{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YMGDW4NRVQR7KH3OWTYFPHRZKA","short_pith_number":"pith:YMGDW4NR","canonical_record":{"source":{"id":"1610.05691","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-18T16:09:18Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"ef4e0ce7bd02dcd4180b72b3e0e9236f78999cb2014d29e0fabdd164340b4d92","abstract_canon_sha256":"7ad7be599909ee14273edbebb8a05cf3568fe556ddff13ae7f5ed3ff3b4d9ef2"},"schema_version":"1.0"},"canonical_sha256":"c30c3b71b1ac23f51f6eb4f0579e39501d19cce64fdf1e737e6263f83be93658","source":{"kind":"arxiv","id":"1610.05691","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05691","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05691v2","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05691","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"YMGDW4NRVQR7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YMGDW4NRVQR7KH3O","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YMGDW4NR","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YMGDW4NRVQR7KH3OWTYFPHRZKA","target":"record","payload":{"canonical_record":{"source":{"id":"1610.05691","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-18T16:09:18Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"ef4e0ce7bd02dcd4180b72b3e0e9236f78999cb2014d29e0fabdd164340b4d92","abstract_canon_sha256":"7ad7be599909ee14273edbebb8a05cf3568fe556ddff13ae7f5ed3ff3b4d9ef2"},"schema_version":"1.0"},"canonical_sha256":"c30c3b71b1ac23f51f6eb4f0579e39501d19cce64fdf1e737e6263f83be93658","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:41.011716Z","signature_b64":"yZYA4M3rmEZiZY/qOjBFXoxKDNQTHRO1la7DNJ0gJllJ28ot96MvrMqpgCmJYKsI9Dw2DeSKPRtH3WISnX2wBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c30c3b71b1ac23f51f6eb4f0579e39501d19cce64fdf1e737e6263f83be93658","last_reissued_at":"2026-05-18T00:40:41.010695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:41.010695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.05691","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJrm8IpnfmwHaWDDd+6PFuUUozyUnYBbLjDqk9mMP5QIy9vDfqyu9I7UtuOFCjcCyuCwEI8Vk0IslTFLP1rwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:45:09.829580Z"},"content_sha256":"ad1a5fa5e2f5084f53beec85678591853cd591a5a175cc788d287ec1db6ce302","schema_version":"1.0","event_id":"sha256:ad1a5fa5e2f5084f53beec85678591853cd591a5a175cc788d287ec1db6ce302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YMGDW4NRVQR7KH3OWTYFPHRZKA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beta-functions of non-linear $\\sigma$-models for disordered and interacting electron systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"cond-mat.dis-nn","authors_text":"Luca Dell'Anna","submitted_at":"2016-10-18T16:09:18Z","abstract_excerpt":"We provide and study complete sets of one-loop renormalization group equations of several Finkel'stein non-linear $\\sigma$-models, the effective field theories describing the diffusive quantum fluctuations in correlated disordered systems. We consider different cases according to the presence of certain symmetries induced by the original random Hamiltonians, and we show that, for interacting systems, the Cartan's classification of symmetry classes is not enough to uniquely determine their scaling behaviors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05691","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":"2026-05-18T00:40:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DdD19OEXMKthu0ze4ECHvMoIstKda0rSnPyVhMP0v4EuOz01omMkHyAWwO2ofUKlRrqJ3L7hBRMhaaxMG7GVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:45:09.830338Z"},"content_sha256":"904f2a2b36ebc2f5ccad4422bf004f0a7555441f0c75f8130a6263c65995f564","schema_version":"1.0","event_id":"sha256:904f2a2b36ebc2f5ccad4422bf004f0a7555441f0c75f8130a6263c65995f564"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/bundle.json","state_url":"https://pith.science/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/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":"2026-06-09T07:45:09Z","links":{"resolver":"https://pith.science/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA","bundle":"https://pith.science/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/bundle.json","state":"https://pith.science/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YMGDW4NRVQR7KH3OWTYFPHRZKA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YMGDW4NRVQR7KH3OWTYFPHRZKA","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":"7ad7be599909ee14273edbebb8a05cf3568fe556ddff13ae7f5ed3ff3b4d9ef2","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-18T16:09:18Z","title_canon_sha256":"ef4e0ce7bd02dcd4180b72b3e0e9236f78999cb2014d29e0fabdd164340b4d92"},"schema_version":"1.0","source":{"id":"1610.05691","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05691","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05691v2","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05691","created_at":"2026-05-18T00:40:41Z"},{"alias_kind":"pith_short_12","alias_value":"YMGDW4NRVQR7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YMGDW4NRVQR7KH3O","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YMGDW4NR","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:904f2a2b36ebc2f5ccad4422bf004f0a7555441f0c75f8130a6263c65995f564","target":"graph","created_at":"2026-05-18T00:40:41Z","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 provide and study complete sets of one-loop renormalization group equations of several Finkel'stein non-linear $\\sigma$-models, the effective field theories describing the diffusive quantum fluctuations in correlated disordered systems. We consider different cases according to the presence of certain symmetries induced by the original random Hamiltonians, and we show that, for interacting systems, the Cartan's classification of symmetry classes is not enough to uniquely determine their scaling behaviors.","authors_text":"Luca Dell'Anna","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-18T16:09:18Z","title":"Beta-functions of non-linear $\\sigma$-models for disordered and interacting electron systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05691","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:ad1a5fa5e2f5084f53beec85678591853cd591a5a175cc788d287ec1db6ce302","target":"record","created_at":"2026-05-18T00:40:41Z","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":"7ad7be599909ee14273edbebb8a05cf3568fe556ddff13ae7f5ed3ff3b4d9ef2","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-18T16:09:18Z","title_canon_sha256":"ef4e0ce7bd02dcd4180b72b3e0e9236f78999cb2014d29e0fabdd164340b4d92"},"schema_version":"1.0","source":{"id":"1610.05691","kind":"arxiv","version":2}},"canonical_sha256":"c30c3b71b1ac23f51f6eb4f0579e39501d19cce64fdf1e737e6263f83be93658","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c30c3b71b1ac23f51f6eb4f0579e39501d19cce64fdf1e737e6263f83be93658","first_computed_at":"2026-05-18T00:40:41.010695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:41.010695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yZYA4M3rmEZiZY/qOjBFXoxKDNQTHRO1la7DNJ0gJllJ28ot96MvrMqpgCmJYKsI9Dw2DeSKPRtH3WISnX2wBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:41.011716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05691","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad1a5fa5e2f5084f53beec85678591853cd591a5a175cc788d287ec1db6ce302","sha256:904f2a2b36ebc2f5ccad4422bf004f0a7555441f0c75f8130a6263c65995f564"],"state_sha256":"15c2af1ac9d64d40d971ccc70f0205d1ef864942f5ebad0ec0f585e99b450035"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Tl4THDwtHQij2/rodqw6nKWKrMakJebcIeSYXu/u1JQH3nMwsSY8eLQJLYOSUf2JwWqZbs+6xCmVd9rxhlUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:45:09.834267Z","bundle_sha256":"fd817c1ca102e5a08a73fe76b3ddb050275daee19fc38eb5260c5c774d7d981f"}}