{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FMHFSDOD2WSWX3ZBLWBVU4LHI2","short_pith_number":"pith:FMHFSDOD","canonical_record":{"source":{"id":"2112.07748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-14T21:21:46Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0d044e3bd55f860293a89a72716c8d31c7da21b91dda043fcb67ccda7636b28c","abstract_canon_sha256":"9004dbd632d5c35dad743a8fb41740ee38399f94e5868ebe3a52146ebb0d669c"},"schema_version":"1.0"},"canonical_sha256":"2b0e590dc3d5a56bef215d835a716746b3dab1524f2b9262f7fee045ceec1a6e","source":{"kind":"arxiv","id":"2112.07748","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07748","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07748v2","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07748","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_12","alias_value":"FMHFSDOD2WSW","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_16","alias_value":"FMHFSDOD2WSWX3ZB","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_8","alias_value":"FMHFSDOD","created_at":"2026-07-05T06:58:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FMHFSDOD2WSWX3ZBLWBVU4LHI2","target":"record","payload":{"canonical_record":{"source":{"id":"2112.07748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-14T21:21:46Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"0d044e3bd55f860293a89a72716c8d31c7da21b91dda043fcb67ccda7636b28c","abstract_canon_sha256":"9004dbd632d5c35dad743a8fb41740ee38399f94e5868ebe3a52146ebb0d669c"},"schema_version":"1.0"},"canonical_sha256":"2b0e590dc3d5a56bef215d835a716746b3dab1524f2b9262f7fee045ceec1a6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:58:04.122025Z","signature_b64":"6FaYKuyPDFNN9DqvWJ2pfWQJ7zpBl/QD4HW0qdkRK9tbX0nO71YeLsEvOk+XiMrNZe/sdcPASa7zTj/nipBtCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b0e590dc3d5a56bef215d835a716746b3dab1524f2b9262f7fee045ceec1a6e","last_reissued_at":"2026-07-05T06:58:04.121487Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:58:04.121487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.07748","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:58:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u4MzfUsXb3N/5vpiNAYvpENS9o+Lqm6dvY1imnhRV+xbqSJSIJAoja6GfKIKkmQIjYWM7u24/YpgI8B8A9CJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:04:58.823784Z"},"content_sha256":"19e2c3e657c0e873e36c9b7047f3b9cdc5b3d5c8babcc625554f58e16cca0e49","schema_version":"1.0","event_id":"sha256:19e2c3e657c0e873e36c9b7047f3b9cdc5b3d5c8babcc625554f58e16cca0e49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FMHFSDOD2WSWX3ZBLWBVU4LHI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flow of (higher) Berry curvature and bulk-boundary correspondence in parametrized quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Agn\\`es Beaudry, Ashvin Vishwanath, Daniel Spiegel, Juan Moreno, Markus J. Pflaum, Marvin Qi, Michael Hermele, Xueda Wen","submitted_at":"2021-12-14T21:21:46Z","abstract_excerpt":"This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter. In such systems, rather than considering a single Hamiltonian, one considers a family of Hamiltonians that depend continuously on some parameters. After discussing the notion of phases of parametrized systems, we formulate a bulk-boundary correspondence for an important bulk quantity, the Kapustin-Spodyneiko higher Berry curvature, first in one spatial dimension and then in arbitrary dimension. This clarifies the physic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07748","kind":"arxiv","version":2},"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/2112.07748/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":"2026-07-05T06:58:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OmKF0Cr+UMVhywE7eZqTfWkYxL2rxVnU5a6o98FlzW/c7Ce6a+wKZgAORsCMmnQG5hfFFWVDZwW5rLRckmWMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:04:58.824352Z"},"content_sha256":"786563e3a6959dbe2900a22d9ec25edf43dcce52b5f50b23f7fddf827e134961","schema_version":"1.0","event_id":"sha256:786563e3a6959dbe2900a22d9ec25edf43dcce52b5f50b23f7fddf827e134961"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/bundle.json","