{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FCZIBDBZKNIGAJH2DYQOO3VEQ4","short_pith_number":"pith:FCZIBDBZ","canonical_record":{"source":{"id":"1506.07756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-25T14:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"a2b0f77b56c4877fab33bc934a4a1e7bba89e50734c5c45e45d2f6352ecf7e31","abstract_canon_sha256":"3f682060c8f6050ba804f664813a2eea80dc534703243c7227d96640073124f2"},"schema_version":"1.0"},"canonical_sha256":"28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5","source":{"kind":"arxiv","id":"1506.07756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07756","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07756v2","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07756","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"FCZIBDBZKNIG","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FCZIBDBZKNIGAJH2","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FCZIBDBZ","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FCZIBDBZKNIGAJH2DYQOO3VEQ4","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-25T14:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"a2b0f77b56c4877fab33bc934a4a1e7bba89e50734c5c45e45d2f6352ecf7e31","abstract_canon_sha256":"3f682060c8f6050ba804f664813a2eea80dc534703243c7227d96640073124f2"},"schema_version":"1.0"},"canonical_sha256":"28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:19.097706Z","signature_b64":"FAw9gmdruCtNUKmN1JKqFNT8TIIgPH3t7ygvWw0UsHBylUlwQgo5jvQAgcwb+UqUO/qsWMsrVq5tAfiVwPO8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5","last_reissued_at":"2026-05-18T01:18:19.096896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:19.096896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07756","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":"2026-05-18T01:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DEypIxxMhD4IOrl+3KCZdFx6eaYVAI/f4+KasLHxsJzuIDNFoeln2vdtpjIcyd+7OEgXQk11Yq00MBFHI8x5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:28:46.051737Z"},"content_sha256":"0c79290b3b36c82ac45e1c936854dd298243074a969be9c6df718f1f374548d9","schema_version":"1.0","event_id":"sha256:0c79290b3b36c82ac45e1c936854dd298243074a969be9c6df718f1f374548d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FCZIBDBZKNIGAJH2DYQOO3VEQ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General fixed points of quasi-local frustration-free quantum semigroups: from invariance to stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Francesco Ticozzi, Lorenza Viola, Peter D. Johnson","submitted_at":"2015-06-25T14:03:33Z","abstract_excerpt":"We investigate under which conditions a mixed state on a finite-dimensional multipartite quantum system may be the unique, globally stable fixed point of frustration-free semigroup dynamics subject to specified quasi-locality constraints. Our central result is a linear-algebraic necessary and sufficient condition for a generic (full-rank) target state to be frustration-free quasi-locally stabilizable, along with an explicit procedure for constructing Markovian dynamics that achieve stabilization. If the target state is not full-rank, we establish sufficiency under an additional condition, whic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07756","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":""},"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":"2026-05-18T01:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/3kUbfvc80ZH4+U2WTkFt8INEWF6YQFcmp2QrBhGkbzDdDGwbHoF+00w0qdoIQTFVtT1Zfe+2AQMFJE4e0hAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:28:46.052431Z"},"content_sha256":"c4a3b78fac853bd7409432904dd21a280ecfc07d338c0499ec1af30274e44a57","schema_version":"1.0","event_id":"sha256:c4a3b78fac853bd7409432904dd21a280ecfc07d338c0499ec1af30274e44a57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/bundle.json","state_url":"https://pith.science/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/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":"2026-05-25T18:28:46Z","links":{"resolver":"https://pith.science/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4","bundle":"https://pith.science/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/bundle.json","state":"https://pith.science/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCZIBDBZKNIGAJH2DYQOO3VEQ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FCZIBDBZKNIGAJH2DYQOO3VEQ4","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":"3f682060c8f6050ba804f664813a2eea80dc534703243c7227d96640073124f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-25T14:03:33Z","title_canon_sha256":"a2b0f77b56c4877fab33bc934a4a1e7bba89e50734c5c45e45d2f6352ecf7e31"},"schema_version":"1.0","source":{"id":"1506.07756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07756","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07756v2","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07756","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"FCZIBDBZKNIG","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FCZIBDBZKNIGAJH2","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FCZIBDBZ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:c4a3b78fac853bd7409432904dd21a280ecfc07d338c0499ec1af30274e44a57","target":"graph","created_at":"2026-05-18T01:18:19Z","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 investigate under which conditions a mixed state on a finite-dimensional multipartite quantum system may be the unique, globally stable fixed point of frustration-free semigroup dynamics subject to specified quasi-locality constraints. Our central result is a linear-algebraic necessary and sufficient condition for a generic (full-rank) target state to be frustration-free quasi-locally stabilizable, along with an explicit procedure for constructing Markovian dynamics that achieve stabilization. If the target state is not full-rank, we establish sufficiency under an additional condition, whic","authors_text":"Francesco Ticozzi, Lorenza Viola, Peter D. Johnson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-25T14:03:33Z","title":"General fixed points of quasi-local frustration-free quantum semigroups: from invariance to stabilization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07756","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":"sha256:0c79290b3b36c82ac45e1c936854dd298243074a969be9c6df718f1f374548d9","target":"record","created_at":"2026-05-18T01:18:19Z","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":"3f682060c8f6050ba804f664813a2eea80dc534703243c7227d96640073124f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-25T14:03:33Z","title_canon_sha256":"a2b0f77b56c4877fab33bc934a4a1e7bba89e50734c5c45e45d2f6352ecf7e31"},"schema_version":"1.0","source":{"id":"1506.07756","kind":"arxiv","version":2}},"canonical_sha256":"28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28b2808c3953506024fa1e20e76ea4873a1b95ac2bb09dfe40479cd2e8a8a1d5","first_computed_at":"2026-05-18T01:18:19.096896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:19.096896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FAw9gmdruCtNUKmN1JKqFNT8TIIgPH3t7ygvWw0UsHBylUlwQgo5jvQAgcwb+UqUO/qsWMsrVq5tAfiVwPO8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:19.097706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c79290b3b36c82ac45e1c936854dd298243074a969be9c6df718f1f374548d9","sha256:c4a3b78fac853bd7409432904dd21a280ecfc07d338c0499ec1af30274e44a57"],"state_sha256":"2539f4d0e9a677c5c6ba63da77457a6de14eb3fd1890c442dd277d7a8f641622"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9/PbJ0zk/Xw0Ga9oBh3Jb31DorzKdwwoOzRGLwVE5Pw+NE1nbxaQm+5EuKhZ9YfQAcx11qbc/JTCk4YjPUaBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:28:46.055932Z","bundle_sha256":"d593b8037c332f5511656703abb16d04d041f5f47df48cbd7f1d382653d9188a"}}