{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2RSMKA4R3H5GR7OELCYSHRTYHH","short_pith_number":"pith:2RSMKA4R","canonical_record":{"source":{"id":"2606.31568","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T12:27:21Z","cross_cats_sorted":[],"title_canon_sha256":"8081c4866ebd6ade43d64d510c46a6af5ed03d6f5c5386dd246bc2f500f9a73b","abstract_canon_sha256":"bd6f22385d012b4f574740426340348ce5fff44f3fd7bfd3201732732f366656"},"schema_version":"1.0"},"canonical_sha256":"d464c50391d9fa68fdc458b123c67839dc4ed594b9f8beff42e499877d99aa61","source":{"kind":"arxiv","id":"2606.31568","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31568","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31568v1","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31568","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"2RSMKA4R3H5G","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_16","alias_value":"2RSMKA4R3H5GR7OE","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_8","alias_value":"2RSMKA4R","created_at":"2026-07-01T01:18:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2RSMKA4R3H5GR7OELCYSHRTYHH","target":"record","payload":{"canonical_record":{"source":{"id":"2606.31568","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T12:27:21Z","cross_cats_sorted":[],"title_canon_sha256":"8081c4866ebd6ade43d64d510c46a6af5ed03d6f5c5386dd246bc2f500f9a73b","abstract_canon_sha256":"bd6f22385d012b4f574740426340348ce5fff44f3fd7bfd3201732732f366656"},"schema_version":"1.0"},"canonical_sha256":"d464c50391d9fa68fdc458b123c67839dc4ed594b9f8beff42e499877d99aa61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:18:07.907213Z","signature_b64":"ugn6K1DFboX/0wGOuonewtGiXSfH0f7dXbgVbR2WwtgDmh4MHzIaYpZmUQEtktW/lGGl029FzaSwwDaj2QWfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d464c50391d9fa68fdc458b123c67839dc4ed594b9f8beff42e499877d99aa61","last_reissued_at":"2026-07-01T01:18:07.906781Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:18:07.906781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.31568","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":"2026-07-01T01:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQkJcCeqQhtbZ76GGiefjFS0ryoKDvYz5zCDi4LPzuCYQLD3DTAQM63mS/KZeH6VHWjoI0tc38c1IMu8rVAfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T20:20:50.207919Z"},"content_sha256":"3a9463948ff4362cb951282f133d29e877dd614210d7298edd2c02b550c84d73","schema_version":"1.0","event_id":"sha256:3a9463948ff4362cb951282f133d29e877dd614210d7298edd2c02b550c84d73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2RSMKA4R3H5GR7OELCYSHRTYHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A logarithmic phase singularity at the heart of Landau-Zener transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David Fabian, Eric P. Glasbrenner, Wolfgang P. Schleich","submitted_at":"2026-06-30T12:27:21Z","abstract_excerpt":"Three ingredients of the elementary Landau-Zener problem determine the familiar expression $a_{LZ}\\equiv\\exp\\left[-\\pi/(2\\epsilon)\\right]$ for the asymptotic value of the probability amplitude for remaining in the initial level: (i) A wave whose phase is determined by the product of a contour integral over a simple pole at the origin of the complex plane and the inverse of twice the scaled chirp parameter $\\epsilon$. (ii) An asymptotic limit of the associated path connecting the points $\\pm 1$ along the real axis and circumventing the pole in the upper half-plane, and (iii) a half-circle in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31568","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/2606.31568/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":"2026-07-01T01:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t708EV1QWMTaIPlzzkDTpcmPQ0sas0uLN9XgBxT4ulfSCdu4wzZPmaBJeioZ9Qbc5YS+DycGe7dxDlKp5USiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T20:20:50.208449Z"},"content_sha256":"445cebd832b0b1ffe2c21e6adb41f9f8b33d9c764b885146f91590bb24baef7c","schema_version":"1.0","event_id":"sha256:445cebd832b0b1ffe2c21e6adb41f9f8b33d9c764b885146f91590bb24baef7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