{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TZIQJZRLCXRNM7QYQXNXQEQUIQ","short_pith_number":"pith:TZIQJZRL","canonical_record":{"source":{"id":"1801.07620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-23T15:39:08Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"4caec01ac5f98f21e068c9c6ad619c0189a1987c9ecc5c36bc38d8566f5c2c3f","abstract_canon_sha256":"71df9b95ba3744268c0775adc1e732376f1d13ad622301a086d87afae85086b8"},"schema_version":"1.0"},"canonical_sha256":"9e5104e62b15e2d67e1885db7812144409693adc20e6775f333385f0625e5104","source":{"kind":"arxiv","id":"1801.07620","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07620","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07620v1","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07620","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"TZIQJZRLCXRN","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_16","alias_value":"TZIQJZRLCXRNM7QY","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_8","alias_value":"TZIQJZRL","created_at":"2026-07-05T05:07:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TZIQJZRLCXRNM7QYQXNXQEQUIQ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.07620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-23T15:39:08Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"4caec01ac5f98f21e068c9c6ad619c0189a1987c9ecc5c36bc38d8566f5c2c3f","abstract_canon_sha256":"71df9b95ba3744268c0775adc1e732376f1d13ad622301a086d87afae85086b8"},"schema_version":"1.0"},"canonical_sha256":"9e5104e62b15e2d67e1885db7812144409693adc20e6775f333385f0625e5104","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:30.637328Z","signature_b64":"4DJInzqgq2FEhO/hDxrsiBmf4+xVmrAFbfb7bbI5UovUyIEwFYGWaAv4qrBicKCwmWfI+cI7k//4JN+VSVikBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e5104e62b15e2d67e1885db7812144409693adc20e6775f333385f0625e5104","last_reissued_at":"2026-07-05T05:07:30.636870Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:30.636870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.07620","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":"2026-07-05T05:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+o4ZA+HBhRRPbl9MMaR648gQPtGnVxHav+ZtHJHr9R7KP9zo1KoULvuv6xtkoL4+0q/mRJVsgg9grC+0uwJCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:55:33.438758Z"},"content_sha256":"6dfe98287843efe470352885a07d597c667a77f1ccc0cf087082b112dca30a76","schema_version":"1.0","event_id":"sha256:6dfe98287843efe470352885a07d597c667a77f1ccc0cf087082b112dca30a76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TZIQJZRLCXRNM7QYQXNXQEQUIQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Circuit Complexity in Fermionic Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Chethan Krishnan, Rifath Khan, Sanchita Sharma","submitted_at":"2018-01-23T15:39:08Z","abstract_excerpt":"We define and calculate versions of complexity for free fermionic quantum field theories in 1+1 and 3+1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits. We do this both by discretizing and identifying appropriate classes of Bogoliubov-Valatin transformations, and also directly in the continuum by defining squeezing operators and their generalizations. As a closely related problem, we consider cMERA tensor networks for fermions: viewing them as paths in circuit space, we compute their path lengths. Certain ambiguities that arise in some of these results because of c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07620","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/1801.07620/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":"2026-07-05T05:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hrTGBlEKRMgKQtyTE4deOZUZ4NNC8ZzTeE/jnLlg9sOXD2uFYUOR4D0B0rcRCqOAVeeZPcQwWp7YKCiXvrxgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:55:33.439273Z"},"content_sha256":"d298ec363bacd68d90bb9c3276ed8b5fce3fa3a338bfceebe2a41806375bbd12","schema_version":"1.0","event_id":"sha256:d298ec363bacd68d90bb9c3276ed8b5fce3fa3a338bfceebe2a41806375bbd12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/bundle.json","state_url":"https://pith.science/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/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":"2026-08-17T08:55:33Z","links":{"resolver":"https://pith.science/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ","bundle":"https://pith.science/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/bundle.json","state":"https://pith.science/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZIQJZRLCXRNM7QYQXNXQEQUIQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TZIQJZRLCXRNM7QYQXNXQEQUIQ","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":"71df9b95ba3744268c0775adc1e732376f1d13ad622301a086d87afae85086b8","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-23T15:39:08Z","title_canon_sha256":"4caec01ac5f98f21e068c9c6ad619c0189a1987c9ecc5c36bc38d8566f5c2c3f"},"schema_version":"1.0","source":{"id":"1801.07620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07620","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07620v1","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07620","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"TZIQJZRLCXRN","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_16","alias_value":"TZIQJZRLCXRNM7QY","created_at":"2026-07-05T05:07:30Z"},{"alias_kind":"pith_short_8","alias_value":"TZIQJZRL","created_at":"2026-07-05T05:07:30Z"}],"graph_snapshots":[{"event_id":"sha256:d298ec363bacd68d90bb9c3276ed8b5fce3fa3a338bfceebe2a41806375bbd12","target":"graph","created_at":"2026-07-05T05:07:30Z","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/1801.07620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define and calculate versions of complexity for free fermionic quantum field theories in 1+1 and 3+1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits. We do this both by discretizing and identifying appropriate classes of Bogoliubov-Valatin transformations, and also directly in the continuum by defining squeezing operators and their generalizations. As a closely related problem, we consider cMERA tensor networks for fermions: viewing them as paths in circuit space, we compute their path lengths. Certain ambiguities that arise in some of these results because of c","authors_text":"Chethan Krishnan, Rifath Khan, Sanchita Sharma","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-23T15:39:08Z","title":"Circuit Complexity in Fermionic Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07620","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":"sha256:6dfe98287843efe470352885a07d597c667a77f1ccc0cf087082b112dca30a76","target":"record","created_at":"2026-07-05T05:07:30Z","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":"71df9b95ba3744268c0775adc1e732376f1d13ad622301a086d87afae85086b8","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-23T15:39:08Z","title_canon_sha256":"4caec01ac5f98f21e068c9c6ad619c0189a1987c9ecc5c36bc38d8566f5c2c3f"},"schema_version":"1.0","source":{"id":"1801.07620","kind":"arxiv","version":1}},"canonical_sha256":"9e5104e62b15e2d67e1885db7812144409693adc20e6775f333385f0625e5104","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e5104e62b15e2d67e1885db7812144409693adc20e6775f333385f0625e5104","first_computed_at":"2026-07-05T05:07:30.636870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:30.636870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4DJInzqgq2FEhO/hDxrsiBmf4+xVmrAFbfb7bbI5UovUyIEwFYGWaAv4qrBicKCwmWfI+cI7k//4JN+VSVikBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:30.637328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dfe98287843efe470352885a07d597c667a77f1ccc0cf087082b112dca30a76","sha256:d298ec363bacd68d90bb9c3276ed8b5fce3fa3a338bfceebe2a41806375bbd12"],"state_sha256":"75437f566f17c86d4bcfe4130a358a25d48c889b3ba2b736380ff9026b8fc123"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJuOZYMKHvF9rFf8scEyuNXJLmvH01j3eMYC6kxEjhdHwatzKpGLwV0U8TgXwtPU5uBxR6HfhAySjDW3jdB6Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T08:55:33.444771Z","bundle_sha256":"1157004b70abba32d682321a5fa4e313dae139090f17a7bb3d88a9708002d8d2"}}