{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:5TYICPZQCNYQY3K4QGTUUE2SRN","short_pith_number":"pith:5TYICPZQ","canonical_record":{"source":{"id":"2012.07857","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-14T19:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"title_canon_sha256":"1727b93b85ee36bf5b7eda5b3f32db66de6f3d5288eb5a10f11c15e56d74ae4e","abstract_canon_sha256":"a43238e11afbbbda9be12bbd10584f713161409f6ce9974fc278bf938d67918f"},"schema_version":"1.0"},"canonical_sha256":"ecf0813f3013710c6d5c81a74a13528b52a9579e563cbcc9e065a7cab279d678","source":{"kind":"arxiv","id":"2012.07857","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.07857","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"2012.07857v2","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.07857","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"5TYICPZQCNYQ","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_16","alias_value":"5TYICPZQCNYQY3K4","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_8","alias_value":"5TYICPZQ","created_at":"2026-07-05T03:29:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:5TYICPZQCNYQY3K4QGTUUE2SRN","target":"record","payload":{"canonical_record":{"source":{"id":"2012.07857","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-14T19:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"title_canon_sha256":"1727b93b85ee36bf5b7eda5b3f32db66de6f3d5288eb5a10f11c15e56d74ae4e","abstract_canon_sha256":"a43238e11afbbbda9be12bbd10584f713161409f6ce9974fc278bf938d67918f"},"schema_version":"1.0"},"canonical_sha256":"ecf0813f3013710c6d5c81a74a13528b52a9579e563cbcc9e065a7cab279d678","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:29:46.870782Z","signature_b64":"Ea7CK2nRsmKKjOT/k/aw708dTPPcCJaAZeUy4XTlPflzvvxy7lBcuEIs92q08qc+RtPZmDRGIVdTXy9rI624BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecf0813f3013710c6d5c81a74a13528b52a9579e563cbcc9e065a7cab279d678","last_reissued_at":"2026-07-05T03:29:46.870357Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:29:46.870357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.07857","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":"2026-07-05T03:29:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"buFmBjWPEZFRYuSRY9WrI5aVo2VNfX2ryolvfEH3likdMInRz1feF+/5bYCoHz8NPTbHOXFzFlg3flrUem9HCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:51:30.538667Z"},"content_sha256":"3cd9afe498f08de71b9c321318fae2155bf099bcef45d727bcfa5640cc57a1f2","schema_version":"1.0","event_id":"sha256:3cd9afe498f08de71b9c321318fae2155bf099bcef45d727bcfa5640cc57a1f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:5TYICPZQCNYQY3K4QGTUUE2SRN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Free fermions behind the disguise","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Adrian Chapman, Samuel J. Elman, Steven T. Flammia","submitted_at":"2020-12-14T19:00:01Z","abstract_excerpt":"An invaluable method for probing the physics of a quantum many-body spin system is a mapping to noninteracting effective fermions. We find such mappings using only the frustration graph $G$ of a Hamiltonian $H$, i.e., the network of anticommutation relations between the Pauli terms in $H$ in a given basis. Specifically, when $G$ is (even-hole, claw)-free, we construct an explicit free-fermion solution for $H$ using only this structure of $G$, even when no Jordan-Wigner transformation exists. The solution method is generic in that it applies for any values of the couplings. This mapping general"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.07857","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/2012.07857/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":"2026-07-05T03:29:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tPVbxmAzsrQC2fKRF2oOqmxmTnF48GCqfeZoFX7wNrXT3Mk8R5WwgTv0NYSArcDr10sep1cUm6FMYPXEsZbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T01:51:30.539164Z"},"content_sha256":"bc4c6fbc9f3189cadfc3d693ee958922fdf51790c08f5ba6795625f39219e8f3","schema_version":"1.0","event_id":"sha256:bc4c6fbc9f3189cadfc3d693ee958922fdf51790c08f5ba6795625f39219e8f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/bundle