{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:OQBYSQWJLB5UTYJXJTPZU6XIHG","short_pith_number":"pith:OQBYSQWJ","canonical_record":{"source":{"id":"2207.01825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2022-07-05T05:56:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"428e971ecdfd1ecc3f35a22b176c2572ccef36b985e4acf37e73a584334f886f","abstract_canon_sha256":"7afac35cc1ca6bad40d3f9a819f5195f7a4af7a624b8b682275165c0025ae11d"},"schema_version":"1.0"},"canonical_sha256":"74038942c9587b49e1374cdf9a7ae839b481393ddb1f30ea818730aed531b17f","source":{"kind":"arxiv","id":"2207.01825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01825","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01825v1","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01825","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_12","alias_value":"OQBYSQWJLB5U","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_16","alias_value":"OQBYSQWJLB5UTYJX","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_8","alias_value":"OQBYSQWJ","created_at":"2026-07-05T04:37:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:OQBYSQWJLB5UTYJXJTPZU6XIHG","target":"record","payload":{"canonical_record":{"source":{"id":"2207.01825","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2022-07-05T05:56:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"428e971ecdfd1ecc3f35a22b176c2572ccef36b985e4acf37e73a584334f886f","abstract_canon_sha256":"7afac35cc1ca6bad40d3f9a819f5195f7a4af7a624b8b682275165c0025ae11d"},"schema_version":"1.0"},"canonical_sha256":"74038942c9587b49e1374cdf9a7ae839b481393ddb1f30ea818730aed531b17f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:37:44.783658Z","signature_b64":"s6iqypVnzisBXuDY1khslgCwZarcaNotC/HMkDcJcxodT3vznNeeI9LClQr+Fv+9WLHbOn0BdRxSMHoTYKr+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74038942c9587b49e1374cdf9a7ae839b481393ddb1f30ea818730aed531b17f","last_reissued_at":"2026-07-05T04:37:44.783234Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:37:44.783234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.01825","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:37:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3OWWu/CzG1+iNRvF0eu7h5xrFYD3OlAbV/OFKwvEkWDnQt5pUFbNdXivV3RA8CaauotM1liGVxFToalHXqRkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T17:39:50.872819Z"},"content_sha256":"537d986c1aa0ed21aefbb59f998a60e380d39c8f520ed588240fb6935504a3ef","schema_version":"1.0","event_id":"sha256:537d986c1aa0ed21aefbb59f998a60e380d39c8f520ed588240fb6935504a3ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:OQBYSQWJLB5UTYJXJTPZU6XIHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Obstructions to odd-frequency superconductivity in Eliashberg theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.supr-con","authors_text":"Alexander V. Balatsky, Christian Hainzl, Edwin Langmann, Robert Seiringer","submitted_at":"2022-07-05T05:56:53Z","abstract_excerpt":"We present a necessary condition for odd-frequency (odd-f) superconductivity (SC) to occur in a large class of materials described by Eliashberg theory. We use this condition to prove a no-go theorem ruling out the occurrence of odd-f SC in standard one-band superconductors with pairing interactions mediated by phonon exchange. We also present a corresponding no-go theorem for superconductors with interactions mediated by spin-fluctuations. Our results explain why odd-f SC is rare in conventional materials, and they open up the possibility for a search for materials with interactions designed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01825","kind":"arxiv","version":1},"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/2207.01825/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":"2026-07-05T04:37:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WSoVuxy5JFTd+qDmsepZUBSqFMaAr8Fp8znBeX1DrC6ON7RXXYeHwoavU3SJ6MUpKWVELWy58TGe3qhprLzrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T17:39:50.873313Z"},"content_sha256":"aab98a15af9f92cf17ce90a9ab47bbf7bfaa8bcf4a4f5d42248270042506786c","schema_version":"1.0","event_id":"sha256:aab98a15af9f92cf17ce90a9ab47bbf7bfaa8bcf4a4f5d42248270042506786c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/bundle.json","state_url":