{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:URKRVVGPER2WWUGS4SDGE4HZDQ","short_pith_number":"pith:URKRVVGP","canonical_record":{"source":{"id":"2511.04263","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-06T10:51:53Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"eae7cd416e55d936bc441eb63ced7f419f8a0f48f13eb9216dabc5fc37d6fa73","abstract_canon_sha256":"da03734ca185634353c5b1f082f4242467a6b14c106f691ba18be5cdf0801ea2"},"schema_version":"1.0"},"canonical_sha256":"a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0","source":{"kind":"arxiv","id":"2511.04263","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.04263","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2511.04263v4","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.04263","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"URKRVVGPER2W","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"URKRVVGPER2WWUGS","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"URKRVVGP","created_at":"2026-05-20T01:06:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:URKRVVGPER2WWUGS4SDGE4HZDQ","target":"record","payload":{"canonical_record":{"source":{"id":"2511.04263","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-06T10:51:53Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"eae7cd416e55d936bc441eb63ced7f419f8a0f48f13eb9216dabc5fc37d6fa73","abstract_canon_sha256":"da03734ca185634353c5b1f082f4242467a6b14c106f691ba18be5cdf0801ea2"},"schema_version":"1.0"},"canonical_sha256":"a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:06:06.814942Z","signature_b64":"sPmnwD1VbV/mX1h8WEiZdv0TyiHG8z24GxU7MYR3YbgvG9WoFFgUxkhxSyCQj69a8jLqBHZ/GeEMKnYYqjwEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0","last_reissued_at":"2026-05-20T01:06:06.814192Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:06:06.814192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2511.04263","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lCmaDd2PaywGbfOPw3ZmOQlQOipdKmk9IpE2ff5SFC/tXXQXTiLVgOZBJAil4955uyaVFl9YSl+HjI2QYTJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:02:08.461933Z"},"content_sha256":"ee9dbdef8fbf6e5249cb31ee98971e20b838c8cc7a2c36420cbf00943b9da85b","schema_version":"1.0","event_id":"sha256:ee9dbdef8fbf6e5249cb31ee98971e20b838c8cc7a2c36420cbf00943b9da85b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:URKRVVGPER2WWUGS4SDGE4HZDQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin responses of a disordered helical superconducting edge under Zeeman field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Mir Vahid Hosseini, Zeinab Bakhshipour","submitted_at":"2025-11-06T10:51:53Z","abstract_excerpt":"We investigate analytically and numerically the effects of disorder on the helical edge of the 2D topological insulator in the presence of the Zeeman field and superconductivity. Employing bosonization and a renormalization-group analysis, we study how impurity potentials modify charge- and spin-density wave correlations as well as superconducting pair correlations. Our results reveal that the Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the re"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f1f2e28bf3b04c51fc0b1be2bb69a95823948e172722b744f1be14ec11353423"},"source":{"id":"2511.04263","kind":"arxiv","version":4},"verdict":{"id":"4757811c-433d-492d-a42a-e9e97ff017e1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T01:10:42.078868Z","strongest_claim":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.","one_line_summary":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis.","pith_extraction_headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.04263/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":2,"snapshot_sha256":"f841f41af5ce18a0deb7c4e2c4ec877649224cf13b9b04fe2f27668a0ac834f2"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"4757811c-433d-492d-a42a-e9e97ff017e1"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BAsZPtMzAP/R8dvzN0buWeUg0FqnuJQf/BfLNBEHgkO1NLgzMPbyHI73I2z7q+BTv5bk2g9XssUiW7Y0S2P3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:02:08.462441Z"},"content_sha256":"cc1565ad17a44541cc1c68271fd2ed50465d14311848770f7ad03c49d2cdb981","schema_version":"1.0","event_id":"sha256:cc1565ad17a44541cc1c68271fd2ed50465d14311848770f7ad03c49d2cdb981"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/bundle.json","state_url":"https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/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":"2026-05-30T07:02:08Z","links":{