{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5JLMLRHACMJZXZNRINTJZATNUJ","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":"a1ce166db5d309b36b12e8dc5d0339237a97802e302d6e86c082079288d6061c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-08-02T14:09:09Z","title_canon_sha256":"6929e7661fe2bab0aaeb89d6a9a2d739fb6a50dd48355c10a387b060116bee85"},"schema_version":"1.0","source":{"id":"2408.01282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.01282","created_at":"2026-07-05T08:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"2408.01282v1","created_at":"2026-07-05T08:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.01282","created_at":"2026-07-05T08:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"5JLMLRHACMJZ","created_at":"2026-07-05T08:51:29Z"},{"alias_kind":"pith_short_16","alias_value":"5JLMLRHACMJZXZNR","created_at":"2026-07-05T08:51:29Z"},{"alias_kind":"pith_short_8","alias_value":"5JLMLRHA","created_at":"2026-07-05T08:51:29Z"}],"graph_snapshots":[{"event_id":"sha256:3d2cbac461c31fc7b3e585747499d98803d5ff2c7002d7c0029e5350a7841b4c","target":"graph","created_at":"2026-07-05T08:51:29Z","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/2408.01282/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conventionally, pumping relies on energetic resonance: energy quanta ${\\hbar}{\\omega}$ matches the gap $\\Delta$. Under linear approximation, this is known as the Fermi golden rule (FGR). However, this principle becomes challenging to apply in the \"0/0\" limit, where ${\\omega},{\\Delta}{\\rightarrow}0$ simultaneously. In \"0/0\" scenarios, such as topological phase transition (TPT), a type-II pumping, geometric pumping (GP), is recognized subject to geometric rules, distinguished from type-I dictated by FGR. Type-I features an \"arrow of energy\", sending particles higher in energy, reflected by FGR's","authors_text":"B. Q. Song, J. D. H. Smith, J. Wang, Y. X. Yao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-08-02T14:09:09Z","title":"Type-II pumping beyond resonance principle: From energetic to geometric rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.01282","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":"sha256:045319e4641fa6eb1554bbaf948496c834339235cced7156bff5d05b808c1751","target":"record","created_at":"2026-07-05T08:51:29Z","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":"a1ce166db5d309b36b12e8dc5d0339237a97802e302d6e86c082079288d6061c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-08-02T14:09:09Z","title_canon_sha256":"6929e7661fe2bab0aaeb89d6a9a2d739fb6a50dd48355c10a387b060116bee85"},"schema_version":"1.0","source":{"id":"2408.01282","kind":"arxiv","version":1}},"canonical_sha256":"ea56c5c4e013139be5b143669c826da275ccc9b9739e454b20e50a3822c58f87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea56c5c4e013139be5b143669c826da275ccc9b9739e454b20e50a3822c58f87","first_computed_at":"2026-07-05T08:51:29.510401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:29.510401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GrthkA57AlOtrPJnx5lpOq2m6DNpssGEb+WB2U4PX/qTpEL2E050ON/hYH4AZMH47Hkb3dTgFT6CMMLkN7ZjAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:29.510823Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.01282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:045319e4641fa6eb1554bbaf948496c834339235cced7156bff5d05b808c1751","sha256:3d2cbac461c31fc7b3e585747499d98803d5ff2c7002d7c0029e5350a7841b4c"],"state_sha256":"b223d055cd97dd99d3af2dd3c93f529a0ae265d7e3963099770834819bbefab9"}