"https://pith.science/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/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":"2026-08-19T17:39:50Z","links":{"resolver":"https://pith.science/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG","bundle":"https://pith.science/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/bundle.json","state":"https://pith.science/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OQBYSQWJLB5UTYJXJTPZU6XIHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:OQBYSQWJLB5UTYJXJTPZU6XIHG","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":"7afac35cc1ca6bad40d3f9a819f5195f7a4af7a624b8b682275165c0025ae11d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2022-07-05T05:56:53Z","title_canon_sha256":"428e971ecdfd1ecc3f35a22b176c2572ccef36b985e4acf37e73a584334f886f"},"schema_version":"1.0","source":{"id":"2207.01825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01825","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01825v1","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01825","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_12","alias_value":"OQBYSQWJLB5U","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_16","alias_value":"OQBYSQWJLB5UTYJX","created_at":"2026-07-05T04:37:44Z"},{"alias_kind":"pith_short_8","alias_value":"OQBYSQWJ","created_at":"2026-07-05T04:37:44Z"}],"graph_snapshots":[{"event_id":"sha256:aab98a15af9f92cf17ce90a9ab47bbf7bfaa8bcf4a4f5d42248270042506786c","target":"graph","created_at":"2026-07-05T04:37:44Z","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/2207.01825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a necessary condition for odd-frequency (odd-f) superconductivity (SC) to occur in a large class of materials described by Eliashberg theory. We use this condition to prove a no-go theorem ruling out the occurrence of odd-f SC in standard one-band superconductors with pairing interactions mediated by phonon exchange. We also present a corresponding no-go theorem for superconductors with interactions mediated by spin-fluctuations. Our results explain why odd-f SC is rare in conventional materials, and they open up the possibility for a search for materials with interactions designed ","authors_text":"Alexander V. Balatsky, Christian Hainzl, Edwin Langmann, Robert Seiringer","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2022-07-05T05:56:53Z","title":"Obstructions to odd-frequency superconductivity in Eliashberg theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01825","kind":"arxiv","version":1},"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":"sha256:537d986c1aa0ed21aefbb59f998a60e380d39c8f520ed588240fb6935504a3ef","target":"record","created_at":"2026-07-05T04:37:44Z","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":"7afac35cc1ca6bad40d3f9a819f5195f7a4af7a624b8b682275165c0025ae11d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2022-07-05T05:56:53Z","title_canon_sha256":"428e971ecdfd1ecc3f35a22b176c2572ccef36b985e4acf37e73a584334f886f"},"schema_version":"1.0","source":{"id":"2207.01825","kind":"arxiv","version":1}},"canonical_sha256":"74038942c9587b49e1374cdf9a7ae839b481393ddb1f30ea818730aed531b17f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74038942c9587b49e1374cdf9a7ae839b481393ddb1f30ea818730aed531b17f","first_computed_at":"2026-07-05T04:37:44.783234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:37:44.783234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s6iqypVnzisBXuDY1khslgCwZarcaNotC/HMkDcJcxodT3vznNeeI9LClQr+Fv+9WLHbOn0BdRxSMHoTYKr+Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:37:44.783658Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.01825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:537d986c1aa0ed21aefbb59f998a60e380d39c8f520ed588240fb6935504a3ef","sha256:aab98a15af9f92cf17ce90a9ab47bbf7bfaa8bcf4a4f5d42248270042506786c"],"state_sha256":"be4de57c86c8e0cb7fb9b76684164c291385cece6c20fc9f115280107bb80f1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thSitqXjx30/yGTPWcBx0nEVBMqUJv9AYQvyBCDvkOr1jcvc0AFPJut5xkv0GMJyulwCreVWcQHXzipa2LRhAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T17:39:50.877905Z","bundle_sha256":"a3fbc3096e2ee1af55938ccd365763164074ca45461f48d05a05491fdb1faa6e"}}