046daef34dac549155fdc0c5e90c1cac56249faf12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/bundle.json","state_url":"https://pith.science/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/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":"2026-05-25T19:21:30Z","links":{"resolver":"https://pith.science/pith/OPKIMB4CHGQMCQVPULOBVKBTMK","bundle":"https://pith.science/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/bundle.json","state":"https://pith.science/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPKIMB4CHGQMCQVPULOBVKBTMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OPKIMB4CHGQMCQVPULOBVKBTMK","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":"50eb6f0eebbb891deba923c803e9a9066fcac1dbbc70b1c71cb1c71aa3c8c232","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-07-22T02:37:50Z","title_canon_sha256":"a607a996f6f0c02d47b9713d7ab8f7042a8e8fd0c5082dde255ccacba7582132"},"schema_version":"1.0","source":{"id":"0907.3766","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3766","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3766v3","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3766","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"OPKIMB4CHGQM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OPKIMB4CHGQMCQVP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OPKIMB4C","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:eaa5ca07d176cedb49ef85046daef34dac549155fdc0c5e90c1cac56249faf12","target":"graph","created_at":"2026-05-18T02:12:54Z","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"},"paper":{"abstract_excerpt":"We study the decay of survival probability at quantum phase transitions (QPT). The semiclassical theory is found applicable in the vicinities of critical points with infinite degeneracy. The theory predicts a power law decay of the survival probability for relatively long times in systems with d=1 and an exponential decay in systems with sufficiently large d, where d is the degrees of freedom of the underlying classical dynamics. The semiclassical predictions are checked numerically in four models.","authors_text":"Lewei He, Ping Wang, Pinquan Qin, Wen-ge Wang","cross_cats":["cond-mat.stat-mech","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-07-22T02:37:50Z","title":"Semiclassical Approach to Survival Probability at Quantum Phase Transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3766","kind":"arxiv","version":3},"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":"sha256:214b5fd136bc4a66e54189445ee973053cc322418ef62997be2f23cdb19b1c56","target":"record","created_at":"2026-05-18T02:12:54Z","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":"50eb6f0eebbb891deba923c803e9a9066fcac1dbbc70b1c71cb1c71aa3c8c232","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2009-07-22T02:37:50Z","title_canon_sha256":"a607a996f6f0c02d47b9713d7ab8f7042a8e8fd0c5082dde255ccacba7582132"},"schema_version":"1.0","source":{"id":"0907.3766","kind":"arxiv","version":3}},"canonical_sha256":"73d486078239a0c142afa2dc1aa83362887bced25bbbc73b97d29e9cb4c1ba2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73d486078239a0c142afa2dc1aa83362887bced25bbbc73b97d29e9cb4c1ba2c","first_computed_at":"2026-05-18T02:12:54.836478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:54.836478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TBC5FrzTYky7BTgpEuxr7+u3Sj4nTa4ftL+wiL/ZdTkg8ulNwGLBMV6qg0dSKs1vIlF2vQ/z0blAlDlgEyAnCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:54.837054Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3766","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:214b5fd136bc4a66e54189445ee973053cc322418ef62997be2f23cdb19b1c56","sha256:eaa5ca07d176cedb49ef85046daef34dac549155fdc0c5e90c1cac56249faf12"],"state_sha256":"3ad5de706917cc1ab46b9a852131692ca2224f0dfbe3d3854162fe7a342c19eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D2Vwp91IQzGfyNFrXPsCGs/Qul7Gkp3WYt8hFQ0GAfkblbggORV+zocDudNvASgXDWPl5/v9hTN6RjxuVscSCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:21:30.283107Z","bundle_sha256":"2979f75b9da261e86d95717270a4c03ff1a490973cbece4c7384a2140b2682a7"}}