{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:QQ3Q36DRITNMRIAIYZX6SDSR5F","short_pith_number":"pith:QQ3Q36DR","canonical_record":{"source":{"id":"0704.1184","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-04-10T03:57:09Z","cross_cats_sorted":[],"title_canon_sha256":"6333776eb912199db17b1051fc87d5aaed6434304b97816fb9b083d546778333","abstract_canon_sha256":"5a54501759cafc53830751fdcc09fcd2529aa6ef55f038d467fd9e1274f6adce"},"schema_version":"1.0"},"canonical_sha256":"84370df87144dac8a008c66fe90e51e96fa935983b8b805f9a4fac697214c98a","source":{"kind":"arxiv","id":"0704.1184","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.1184","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"0704.1184v1","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.1184","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"QQ3Q36DRITNM","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"QQ3Q36DRITNMRIAI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"QQ3Q36DR","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:QQ3Q36DRITNMRIAIYZX6SDSR5F","target":"record","payload":{"canonical_record":{"source":{"id":"0704.1184","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-04-10T03:57:09Z","cross_cats_sorted":[],"title_canon_sha256":"6333776eb912199db17b1051fc87d5aaed6434304b97816fb9b083d546778333","abstract_canon_sha256":"5a54501759cafc53830751fdcc09fcd2529aa6ef55f038d467fd9e1274f6adce"},"schema_version":"1.0"},"canonical_sha256":"84370df87144dac8a008c66fe90e51e96fa935983b8b805f9a4fac697214c98a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:31.945170Z","signature_b64":"yNvu1kxVnJ3d44eHhWzeZ2Bn2K/6atUT7Nrk5rDWktNPTWOF4mBxznOuTFn22urx/TVxfFRnPNt1RJp+wBv6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84370df87144dac8a008c66fe90e51e96fa935983b8b805f9a4fac697214c98a","last_reissued_at":"2026-05-18T02:16:31.944704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:31.944704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.1184","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":"2026-05-18T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xKbevIvfb/VPipAPrkE5BMC5Av5mAs9IDDMcXLLoUQRq3NknaI0/n94oIVzotkUb/SqENyB3SC1E5Qa0JUrVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:55:06.598815Z"},"content_sha256":"033144f95176ff83c6d99f59a326ee43176463b128efb953a256cae28954633e","schema_version":"1.0","event_id":"sha256:033144f95176ff83c6d99f59a326ee43176463b128efb953a256cae28954633e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:QQ3Q36DRITNMRIAIYZX6SDSR5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sufficiency Criterion for the Validity of the Adiabatic Approximation","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"C H Oh, D M Tong, K Singh, L C Kwek","submitted_at":"2007-04-10T03:57:09Z","abstract_excerpt":"We examine the quantitative condition which has been widely used as a criterion for the adiabatic approximation but was recently found insufficient. Our results indicate that the usual quantitative condition is sufficient for a special class of quantum mechanical systems. For general systems, it may not be sufficient, but it along with additional conditions is sufficient. The usual quantitative condition and the additional conditions constitute a general criterion for the validity of the adiabatic approximation, which is applicable to all $N-$dimensional quantum systems. Moreover, we illustrat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.1184","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":"2026-05-18T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpueQGgAPQBjWPM384XCBAnz55Lt4bs64pa/5aPnZzoUx8h3Ls/0xxjssZVZ2FiM54vbM9Z3L3AfBmCOzGetDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:55:06.599236Z"},"content_sha256":"4985106c9bf79482fdd9fe0a9fd7a546987863b19fc7f88f942522c14a640e7c","schema_version":"1.0","event_id":"sha256:4985106c9bf79482fdd9fe0a9fd7a546987863b19fc7f88f942522c14a640e7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/bundle.json","state_url":"https://pith.science/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/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":"2026-06-11T13:55:06Z","links":{"resolver":"https://pith.science/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F","bundle":"https://pith.science/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/bundle.json","state":"https://pith.science/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQ3Q36DRITNMRIAIYZX6SDSR5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:QQ3Q36DRITNMRIAIYZX6SDSR5F","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":"5a54501759cafc53830751fdcc09fcd2529aa6ef55f038d467fd9e1274f6adce","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-04-10T03:57:09Z","title_canon_sha256":"6333776eb912199db17b1051fc87d5aaed6434304b97816fb9b083d546778333"},"schema_version":"1.0","source":{"id":"0704.1184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.1184","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"0704.1184v1","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.1184","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"QQ3Q36DRITNM","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"QQ3Q36DRITNMRIAI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"QQ3Q36DR","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:4985106c9bf79482fdd9fe0a9fd7a546987863b19fc7f88f942522c14a640e7c","target":"graph","created_at":"2026-05-18T02:16:31Z","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 examine the quantitative condition which has been widely used as a criterion for the adiabatic approximation but was recently found insufficient. Our results indicate that the usual quantitative condition is sufficient for a special class of quantum mechanical systems. For general systems, it may not be sufficient, but it along with additional conditions is sufficient. The usual quantitative condition and the additional conditions constitute a general criterion for the validity of the adiabatic approximation, which is applicable to all $N-$dimensional quantum systems. Moreover, we illustrat","authors_text":"C H Oh, D M Tong, K Singh, L C Kwek","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-04-10T03:57:09Z","title":"Sufficiency Criterion for the Validity of the Adiabatic Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.1184","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":"sha256:033144f95176ff83c6d99f59a326ee43176463b128efb953a256cae28954633e","target":"record","created_at":"2026-05-18T02:16:31Z","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":"5a54501759cafc53830751fdcc09fcd2529aa6ef55f038d467fd9e1274f6adce","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-04-10T03:57:09Z","title_canon_sha256":"6333776eb912199db17b1051fc87d5aaed6434304b97816fb9b083d546778333"},"schema_version":"1.0","source":{"id":"0704.1184","kind":"arxiv","version":1}},"canonical_sha256":"84370df87144dac8a008c66fe90e51e96fa935983b8b805f9a4fac697214c98a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84370df87144dac8a008c66fe90e51e96fa935983b8b805f9a4fac697214c98a","first_computed_at":"2026-05-18T02:16:31.944704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:31.944704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yNvu1kxVnJ3d44eHhWzeZ2Bn2K/6atUT7Nrk5rDWktNPTWOF4mBxznOuTFn22urx/TVxfFRnPNt1RJp+wBv6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:31.945170Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.1184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:033144f95176ff83c6d99f59a326ee43176463b128efb953a256cae28954633e","sha256:4985106c9bf79482fdd9fe0a9fd7a546987863b19fc7f88f942522c14a640e7c"],"state_sha256":"cd28b1d6d62fc1632ec2ba237b4e1c64dd83474a13ef3fd9c9503f49639cde99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2MaKxgspgWBMkTK7lSWHi8JlDGObRojANNEKLbGIj6+EfRto0Hb6hETMsDn5x8Q3XIPedszrxOwlS1jGrZfAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:55:06.601190Z","bundle_sha256":"50bfdc1a86f9fb6c14ce330b029d52b5970f7adc189c6693affbb26e247927a5"}}