{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:F2WPRLFZC7EVTUI36QK2LCC3UO","short_pith_number":"pith:F2WPRLFZ","canonical_record":{"source":{"id":"1505.07150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-26T22:27:00Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"bff826a6cefe0840ccd87913290b845bce2b23dbc07f79deed692deede8ed157","abstract_canon_sha256":"b6a55bbe6a9119a23ec04f23b4f04ce156beba62a9bf316d9081dc1716226349"},"schema_version":"1.0"},"canonical_sha256":"2eacf8acb917c959d11bf415a5885ba3b64932b50af24bc6dcf0df9fd4c16936","source":{"kind":"arxiv","id":"1505.07150","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07150","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07150v1","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07150","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"F2WPRLFZC7EV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"F2WPRLFZC7EVTUI3","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"F2WPRLFZ","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:F2WPRLFZC7EVTUI36QK2LCC3UO","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-26T22:27:00Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"bff826a6cefe0840ccd87913290b845bce2b23dbc07f79deed692deede8ed157","abstract_canon_sha256":"b6a55bbe6a9119a23ec04f23b4f04ce156beba62a9bf316d9081dc1716226349"},"schema_version":"1.0"},"canonical_sha256":"2eacf8acb917c959d11bf415a5885ba3b64932b50af24bc6dcf0df9fd4c16936","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:54.286383Z","signature_b64":"PGYSMQI6m/4yyjvXR6H+LyZrm7s0LLS0L5zDw7hE4Vy+URxb8202uQ3QKqc2Utc64YzVJYYeL2cy5/9rQIC2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eacf8acb917c959d11bf415a5885ba3b64932b50af24bc6dcf0df9fd4c16936","last_reissued_at":"2026-05-18T01:10:54.285692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:54.285692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07150","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":"2026-05-18T01:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uFZvgD/p8htq26Lb+6ycR+N2mx2JqnQ9ZRQstcg/qFUyoZl66QNk2d+dCVuPRfeBVKyLDSBEdjegqpmh3RE7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:24:51.518487Z"},"content_sha256":"ad2f078f09d7f39cc535e4e41f08ba8e3574fa047a655c0986c5f5b4b9339dd5","schema_version":"1.0","event_id":"sha256:ad2f078f09d7f39cc535e4e41f08ba8e3574fa047a655c0986c5f5b4b9339dd5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:F2WPRLFZC7EVTUI36QK2LCC3UO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On transport properties of isotropic quasiperiodic $XY$ spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Ilya Kachkovskiy","submitted_at":"2015-05-26T22:27:00Z","abstract_excerpt":"We consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their Lieb--Robinson velocities in terms of group velocities of their effective Hamiltonians: $\\mathfrak v\\ge\\mathrm{ess\\,sup}_{[0,1]} \\frac{2}{\\pi}\\frac{dE}{dN},$ where $E$ is considered as a function of the integrated density of states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07150","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":"2026-05-18T01:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8vRnntEDBsjFSOQYgVfPjftNsUuzrLKkY92wyqU/XXXXbBf40MbFnFbhHZcz1EOTBRg75AOAjMSNIUJrW0SSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:24:51.518828Z"},"content_sha256":"05a64fc813c80aaf6b6c54a90c992f35b731acba22616ad7c45e782a041a8276","schema_version":"1.0","event_id":"sha256:05a64fc813c80aaf6b6c54a90c992f35b731acba22616ad7c45e782a041a8276"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/bundle.json","state_url":"https://pith.science/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/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":"2026-07-04T20:24:51Z","links":{"resolver":"https://pith.science/pith/F2WPRLFZC7EVTUI36QK2LCC3UO","bundle":"https://pith.science/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/bundle.json","state":"https://pith.science/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F2WPRLFZC7EVTUI36QK2LCC3UO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:F2WPRLFZC7EVTUI36QK2LCC3UO","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":"b6a55bbe6a9119a23ec04f23b4f04ce156beba62a9bf316d9081dc1716226349","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-26T22:27:00Z","title_canon_sha256":"bff826a6cefe0840ccd87913290b845bce2b23dbc07f79deed692deede8ed157"},"schema_version":"1.0","source":{"id":"1505.07150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07150","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07150v1","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07150","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"F2WPRLFZC7EV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"F2WPRLFZC7EVTUI3","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"F2WPRLFZ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:05a64fc813c80aaf6b6c54a90c992f35b731acba22616ad7c45e782a041a8276","target":"graph","created_at":"2026-05-18T01:10:54Z","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 consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their Lieb--Robinson velocities in terms of group velocities of their effective Hamiltonians: $\\mathfrak v\\ge\\mathrm{ess\\,sup}_{[0,1]} \\frac{2}{\\pi}\\frac{dE}{dN},$ where $E$ is considered as a function of the integrated density of states.","authors_text":"Ilya Kachkovskiy","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-26T22:27:00Z","title":"On transport properties of isotropic quasiperiodic $XY$ spin chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07150","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:ad2f078f09d7f39cc535e4e41f08ba8e3574fa047a655c0986c5f5b4b9339dd5","target":"record","created_at":"2026-05-18T01:10:54Z","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":"b6a55bbe6a9119a23ec04f23b4f04ce156beba62a9bf316d9081dc1716226349","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-26T22:27:00Z","title_canon_sha256":"bff826a6cefe0840ccd87913290b845bce2b23dbc07f79deed692deede8ed157"},"schema_version":"1.0","source":{"id":"1505.07150","kind":"arxiv","version":1}},"canonical_sha256":"2eacf8acb917c959d11bf415a5885ba3b64932b50af24bc6dcf0df9fd4c16936","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2eacf8acb917c959d11bf415a5885ba3b64932b50af24bc6dcf0df9fd4c16936","first_computed_at":"2026-05-18T01:10:54.285692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:54.285692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PGYSMQI6m/4yyjvXR6H+LyZrm7s0LLS0L5zDw7hE4Vy+URxb8202uQ3QKqc2Utc64YzVJYYeL2cy5/9rQIC2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:54.286383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad2f078f09d7f39cc535e4e41f08ba8e3574fa047a655c0986c5f5b4b9339dd5","sha256:05a64fc813c80aaf6b6c54a90c992f35b731acba22616ad7c45e782a041a8276"],"state_sha256":"4aa445167a93e06c24ca96f0ed5fc465c1d8fb36c7b5aced8e763ff3e1e9df75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVpndd3WnIkINTQEJyBivoejqGqjqwUBbZ7ep5tXFat7EURcn49jH5BdTiAn3NDA8MWmgxXtVZvBtWQm7ehDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T20:24:51.520745Z","bundle_sha256":"a06ca56c1f4579e20a7b4210680f649167b6210a6cfb2f383f4753af2ed92fca"}}