{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KNTXP2ILABZF6Y2A7LJ2X5KYPN","short_pith_number":"pith:KNTXP2IL","canonical_record":{"source":{"id":"2605.21327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"title_canon_sha256":"1f8ff3af653718b609bbc9c5a8b6844b9acb83d749d15f4c9e0f1934744022c6","abstract_canon_sha256":"73beb59a842cb1176403724b00b1059253c7727e9a7149226e082661740a70aa"},"schema_version":"1.0"},"canonical_sha256":"536777e90b00725f6340fad3abf5587b4c2e55f10a1bc66a930904eb7cc2e9f8","source":{"kind":"arxiv","id":"2605.21327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21327","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21327v1","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21327","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"KNTXP2ILABZF","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_16","alias_value":"KNTXP2ILABZF6Y2A","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_8","alias_value":"KNTXP2IL","created_at":"2026-05-21T02:05:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KNTXP2ILABZF6Y2A7LJ2X5KYPN","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14Z","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"title_canon_sha256":"1f8ff3af653718b609bbc9c5a8b6844b9acb83d749d15f4c9e0f1934744022c6","abstract_canon_sha256":"73beb59a842cb1176403724b00b1059253c7727e9a7149226e082661740a70aa"},"schema_version":"1.0"},"canonical_sha256":"536777e90b00725f6340fad3abf5587b4c2e55f10a1bc66a930904eb7cc2e9f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:29.307139Z","signature_b64":"cSuhczP8VilfWfz3P+GXcu0PDVvfZtwJD5dBvmquLI6o4KdOGGof4LZpe04UWmOzVRFj4Fok7frnXoPjfgTqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"536777e90b00725f6340fad3abf5587b4c2e55f10a1bc66a930904eb7cc2e9f8","last_reissued_at":"2026-05-21T02:05:29.306645Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:29.306645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21327","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":"2026-05-21T02:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DxQKhKVmD4+zqOL2FodG9Qk2Fqu1n40i82+KzNaEaHFzhKRjo6RWRlzuPpMQbMtzyh0EoPnRqpCTn2NPI5PBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:24:14.893548Z"},"content_sha256":"5da4030901d2cad617c9f5872af340269e23f5d8e04ec962bf9ac59b9cd9d986","schema_version":"1.0","event_id":"sha256:5da4030901d2cad617c9f5872af340269e23f5d8e04ec962bf9ac59b9cd9d986"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KNTXP2ILABZF6Y2A7LJ2X5KYPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"primary_cat":"math-ph","authors_text":"Corey Jones, Ian Bunner","submitted_at":"2026-05-20T15:53:14Z","abstract_excerpt":"We show that anyon chains, after stabilizing with infinite-dimensional ancilla spaces, factorize locally as tensor products of infinite-dimensional Hilbert spaces. This implies that any unitary fusion category can be realized as symmetries on a tensor product of infinite-dimensional Hilbert spaces. We then show that any two anyon chains with the same symmetry category are related by a symmetry-compatible locality-preserving unitary after stabilizing with infinite-dimensional ancilla, showing that for a fixed fusion category, there is a single stable equivalence class of symmetry realizations o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21327","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/2605.21327/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":"2026-05-21T02:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/3hOZVr5WQQAilOtWskTbPScHz9waAXQvyHwXjmJY/NG4ABEYMIkmQjfuT8JLB8nrfkPFx4Pfb9daPJ/hhuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:24:14.894353Z"},"content_sha256":"3be727d896ae114252ab734adeddc4cdb5297528e3c68734e41d1832cfd140b5","schema_version":"1.0","event_id":"sha256:3be727d896ae114252ab734adeddc4cdb5297528e3c68734e41d1832cfd140b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/bundle.json","state_url":"https://pith.science/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/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":"2026-05-25T19:24:14Z","links":{"resolver":"https://pith.science/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN","bundle":"https://pith.science/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/bundle.json","state":"https://pith.science/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KNTXP2ILABZF6Y2A7LJ2X5KYPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KNTXP2ILABZF6Y2A7LJ2X5KYPN","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":"73beb59a842cb1176403724b00b1059253c7727e9a7149226e082661740a70aa","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14Z","title_canon_sha256":"1f8ff3af653718b609bbc9c5a8b6844b9acb83d749d15f4c9e0f1934744022c6"},"schema_version":"1.0","source":{"id":"2605.21327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21327","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21327v1","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21327","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"KNTXP2ILABZF","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_16","alias_value":"KNTXP2ILABZF6Y2A","created_at":"2026-05-21T02:05:29Z"},{"alias_kind":"pith_short_8","alias_value":"KNTXP2IL","created_at":"2026-05-21T02:05:29Z"}],"graph_snapshots":[{"event_id":"sha256:3be727d896ae114252ab734adeddc4cdb5297528e3c68734e41d1832cfd140b5","target":"graph","created_at":"2026-05-21T02:05:29Z","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/2605.21327/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that anyon chains, after stabilizing with infinite-dimensional ancilla spaces, factorize locally as tensor products of infinite-dimensional Hilbert spaces. This implies that any unitary fusion category can be realized as symmetries on a tensor product of infinite-dimensional Hilbert spaces. We then show that any two anyon chains with the same symmetry category are related by a symmetry-compatible locality-preserving unitary after stabilizing with infinite-dimensional ancilla, showing that for a fixed fusion category, there is a single stable equivalence class of symmetry realizations o","authors_text":"Corey Jones, Ian Bunner","cross_cats":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14Z","title":"Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21327","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":"sha256:5da4030901d2cad617c9f5872af340269e23f5d8e04ec962bf9ac59b9cd9d986","target":"record","created_at":"2026-05-21T02:05:29Z","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":"73beb59a842cb1176403724b00b1059253c7727e9a7149226e082661740a70aa","cross_cats_sorted":["cond-mat.str-el","hep-th","math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-20T15:53:14Z","title_canon_sha256":"1f8ff3af653718b609bbc9c5a8b6844b9acb83d749d15f4c9e0f1934744022c6"},"schema_version":"1.0","source":{"id":"2605.21327","kind":"arxiv","version":1}},"canonical_sha256":"536777e90b00725f6340fad3abf5587b4c2e55f10a1bc66a930904eb7cc2e9f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"536777e90b00725f6340fad3abf5587b4c2e55f10a1bc66a930904eb7cc2e9f8","first_computed_at":"2026-05-21T02:05:29.306645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:29.306645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cSuhczP8VilfWfz3P+GXcu0PDVvfZtwJD5dBvmquLI6o4KdOGGof4LZpe04UWmOzVRFj4Fok7frnXoPjfgTqBw==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:29.307139Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5da4030901d2cad617c9f5872af340269e23f5d8e04ec962bf9ac59b9cd9d986","sha256:3be727d896ae114252ab734adeddc4cdb5297528e3c68734e41d1832cfd140b5"],"state_sha256":"78782df7e814dc19d6a1bcefbfe78bbff4c0e0c4f890bd65e97540ebd6e882a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3xel6Rn/Z3R68ZMtYmXsKThorKZmk4d1xUVfI7Kp95+oGm0QR9qMiz5zSJe7nlnM9S0QdK5NKrzwmFQPEQ2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:24:14.898546Z","bundle_sha256":"9154d74a573795fede0cf1514863a31425c8b1c43b754f985adf732288edb3e8"}}