.json","state_url":"https://pith.science/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/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":"2026-08-10T01:51:30Z","links":{"resolver":"https://pith.science/pith/5TYICPZQCNYQY3K4QGTUUE2SRN","bundle":"https://pith.science/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/bundle.json","state":"https://pith.science/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TYICPZQCNYQY3K4QGTUUE2SRN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:5TYICPZQCNYQY3K4QGTUUE2SRN","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":"a43238e11afbbbda9be12bbd10584f713161409f6ce9974fc278bf938d67918f","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-14T19:00:01Z","title_canon_sha256":"1727b93b85ee36bf5b7eda5b3f32db66de6f3d5288eb5a10f11c15e56d74ae4e"},"schema_version":"1.0","source":{"id":"2012.07857","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.07857","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"2012.07857v2","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.07857","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"5TYICPZQCNYQ","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_16","alias_value":"5TYICPZQCNYQY3K4","created_at":"2026-07-05T03:29:46Z"},{"alias_kind":"pith_short_8","alias_value":"5TYICPZQ","created_at":"2026-07-05T03:29:46Z"}],"graph_snapshots":[{"event_id":"sha256:bc4c6fbc9f3189cadfc3d693ee958922fdf51790c08f5ba6795625f39219e8f3","target":"graph","created_at":"2026-07-05T03:29:46Z","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/2012.07857/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An invaluable method for probing the physics of a quantum many-body spin system is a mapping to noninteracting effective fermions. We find such mappings using only the frustration graph $G$ of a Hamiltonian $H$, i.e., the network of anticommutation relations between the Pauli terms in $H$ in a given basis. Specifically, when $G$ is (even-hole, claw)-free, we construct an explicit free-fermion solution for $H$ using only this structure of $G$, even when no Jordan-Wigner transformation exists. The solution method is generic in that it applies for any values of the couplings. This mapping general","authors_text":"Adrian Chapman, Samuel J. Elman, Steven T. Flammia","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-14T19:00:01Z","title":"Free fermions behind the disguise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.07857","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":"sha256:3cd9afe498f08de71b9c321318fae2155bf099bcef45d727bcfa5640cc57a1f2","target":"record","created_at":"2026-07-05T03:29:46Z","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":"a43238e11afbbbda9be12bbd10584f713161409f6ce9974fc278bf938d67918f","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2020-12-14T19:00:01Z","title_canon_sha256":"1727b93b85ee36bf5b7eda5b3f32db66de6f3d5288eb5a10f11c15e56d74ae4e"},"schema_version":"1.0","source":{"id":"2012.07857","kind":"arxiv","version":2}},"canonical_sha256":"ecf0813f3013710c6d5c81a74a13528b52a9579e563cbcc9e065a7cab279d678","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecf0813f3013710c6d5c81a74a13528b52a9579e563cbcc9e065a7cab279d678","first_computed_at":"2026-07-05T03:29:46.870357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:29:46.870357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ea7CK2nRsmKKjOT/k/aw708dTPPcCJaAZeUy4XTlPflzvvxy7lBcuEIs92q08qc+RtPZmDRGIVdTXy9rI624BA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:29:46.870782Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.07857","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cd9afe498f08de71b9c321318fae2155bf099bcef45d727bcfa5640cc57a1f2","sha256:bc4c6fbc9f3189cadfc3d693ee958922fdf51790c08f5ba6795625f39219e8f3"],"state_sha256":"fd0d6a83019c062e04be9816342c70ac409330ef50c2b26f12b3a864859804a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p2U3eS43wbZXDIP63q5wNBjzkY8ax92IgT12P+6bzX0PGj2wyNjzT/x6Qna9VadADqAflFjCd/DCpG+wixJIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T01:51:30.542467Z","bundle_sha256":"d3b2149de2a9a1725aabc191d718de493147c74ed1ec59526606bf5370d050aa"}}