state_url":"https://pith.science/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/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":"2026-08-08T08:04:58Z","links":{"resolver":"https://pith.science/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2","bundle":"https://pith.science/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/bundle.json","state":"https://pith.science/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMHFSDOD2WSWX3ZBLWBVU4LHI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FMHFSDOD2WSWX3ZBLWBVU4LHI2","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":"9004dbd632d5c35dad743a8fb41740ee38399f94e5868ebe3a52146ebb0d669c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-14T21:21:46Z","title_canon_sha256":"0d044e3bd55f860293a89a72716c8d31c7da21b91dda043fcb67ccda7636b28c"},"schema_version":"1.0","source":{"id":"2112.07748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07748","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07748v2","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07748","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_12","alias_value":"FMHFSDOD2WSW","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_16","alias_value":"FMHFSDOD2WSWX3ZB","created_at":"2026-07-05T06:58:04Z"},{"alias_kind":"pith_short_8","alias_value":"FMHFSDOD","created_at":"2026-07-05T06:58:04Z"}],"graph_snapshots":[{"event_id":"sha256:786563e3a6959dbe2900a22d9ec25edf43dcce52b5f50b23f7fddf827e134961","target":"graph","created_at":"2026-07-05T06:58:04Z","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/2112.07748/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter. In such systems, rather than considering a single Hamiltonian, one considers a family of Hamiltonians that depend continuously on some parameters. After discussing the notion of phases of parametrized systems, we formulate a bulk-boundary correspondence for an important bulk quantity, the Kapustin-Spodyneiko higher Berry curvature, first in one spatial dimension and then in arbitrary dimension. This clarifies the physic","authors_text":"Agn\\`es Beaudry, Ashvin Vishwanath, Daniel Spiegel, Juan Moreno, Markus J. Pflaum, Marvin Qi, Michael Hermele, Xueda Wen","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-14T21:21:46Z","title":"Flow of (higher) Berry curvature and bulk-boundary correspondence in parametrized quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07748","kind":"arxiv","version":2},"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":"sha256:19e2c3e657c0e873e36c9b7047f3b9cdc5b3d5c8babcc625554f58e16cca0e49","target":"record","created_at":"2026-07-05T06:58:04Z","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":"9004dbd632d5c35dad743a8fb41740ee38399f94e5868ebe3a52146ebb0d669c","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-14T21:21:46Z","title_canon_sha256":"0d044e3bd55f860293a89a72716c8d31c7da21b91dda043fcb67ccda7636b28c"},"schema_version":"1.0","source":{"id":"2112.07748","kind":"arxiv","version":2}},"canonical_sha256":"2b0e590dc3d5a56bef215d835a716746b3dab1524f2b9262f7fee045ceec1a6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b0e590dc3d5a56bef215d835a716746b3dab1524f2b9262f7fee045ceec1a6e","first_computed_at":"2026-07-05T06:58:04.121487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:58:04.121487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6FaYKuyPDFNN9DqvWJ2pfWQJ7zpBl/QD4HW0qdkRK9tbX0nO71YeLsEvOk+XiMrNZe/sdcPASa7zTj/nipBtCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:58:04.122025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.07748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19e2c3e657c0e873e36c9b7047f3b9cdc5b3d5c8babcc625554f58e16cca0e49","sha256:786563e3a6959dbe2900a22d9ec25edf43dcce52b5f50b23f7fddf827e134961"],"state_sha256":"dd013c052fe51dccdfb214acad2ed9c4d0fb3a5a0ebf4f955812fa07ffc7d096"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6rc1cX+ib0h9c4XL9c2BqYHPNxe9fVI0+z+r/hTOTDQLhzjYfWdevelCR2j+zx5z60CCGBPbpjXQCLD33TlKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:04:58.828923Z","bundle_sha256":"98a9cd4215435d1d84b947e34eb4aa1f488c23f2cde394505eabdd74ce5ad099"}}