{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BY6G4RVJ7CKMRHUUDZE3D34M33","short_pith_number":"pith:BY6G4RVJ","canonical_record":{"source":{"id":"1302.3511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T19:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"e4569ec100d88d07a5b9f21d885e254513ae8afe46b03b96e62b800fc13dbafd","abstract_canon_sha256":"d4c3f7256c611d2c29426c48fb70c390918432fc82d21bb4477f3779ea3fcc09"},"schema_version":"1.0"},"canonical_sha256":"0e3c6e46a9f894c89e941e49b1ef8cdefb76afc7433446bffee0b4bf2ac63ab5","source":{"kind":"arxiv","id":"1302.3511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3511","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3511v1","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3511","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"BY6G4RVJ7CKM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BY6G4RVJ7CKMRHUU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BY6G4RVJ","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BY6G4RVJ7CKMRHUUDZE3D34M33","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T19:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"e4569ec100d88d07a5b9f21d885e254513ae8afe46b03b96e62b800fc13dbafd","abstract_canon_sha256":"d4c3f7256c611d2c29426c48fb70c390918432fc82d21bb4477f3779ea3fcc09"},"schema_version":"1.0"},"canonical_sha256":"0e3c6e46a9f894c89e941e49b1ef8cdefb76afc7433446bffee0b4bf2ac63ab5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:38.393890Z","signature_b64":"3awRbvUMP54ob9ZKzv4/7YTH3dXveAdirZYZtLPjMAVIho/ZnZEnETAFu+RSYVgyMGfY7Xqv3BRO98A6av6QAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e3c6e46a9f894c89e941e49b1ef8cdefb76afc7433446bffee0b4bf2ac63ab5","last_reissued_at":"2026-05-18T03:33:38.393039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:38.393039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3511","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":"2026-05-18T03:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUY/Dv9Mj01JNltkjBxdAcNF6DvvQltvyfESgupO5ivGiEhJ4TcPbLZQEnq5TzExUym/KVQKH4QN1tx5ZIn+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:29:34.556975Z"},"content_sha256":"557caa0f6476b6b8a235e03e04c0174f4fbc66ff22d7f88429c9df5a6567444c","schema_version":"1.0","event_id":"sha256:557caa0f6476b6b8a235e03e04c0174f4fbc66ff22d7f88429c9df5a6567444c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BY6G4RVJ7CKMRHUUDZE3D34M33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical study of quadratic and non-quadratic short-time behavior of quantum decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gast\\'on Garc\\'ia-Calder\\'on, Sergio Cordero","submitted_at":"2013-02-14T19:16:24Z","abstract_excerpt":"The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survival amplitude. It is shown that in general the short-time behavior of the survival probability $S(t)$ has a dependence on the initial state and may behave either as $S(t)=1-\\mathcal{O}(t^{3/2})$ or as $S(t)=1-\\mathcal{O}(t^{2})$. The above cases are illustrated by solvable models. The experiment reported in Ref. [1] does not distinguish between the above short-time behaviors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3511","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":""},"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":"2026-05-18T03:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1TIMSH3JjwFI8xMFUOYoQwcSO2bGWxqHdZkddsKOv5NSfoA1+Ee8XaYyH7rt5Mszqzt4sfUUPPtNX1ADtr2sDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:29:34.557391Z"},"content_sha256":"c26d1fde3b0822d57983d558f0afb3a18019eda919198fe78fac4cc26765b9a7","schema_version":"1.0","event_id":"sha256:c26d1fde3b0822d57983d558f0afb3a18019eda919198fe78fac4cc26765b9a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/bundle.json","state_url":"https://pith.science/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/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":"2026-06-03T04:29:34Z","links":{"resolver":"https://pith.science/pith/BY6G4RVJ7CKMRHUUDZE3D34M33","bundle":"https://pith.science/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/bundle.json","state":"https://pith.science/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BY6G4RVJ7CKMRHUUDZE3D34M33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BY6G4RVJ7CKMRHUUDZE3D34M33","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":"d4c3f7256c611d2c29426c48fb70c390918432fc82d21bb4477f3779ea3fcc09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T19:16:24Z","title_canon_sha256":"e4569ec100d88d07a5b9f21d885e254513ae8afe46b03b96e62b800fc13dbafd"},"schema_version":"1.0","source":{"id":"1302.3511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3511","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3511v1","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3511","created_at":"2026-05-18T03:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"BY6G4RVJ7CKM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BY6G4RVJ7CKMRHUU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BY6G4RVJ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:c26d1fde3b0822d57983d558f0afb3a18019eda919198fe78fac4cc26765b9a7","target":"graph","created_at":"2026-05-18T03:33:38Z","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":"The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survival amplitude. It is shown that in general the short-time behavior of the survival probability $S(t)$ has a dependence on the initial state and may behave either as $S(t)=1-\\mathcal{O}(t^{3/2})$ or as $S(t)=1-\\mathcal{O}(t^{2})$. The above cases are illustrated by solvable models. The experiment reported in Ref. [1] does not distinguish between the above short-time behaviors.","authors_text":"Gast\\'on Garc\\'ia-Calder\\'on, Sergio Cordero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T19:16:24Z","title":"Analytical study of quadratic and non-quadratic short-time behavior of quantum decay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3511","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":"sha256:557caa0f6476b6b8a235e03e04c0174f4fbc66ff22d7f88429c9df5a6567444c","target":"record","created_at":"2026-05-18T03:33:38Z","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":"d4c3f7256c611d2c29426c48fb70c390918432fc82d21bb4477f3779ea3fcc09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T19:16:24Z","title_canon_sha256":"e4569ec100d88d07a5b9f21d885e254513ae8afe46b03b96e62b800fc13dbafd"},"schema_version":"1.0","source":{"id":"1302.3511","kind":"arxiv","version":1}},"canonical_sha256":"0e3c6e46a9f894c89e941e49b1ef8cdefb76afc7433446bffee0b4bf2ac63ab5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e3c6e46a9f894c89e941e49b1ef8cdefb76afc7433446bffee0b4bf2ac63ab5","first_computed_at":"2026-05-18T03:33:38.393039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:38.393039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3awRbvUMP54ob9ZKzv4/7YTH3dXveAdirZYZtLPjMAVIho/ZnZEnETAFu+RSYVgyMGfY7Xqv3BRO98A6av6QAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:38.393890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:557caa0f6476b6b8a235e03e04c0174f4fbc66ff22d7f88429c9df5a6567444c","sha256:c26d1fde3b0822d57983d558f0afb3a18019eda919198fe78fac4cc26765b9a7"],"state_sha256":"4ddec6a48a9f09ca9866bbcf7eca884c7a28c3e0c7fa17f46b148ee2786f1f93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gWIclG9+BGjjODqwQiKZX7IF2LB7BvL+KLUBDkldeMLzrGxYifU0Ud00Y0YVpEl9hHEXQG37tiDyDH1MTpT/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:29:34.559260Z","bundle_sha256":"6310c5d1bc1010c8c3da5238af6ad819dc8ac80b420e774489a34b569b896eb3"}}