{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7MWQCKZIAFHKGPSADNZ2VI5A63","short_pith_number":"pith:7MWQCKZI","canonical_record":{"source":{"id":"2502.01169","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-02-03T09:04:00Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"d4a4519311681729552cbb757a1e621b1fe46441f2ea0db8f50bdf0ccf3bc3c4","abstract_canon_sha256":"97571c3b2f752b672e3687de88d3898ed0034ff3014e6b0e6133715cd98e6cd5"},"schema_version":"1.0"},"canonical_sha256":"fb2d012b28014ea33e401b73aaa3a0f6e02b51188c71813ae340d22b00e69220","source":{"kind":"arxiv","id":"2502.01169","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.01169","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"2502.01169v2","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01169","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"7MWQCKZIAFHK","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_16","alias_value":"7MWQCKZIAFHKGPSA","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_8","alias_value":"7MWQCKZI","created_at":"2026-07-05T11:03:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7MWQCKZIAFHKGPSADNZ2VI5A63","target":"record","payload":{"canonical_record":{"source":{"id":"2502.01169","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-02-03T09:04:00Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"d4a4519311681729552cbb757a1e621b1fe46441f2ea0db8f50bdf0ccf3bc3c4","abstract_canon_sha256":"97571c3b2f752b672e3687de88d3898ed0034ff3014e6b0e6133715cd98e6cd5"},"schema_version":"1.0"},"canonical_sha256":"fb2d012b28014ea33e401b73aaa3a0f6e02b51188c71813ae340d22b00e69220","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:21.043144Z","signature_b64":"IchUZ3eo3m/D4ydHC6m/cTghZuV1a66wT5YgZo7o6W2dvxxunDlR+x8h484VPlE9MGVy4YH+0c2NCo6WG42RAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb2d012b28014ea33e401b73aaa3a0f6e02b51188c71813ae340d22b00e69220","last_reissued_at":"2026-07-05T11:03:21.042682Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:21.042682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.01169","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":"2026-07-05T11:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tbfzi3AugYe7CBHVZM8+yn7vBgpvZiDqjn8TSxQ+uj/yDKkhNX2cSYdh6kwNo6YEIGPMpVr3gQQBAu2xDJAyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:23:39.353766Z"},"content_sha256":"70ed2e154b6c313301110750e78976b8f5e2bd9de5cc365916bee01d07fb5611","schema_version":"1.0","event_id":"sha256:70ed2e154b6c313301110750e78976b8f5e2bd9de5cc365916bee01d07fb5611"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7MWQCKZIAFHKGPSADNZ2VI5A63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization-group approach to the Kohn-Luttinger superconductivity: Amplification of the pairing gap from $\\ell^4$ to $\\ell$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"cond-mat.supr-con","authors_text":"Yuki Fujimoto","submitted_at":"2025-02-03T09:04:00Z","abstract_excerpt":"We revisit the renormalization group (RG) analysis of the Kohn-Luttinger (KL) mechanism for superconductivity. The KL mechanism leads to superconductivity in a system with a repulsive bare interaction. The key ingredient is the screening effect that renders the induced interaction attractive in channels with nonzero angular momentum $\\ell \\neq 0$, thereby triggering the Bardeen-Cooper-Schrieffer (BCS) instability. According to the original argument, the resulting gap is exponentially small, with its exponent scaling as $-\\ell^4$. However, the KL mechanism was originally formulated within pertu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01169","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/2502.01169/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":"2026-07-05T11:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5iKEMOXh0DLIlsuXmLB+9TKDCwdE8LIlMNLqYrt0jwM/UORabetgvVzqUvRgx7A+gYxUJfRCsC8FxyM+BnsUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:23:39.354384Z"},"content_sha256":"4fd4d76d5b1473104f5de73c57614671d5578c73920c3064fad459287c046c4f","schema_version":"1.0","event_id":"sha256:4fd4d76d5b1473104f5de73c57614671d5578c73920c3064fad459287c046c4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/bundle.