{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:I5H7XQW7NCHNS6A3LUZJBMLCYJ","short_pith_number":"pith:I5H7XQW7","canonical_record":{"source":{"id":"1404.4280","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-16T15:12:01Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"1f40c415beffc583ee2404f82517213784667eb055947be53ab6b6b2d04052fb","abstract_canon_sha256":"3a90947bec49aa6e1ff5d37fa1ee07bd0d72960ab30388e3beca2614da85ce78"},"schema_version":"1.0"},"canonical_sha256":"474ffbc2df688ed9781b5d3290b162c245b0da0a6d816f8ab314f86108b28937","source":{"kind":"arxiv","id":"1404.4280","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4280","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4280v5","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4280","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"I5H7XQW7NCHN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I5H7XQW7NCHNS6A3","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I5H7XQW7","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:I5H7XQW7NCHNS6A3LUZJBMLCYJ","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4280","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-16T15:12:01Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"1f40c415beffc583ee2404f82517213784667eb055947be53ab6b6b2d04052fb","abstract_canon_sha256":"3a90947bec49aa6e1ff5d37fa1ee07bd0d72960ab30388e3beca2614da85ce78"},"schema_version":"1.0"},"canonical_sha256":"474ffbc2df688ed9781b5d3290b162c245b0da0a6d816f8ab314f86108b28937","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:19.101981Z","signature_b64":"g4gej9TWmpOeso2lM1STqAJjfbTBtPbDARrCeFxrch8Jnk6O2w6cBYu+FODEHExK8OmvjJpnj7KfQoJNm9HCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"474ffbc2df688ed9781b5d3290b162c245b0da0a6d816f8ab314f86108b28937","last_reissued_at":"2026-05-18T01:32:19.101157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:19.101157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4280","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pREDWj28ZVsBwSN0dQLmPJTi3EvjEZWuLAdDV1VYl7mbFhEWzcZV4/n2snikClLfJF+P/Okar6eHv9gPuk1cDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:28:05.756578Z"},"content_sha256":"a2e078b546da77623d84c832421cc3d02fe68365bbdd93dcc59b2efc107fdca3","schema_version":"1.0","event_id":"sha256:a2e078b546da77623d84c832421cc3d02fe68365bbdd93dcc59b2efc107fdca3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:I5H7XQW7NCHNS6A3LUZJBMLCYJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonsmooth and level-resolved dynamics illustrated with the tight binding model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"J. M. Zhang, Masudul Haque","submitted_at":"2014-04-16T15:12:01Z","abstract_excerpt":"We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact locations of the eigenvalues in the continuum spectrum, in contrast to coarse-graining ideas. Underlying this nonsmooth and level-resolved dynamics is a simple equality about the sinc function $\\sinc x \\equiv \\sin x / x$. These physical effects appear in many systems with approximately equally spaced spectra, and is also robust for larger-amplitude coupling beyond t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4280","kind":"arxiv","version":5},"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":"2026-05-18T01:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIjTPGZOryX5lqAyjZYXvQNhlnPzrtgAeaLN2oFfTwoGMC2deb7v4571UU/vXXHNEs/+FEjROoQcXv/Hn7QtAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:28:05.756965Z"},"content_sha256":"c58fd83695884eadc9c8537426bd68a7e6e06323d63624a07c56e7e397cca0de","schema_version":"1.0","event_id":"sha256:c58fd83695884eadc9c8537426bd68a7e6e06323d63624a07c56e7e397cca0de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/bundle.json","state_url":"https://pith.science/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/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":"2026-06-20T23:28:05Z","links":{"resolver":"https://pith.science/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ","bundle":"https://pith.science/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/bundle.json","state":"https://pith.science/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I5H7XQW7NCHNS6A3LUZJBMLCYJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:I5H7XQW7NCHNS6A3LUZJBMLCYJ","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":"3a90947bec49aa6e1ff5d37fa1ee07bd0d72960ab30388e3beca2614da85ce78","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-16T15:12:01Z","title_canon_sha256":"1f40c415beffc583ee2404f82517213784667eb055947be53ab6b6b2d04052fb"},"schema_version":"1.0","source":{"id":"1404.4280","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4280","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4280v5","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4280","created_at":"2026-05-18T01:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"I5H7XQW7NCHN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I5H7XQW7NCHNS6A3","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I5H7XQW7","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:c58fd83695884eadc9c8537426bd68a7e6e06323d63624a07c56e7e397cca0de","target":"graph","created_at":"2026-05-18T01:32:19Z","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 point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact locations of the eigenvalues in the continuum spectrum, in contrast to coarse-graining ideas. Underlying this nonsmooth and level-resolved dynamics is a simple equality about the sinc function $\\sinc x \\equiv \\sin x / x$. These physical effects appear in many systems with approximately equally spaced spectra, and is also robust for larger-amplitude coupling beyond t","authors_text":"J. M. Zhang, Masudul Haque","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-16T15:12:01Z","title":"Nonsmooth and level-resolved dynamics illustrated with the tight binding model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4280","kind":"arxiv","version":5},"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:a2e078b546da77623d84c832421cc3d02fe68365bbdd93dcc59b2efc107fdca3","target":"record","created_at":"2026-05-18T01:32:19Z","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":"3a90947bec49aa6e1ff5d37fa1ee07bd0d72960ab30388e3beca2614da85ce78","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-04-16T15:12:01Z","title_canon_sha256":"1f40c415beffc583ee2404f82517213784667eb055947be53ab6b6b2d04052fb"},"schema_version":"1.0","source":{"id":"1404.4280","kind":"arxiv","version":5}},"canonical_sha256":"474ffbc2df688ed9781b5d3290b162c245b0da0a6d816f8ab314f86108b28937","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"474ffbc2df688ed9781b5d3290b162c245b0da0a6d816f8ab314f86108b28937","first_computed_at":"2026-05-18T01:32:19.101157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:19.101157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g4gej9TWmpOeso2lM1STqAJjfbTBtPbDARrCeFxrch8Jnk6O2w6cBYu+FODEHExK8OmvjJpnj7KfQoJNm9HCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:19.101981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4280","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2e078b546da77623d84c832421cc3d02fe68365bbdd93dcc59b2efc107fdca3","sha256:c58fd83695884eadc9c8537426bd68a7e6e06323d63624a07c56e7e397cca0de"],"state_sha256":"4d74184bcb05812ca2e7e9934af485064ca70e89875454663f1d654f583e5626"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZYpN9O5THbGMJF/3WxCzTZ/SiSyZxfFH7LGyx6PFRp4BZbXsqZQ/wG3NJA6Il09AfyA4NqvxYLh5zWXrd+dQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:28:05.758924Z","bundle_sha256":"296605d6afd3ba3a58d617ba857d4c9405cba5a6a5db1255975b5b8c0e899920"}}