{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:DKBXL63P2MYR4SMZ3SOCUKKVZV","short_pith_number":"pith:DKBXL63P","canonical_record":{"source":{"id":"2607.21728","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:24:51Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.QA"],"title_canon_sha256":"328dc1561e72c734888420c91980dce3de099c5874f212413c7c7c02cc554dad","abstract_canon_sha256":"987f37abfddd90912ef72d96ea292b6e661f0749de288bab18beec8ba8a70d62"},"schema_version":"1.0"},"canonical_sha256":"1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b","source":{"kind":"arxiv","id":"2607.21728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21728","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21728v1","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21728","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_12","alias_value":"DKBXL63P2MYR","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKBXL63P2MYR4SMZ","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKBXL63P","created_at":"2026-07-27T00:20:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:DKBXL63P2MYR4SMZ3SOCUKKVZV","target":"record","payload":{"canonical_record":{"source":{"id":"2607.21728","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:24:51Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.QA"],"title_canon_sha256":"328dc1561e72c734888420c91980dce3de099c5874f212413c7c7c02cc554dad","abstract_canon_sha256":"987f37abfddd90912ef72d96ea292b6e661f0749de288bab18beec8ba8a70d62"},"schema_version":"1.0"},"canonical_sha256":"1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-27T00:20:17.749968Z","signature_b64":"cryhgkwjP2FFN2OJvOGHJfK607IcDwqg/gNWkl2M88MFIXXLRMqRgIgmGY8vX7om8jgom3ZjNgYhXn8Ciyb1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b","last_reissued_at":"2026-07-27T00:20:17.749144Z","signature_status":"signed_v1","first_computed_at":"2026-07-27T00:20:17.749144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.21728","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":"2026-07-27T00:20:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bkX4XDGJ2Lxv1muFlcHYZUXZRd8cO1Tx6yp6nN0IW+PC5FXZ04bm20miO9FZDqTqMhwLc1gsurEs9XbUoHL+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T23:15:47.132870Z"},"content_sha256":"2dbb2cf4b7ded1bc7c7432e7f32724ea69d79a541694235d4d6698f5660159c9","schema_version":"1.0","event_id":"sha256:2dbb2cf4b7ded1bc7c7432e7f32724ea69d79a541694235d4d6698f5660159c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:DKBXL63P2MYR4SMZ3SOCUKKVZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.QA"],"primary_cat":"quant-ph","authors_text":"Carolyn Zhang, Po-Shen Hsin","submitted_at":"2026-07-23T18:24:51Z","abstract_excerpt":"Recent work has constructed higher-dimensional analogs of non-invertible symmetries similar to 1+1d Kramers-Wannier duality. Although their continuum descriptions often treat purely gravitational topological terms as inessential counterterms, these terms can have an essential lattice manifestation: they distinguish states prepared by finite-depth quantum circuits (FDQCs) from those entangled by nontrivial quantum cellular automata (QCAs). Motivated by this mismatch, we show that QCAs associated with gravitational topological responses arise in several related settings: (1) lattice realizations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21728","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.21728/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":"2026-07-27T00:20:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1LR105m91xxcSgr+k3HScJcNlz8PsX05n/zJrW6G9VXkpHgn945eFN5qnKm9uoa7lZcQOV4T9AZMHU6TBUZuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T23:15:47.133434Z"},"content_sha256":"04f4af69248fafd18e1fdcd8a689e92f22940c436bba9d41de94de02d069136d","schema_version":"1.0","event_id":"sha256:04f4af69248fafd18e1fdcd8a689e92f22940c436bba9d41de94de02d069136d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/bundle.json","state_url":"https://pith.science/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/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":"2026-08-01T23:15:47Z","links":{"resolver":"https://pith.science/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV","bundle":"https://pith.science/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/bundle.json","state":"https://pith.science/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKBXL63P2MYR4SMZ3SOCUKKVZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DKBXL63P2MYR4SMZ3SOCUKKVZV","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":"987f37abfddd90912ef72d96ea292b6e661f0749de288bab18beec8ba8a70d62","cross_cats_sorted":["cond-mat.str-el","hep-th","math.QA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:24:51Z","title_canon_sha256":"328dc1561e72c734888420c91980dce3de099c5874f212413c7c7c02cc554dad"},"schema_version":"1.0","source":{"id":"2607.21728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.21728","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"arxiv_version","alias_value":"2607.21728v1","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.21728","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_12","alias_value":"DKBXL63P2MYR","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKBXL63P2MYR4SMZ","created_at":"2026-07-27T00:20:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKBXL63P","created_at":"2026-07-27T00:20:17Z"}],"graph_snapshots":[{"event_id":"sha256:04f4af69248fafd18e1fdcd8a689e92f22940c436bba9d41de94de02d069136d","target":"graph","created_at":"2026-07-27T00:20:17Z","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/2607.21728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent work has constructed higher-dimensional analogs of non-invertible symmetries similar to 1+1d Kramers-Wannier duality. Although their continuum descriptions often treat purely gravitational topological terms as inessential counterterms, these terms can have an essential lattice manifestation: they distinguish states prepared by finite-depth quantum circuits (FDQCs) from those entangled by nontrivial quantum cellular automata (QCAs). Motivated by this mismatch, we show that QCAs associated with gravitational topological responses arise in several related settings: (1) lattice realizations","authors_text":"Carolyn Zhang, Po-Shen Hsin","cross_cats":["cond-mat.str-el","hep-th","math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:24:51Z","title":"Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.21728","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":"sha256:2dbb2cf4b7ded1bc7c7432e7f32724ea69d79a541694235d4d6698f5660159c9","target":"record","created_at":"2026-07-27T00:20:17Z","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":"987f37abfddd90912ef72d96ea292b6e661f0749de288bab18beec8ba8a70d62","cross_cats_sorted":["cond-mat.str-el","hep-th","math.QA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-23T18:24:51Z","title_canon_sha256":"328dc1561e72c734888420c91980dce3de099c5874f212413c7c7c02cc554dad"},"schema_version":"1.0","source":{"id":"2607.21728","kind":"arxiv","version":1}},"canonical_sha256":"1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b","first_computed_at":"2026-07-27T00:20:17.749144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-27T00:20:17.749144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cryhgkwjP2FFN2OJvOGHJfK607IcDwqg/gNWkl2M88MFIXXLRMqRgIgmGY8vX7om8jgom3ZjNgYhXn8Ciyb1AA==","signature_status":"signed_v1","signed_at":"2026-07-27T00:20:17.749968Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.21728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dbb2cf4b7ded1bc7c7432e7f32724ea69d79a541694235d4d6698f5660159c9","sha256:04f4af69248fafd18e1fdcd8a689e92f22940c436bba9d41de94de02d069136d"],"state_sha256":"4eb07628abe74db1a84dec9ca2b3fd3b6923b147dc50f23e2b7f495139f678e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yUHQdhxUxbeCtZixFXbFA83/nkRy/a3mFM8mbqiC8YUlwj7Xbwut823kXbxgBIz8IqkmRrdTe3zpDOfyoJQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T23:15:47.137117Z","bundle_sha256":"d957167defa91cd90b17e28f2bf0b5e0b74a358674ef05d910a27984e80a4f02"}}