{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HVEX2OXRV5V6KM36VW5U5PLDT2","short_pith_number":"pith:HVEX2OXR","canonical_record":{"source":{"id":"1009.2551","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-14T01:11:58Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con"],"title_canon_sha256":"6259c70bdfb4f07abe5ebb23a70000830e3753d232390ad84244652761bf3ffe","abstract_canon_sha256":"ce2958ec45dd0b73574103d149f45ea86c656c60954581a987dcf0215e30f4d7"},"schema_version":"1.0"},"canonical_sha256":"3d497d3af1af6be5337eadbb4ebd639ebb58f70514be0ee8f7f71eb7b9b8c70b","source":{"kind":"arxiv","id":"1009.2551","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2551","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2551v3","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2551","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"HVEX2OXRV5V6","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HVEX2OXRV5V6KM36","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HVEX2OXR","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HVEX2OXRV5V6KM36VW5U5PLDT2","target":"record","payload":{"canonical_record":{"source":{"id":"1009.2551","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-14T01:11:58Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con"],"title_canon_sha256":"6259c70bdfb4f07abe5ebb23a70000830e3753d232390ad84244652761bf3ffe","abstract_canon_sha256":"ce2958ec45dd0b73574103d149f45ea86c656c60954581a987dcf0215e30f4d7"},"schema_version":"1.0"},"canonical_sha256":"3d497d3af1af6be5337eadbb4ebd639ebb58f70514be0ee8f7f71eb7b9b8c70b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:13.310331Z","signature_b64":"eQCS6VaQZJzLz2FpkZbmfB8SVDxx1abu3jie/jle0bZcD49RkU9W355q211PP2vMpdUdqHtHiqymM4NW7jEHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d497d3af1af6be5337eadbb4ebd639ebb58f70514be0ee8f7f71eb7b9b8c70b","last_reissued_at":"2026-05-18T04:26:13.309833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:13.309833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.2551","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gHfy+DQBuTsg8EcC9ezIzPruLDRlDLiXHr24KeCSETfXso4YGtnIyPg3I+rIjJYzU1GsFhIKdbOj0uihAVOEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:11:00.033844Z"},"content_sha256":"42ba36326dea5f05f59f4bd854373b219c27435328b4431b7582bd7436183041","schema_version":"1.0","event_id":"sha256:42ba36326dea5f05f59f4bd854373b219c27435328b4431b7582bd7436183041"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HVEX2OXRV5V6KM36VW5U5PLDT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"J\\\"org Schmalian, Rafael M. Fernandes","submitted_at":"2010-09-14T01:11:58Z","abstract_excerpt":"We show that the critical behavior of quantum systems undergoing a percolation transition is dramatically affected by their topological Berry phase $2\\pi\\rho$. For irrational $\\rho$, we demonstrate that the low-energy excitations of diluted Josephson-junctions arrays, quantum antiferromagnets, and interacting bosons are spinless fermions with fractal spectrum. As a result, critical properties not captured by the usual Ginzburg-Landau-Wilson description of phase transitions emerge, such as complex critical exponents, log-periodic oscillations and dynamically broken scale-invariance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2551","kind":"arxiv","version":3},"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":"2026-05-18T04:26:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdgbXAaqvOlsnEQEbYgaayOcwHkFDcrVwKkp+hwHeMuvEE2S4gE8wouENpzmOA1FjssXKwRo94phRqcs3kZwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:11:00.034410Z"},"content_sha256":"a7553912e126fbd488c8372366554148778cbd7e0f7ffd5971f7436af8bc8603","schema_version":"1.0","event_id":"sha256:a7553912e126fbd488c8372366554148778cbd7e0f7ffd5971f7436af8bc8603"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/bundle.json","state_url":"https://pith.science/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/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":"2026-05-27T07:11:00Z","links":{"resolver":"https://pith.science/pith/HVEX2OXRV5V6KM36VW5U5PLDT2","bundle":"https://pith.science/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/bundle.json","state":"https://pith.science/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVEX2OXRV5V6KM36VW5U5PLDT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HVEX2OXRV5V6KM36VW5U5PLDT2","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":"ce2958ec45dd0b73574103d149f45ea86c656c60954581a987dcf0215e30f4d7","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-14T01:11:58Z","title_canon_sha256":"6259c70bdfb4f07abe5ebb23a70000830e3753d232390ad84244652761bf3ffe"},"schema_version":"1.0","source":{"id":"1009.2551","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2551","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2551v3","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2551","created_at":"2026-05-18T04:26:13Z"},{"alias_kind":"pith_short_12","alias_value":"HVEX2OXRV5V6","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HVEX2OXRV5V6KM36","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HVEX2OXR","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:a7553912e126fbd488c8372366554148778cbd7e0f7ffd5971f7436af8bc8603","target":"graph","created_at":"2026-05-18T04:26:13Z","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 show that the critical behavior of quantum systems undergoing a percolation transition is dramatically affected by their topological Berry phase $2\\pi\\rho$. For irrational $\\rho$, we demonstrate that the low-energy excitations of diluted Josephson-junctions arrays, quantum antiferromagnets, and interacting bosons are spinless fermions with fractal spectrum. As a result, critical properties not captured by the usual Ginzburg-Landau-Wilson description of phase transitions emerge, such as complex critical exponents, log-periodic oscillations and dynamically broken scale-invariance.","authors_text":"J\\\"org Schmalian, Rafael M. Fernandes","cross_cats":["cond-mat.stat-mech","cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-14T01:11:58Z","title":"Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2551","kind":"arxiv","version":3},"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":"sha256:42ba36326dea5f05f59f4bd854373b219c27435328b4431b7582bd7436183041","target":"record","created_at":"2026-05-18T04:26:13Z","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":"ce2958ec45dd0b73574103d149f45ea86c656c60954581a987dcf0215e30f4d7","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-14T01:11:58Z","title_canon_sha256":"6259c70bdfb4f07abe5ebb23a70000830e3753d232390ad84244652761bf3ffe"},"schema_version":"1.0","source":{"id":"1009.2551","kind":"arxiv","version":3}},"canonical_sha256":"3d497d3af1af6be5337eadbb4ebd639ebb58f70514be0ee8f7f71eb7b9b8c70b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d497d3af1af6be5337eadbb4ebd639ebb58f70514be0ee8f7f71eb7b9b8c70b","first_computed_at":"2026-05-18T04:26:13.309833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:13.309833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eQCS6VaQZJzLz2FpkZbmfB8SVDxx1abu3jie/jle0bZcD49RkU9W355q211PP2vMpdUdqHtHiqymM4NW7jEHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:13.310331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2551","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42ba36326dea5f05f59f4bd854373b219c27435328b4431b7582bd7436183041","sha256:a7553912e126fbd488c8372366554148778cbd7e0f7ffd5971f7436af8bc8603"],"state_sha256":"4f8afdd40b913a019ba3fbfcb799f0eff5699cbda81d9777cc939fb7a8be3a9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9jI3p+RqFFuIPEWuxhy5z6Z6HJuWbkBe3xIFZCzNFe2L+Wz/5jUEnZq33OOov/UCnkL+VIE7euQJqj9hOI6SDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:11:00.036742Z","bundle_sha256":"582f14eedc9606df3152b938bd4c634d82fc8263db5302e033db982d0a78abb6"}}