"resolver":"https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ","bundle":"https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/bundle.json","state":"https://pith.science/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/URKRVVGPER2WWUGS4SDGE4HZDQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:URKRVVGPER2WWUGS4SDGE4HZDQ","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":"da03734ca185634353c5b1f082f4242467a6b14c106f691ba18be5cdf0801ea2","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-06T10:51:53Z","title_canon_sha256":"eae7cd416e55d936bc441eb63ced7f419f8a0f48f13eb9216dabc5fc37d6fa73"},"schema_version":"1.0","source":{"id":"2511.04263","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.04263","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"2511.04263v4","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.04263","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"URKRVVGPER2W","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"URKRVVGPER2WWUGS","created_at":"2026-05-20T01:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"URKRVVGP","created_at":"2026-05-20T01:06:06Z"}],"graph_snapshots":[{"event_id":"sha256:cc1565ad17a44541cc1c68271fd2ed50465d14311848770f7ad03c49d2cdb981","target":"graph","created_at":"2026-05-20T01:06:06Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling."}],"snapshot_sha256":"f1f2e28bf3b04c51fc0b1be2bb69a95823948e172722b744f1be14ec11353423"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"f841f41af5ce18a0deb7c4e2c4ec877649224cf13b9b04fe2f27668a0ac834f2"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2511.04263/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate analytically and numerically the effects of disorder on the helical edge of the 2D topological insulator in the presence of the Zeeman field and superconductivity. Employing bosonization and a renormalization-group analysis, we study how impurity potentials modify charge- and spin-density wave correlations as well as superconducting pair correlations. Our results reveal that the Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the re","authors_text":"Mir Vahid Hosseini, Zeinab Bakhshipour","cross_cats":["cond-mat.mes-hall"],"headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-06T10:51:53Z","title":"Spin responses of a disordered helical superconducting edge under Zeeman field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.04263","kind":"arxiv","version":4},"verdict":{"created_at":"2026-05-18T01:10:42.078868Z","id":"4757811c-433d-492d-a42a-e9e97ff017e1","model_set":{"reader":"grok-4.3"},"one_line_summary":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","strongest_claim":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.","weakest_assumption":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis."}},"verdict_id":"4757811c-433d-492d-a42a-e9e97ff017e1"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ee9dbdef8fbf6e5249cb31ee98971e20b838c8cc7a2c36420cbf00943b9da85b","target":"record","created_at":"2026-05-20T01:06:06Z","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":"da03734ca185634353c5b1f082f4242467a6b14c106f691ba18be5cdf0801ea2","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-11-06T10:51:53Z","title_canon_sha256":"eae7cd416e55d936bc441eb63ced7f419f8a0f48f13eb9216dabc5fc37d6fa73"},"schema_version":"1.0","source":{"id":"2511.04263","kind":"arxiv","version":4}},"canonical_sha256":"a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4551ad4cf24756b50d2e4866270f91c2fba80b9abebc5cd128afbf85b9a21b0","first_computed_at":"2026-05-20T01:06:06.814192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:06:06.814192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sPmnwD1VbV/mX1h8WEiZdv0TyiHG8z24GxU7MYR3YbgvG9WoFFgUxkhxSyCQj69a8jLqBHZ/GeEMKnYYqjwEBw==","signature_status":"signed_v1","signed_at":"2026-05-20T01:06:06.814942Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.04263","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee9dbdef8fbf6e5249cb31ee98971e20b838c8cc7a2c36420cbf00943b9da85b","sha256:cc1565ad17a44541cc1c68271fd2ed50465d14311848770f7ad03c49d2cdb981"],"state_sha256":"25a5b7ce7cf544ad43f72d60e0f4aa19699d25fab89beda4f5ae230012c099b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TWNT25b9ws0JOCQGefo2b18XuLPXd8oaSVBvOVKQdvMPUgcs9kak3elDSjmhqMwn7E+X1RsSFs4JDA6rv01hCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:02:08.465216Z","bundle_sha256":"84dc7c5c4395f6bfa73fcffb333d2fc1536062f2fa5075c5864ed9283db21e85"}}