/bundle.json","state_url":"https://pith.science/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/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":"2026-07-01T20:20:50Z","links":{"resolver":"https://pith.science/pith/2RSMKA4R3H5GR7OELCYSHRTYHH","bundle":"https://pith.science/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/bundle.json","state":"https://pith.science/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RSMKA4R3H5GR7OELCYSHRTYHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2RSMKA4R3H5GR7OELCYSHRTYHH","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":"bd6f22385d012b4f574740426340348ce5fff44f3fd7bfd3201732732f366656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T12:27:21Z","title_canon_sha256":"8081c4866ebd6ade43d64d510c46a6af5ed03d6f5c5386dd246bc2f500f9a73b"},"schema_version":"1.0","source":{"id":"2606.31568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31568","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31568v1","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31568","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"2RSMKA4R3H5G","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_16","alias_value":"2RSMKA4R3H5GR7OE","created_at":"2026-07-01T01:18:07Z"},{"alias_kind":"pith_short_8","alias_value":"2RSMKA4R","created_at":"2026-07-01T01:18:07Z"}],"graph_snapshots":[{"event_id":"sha256:445cebd832b0b1ffe2c21e6adb41f9f8b33d9c764b885146f91590bb24baef7c","target":"graph","created_at":"2026-07-01T01:18:07Z","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/2606.31568/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Three ingredients of the elementary Landau-Zener problem determine the familiar expression $a_{LZ}\\equiv\\exp\\left[-\\pi/(2\\epsilon)\\right]$ for the asymptotic value of the probability amplitude for remaining in the initial level: (i) A wave whose phase is determined by the product of a contour integral over a simple pole at the origin of the complex plane and the inverse of twice the scaled chirp parameter $\\epsilon$. (ii) An asymptotic limit of the associated path connecting the points $\\pm 1$ along the real axis and circumventing the pole in the upper half-plane, and (iii) a half-circle in th","authors_text":"David Fabian, Eric P. Glasbrenner, Wolfgang P. Schleich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T12:27:21Z","title":"A logarithmic phase singularity at the heart of Landau-Zener transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31568","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":"sha256:3a9463948ff4362cb951282f133d29e877dd614210d7298edd2c02b550c84d73","target":"record","created_at":"2026-07-01T01:18:07Z","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":"bd6f22385d012b4f574740426340348ce5fff44f3fd7bfd3201732732f366656","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T12:27:21Z","title_canon_sha256":"8081c4866ebd6ade43d64d510c46a6af5ed03d6f5c5386dd246bc2f500f9a73b"},"schema_version":"1.0","source":{"id":"2606.31568","kind":"arxiv","version":1}},"canonical_sha256":"d464c50391d9fa68fdc458b123c67839dc4ed594b9f8beff42e499877d99aa61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d464c50391d9fa68fdc458b123c67839dc4ed594b9f8beff42e499877d99aa61","first_computed_at":"2026-07-01T01:18:07.906781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:07.906781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ugn6K1DFboX/0wGOuonewtGiXSfH0f7dXbgVbR2WwtgDmh4MHzIaYpZmUQEtktW/lGGl029FzaSwwDaj2QWfBg==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:07.907213Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a9463948ff4362cb951282f133d29e877dd614210d7298edd2c02b550c84d73","sha256:445cebd832b0b1ffe2c21e6adb41f9f8b33d9c764b885146f91590bb24baef7c"],"state_sha256":"71020ec5877594d9bee1b2ff68dd1b552f25675caba0ca18a5524f17ad32338b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YvHHKxD9Q5616Pl/Z1h3AEiBherIU4u9GGBlv0K5Ym27HESLMQQvh6ofVDBkU97rkLcP6m5+6QIrcUEFxkeiCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T20:20:50.211453Z","bundle_sha256":"5d7cfac8020af194e7984b0947fd9b11f7cb6223bc256144e0e4addbb1a05551"}}