json","state_url":"https://pith.science/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/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":"2026-08-07T01:23:39Z","links":{"resolver":"https://pith.science/pith/7MWQCKZIAFHKGPSADNZ2VI5A63","bundle":"https://pith.science/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/bundle.json","state":"https://pith.science/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MWQCKZIAFHKGPSADNZ2VI5A63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7MWQCKZIAFHKGPSADNZ2VI5A63","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":"97571c3b2f752b672e3687de88d3898ed0034ff3014e6b0e6133715cd98e6cd5","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-02-03T09:04:00Z","title_canon_sha256":"d4a4519311681729552cbb757a1e621b1fe46441f2ea0db8f50bdf0ccf3bc3c4"},"schema_version":"1.0","source":{"id":"2502.01169","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.01169","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"2502.01169v2","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01169","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"7MWQCKZIAFHK","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_16","alias_value":"7MWQCKZIAFHKGPSA","created_at":"2026-07-05T11:03:21Z"},{"alias_kind":"pith_short_8","alias_value":"7MWQCKZI","created_at":"2026-07-05T11:03:21Z"}],"graph_snapshots":[{"event_id":"sha256:4fd4d76d5b1473104f5de73c57614671d5578c73920c3064fad459287c046c4f","target":"graph","created_at":"2026-07-05T11:03:21Z","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/2502.01169/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the renormalization group (RG) analysis of the Kohn-Luttinger (KL) mechanism for superconductivity. The KL mechanism leads to superconductivity in a system with a repulsive bare interaction. The key ingredient is the screening effect that renders the induced interaction attractive in channels with nonzero angular momentum $\\ell \\neq 0$, thereby triggering the Bardeen-Cooper-Schrieffer (BCS) instability. According to the original argument, the resulting gap is exponentially small, with its exponent scaling as $-\\ell^4$. However, the KL mechanism was originally formulated within pertu","authors_text":"Yuki Fujimoto","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-02-03T09:04:00Z","title":"Renormalization-group approach to the Kohn-Luttinger superconductivity: Amplification of the pairing gap from $\\ell^4$ to $\\ell$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01169","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":"sha256:70ed2e154b6c313301110750e78976b8f5e2bd9de5cc365916bee01d07fb5611","target":"record","created_at":"2026-07-05T11:03:21Z","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":"97571c3b2f752b672e3687de88d3898ed0034ff3014e6b0e6133715cd98e6cd5","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-02-03T09:04:00Z","title_canon_sha256":"d4a4519311681729552cbb757a1e621b1fe46441f2ea0db8f50bdf0ccf3bc3c4"},"schema_version":"1.0","source":{"id":"2502.01169","kind":"arxiv","version":2}},"canonical_sha256":"fb2d012b28014ea33e401b73aaa3a0f6e02b51188c71813ae340d22b00e69220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2d012b28014ea33e401b73aaa3a0f6e02b51188c71813ae340d22b00e69220","first_computed_at":"2026-07-05T11:03:21.042682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:21.042682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IchUZ3eo3m/D4ydHC6m/cTghZuV1a66wT5YgZo7o6W2dvxxunDlR+x8h484VPlE9MGVy4YH+0c2NCo6WG42RAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:21.043144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.01169","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70ed2e154b6c313301110750e78976b8f5e2bd9de5cc365916bee01d07fb5611","sha256:4fd4d76d5b1473104f5de73c57614671d5578c73920c3064fad459287c046c4f"],"state_sha256":"84229b979d4e8ddf7b16b1b64fddd6ef6a67203423a636546a94d0e18fb2519e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dhi7bs4tbiqK56ZxLb6kfDpX2RXeMCdnzsqyGg7I6YA1/iOM5CezIPuOykHMx8i3k9cV2KTFvVHZsEUhDYW/Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T01:23:39.360711Z","bundle_sha256":"740314733ab9beea5b9bcad85663250627d53108989b2295762a674239949174"}}