{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QQ2C4QXRCQO6JQSI6NJO5PDJFP","short_pith_number":"pith:QQ2C4QXR","canonical_record":{"source":{"id":"2605.20059","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-05-19T16:16:50Z","cross_cats_sorted":[],"title_canon_sha256":"edf0c48b248f552b6b26af7720824dc44d5616adbcf83ea85ccbf38f71c98f4c","abstract_canon_sha256":"a6da7f10e64b8e05bed0ffa861263943731bb4bcafa828215027dc1d62408428"},"schema_version":"1.0"},"canonical_sha256":"84342e42f1141de4c248f352eebc692bc1a7f0650a9ab48982fe0e491b499c34","source":{"kind":"arxiv","id":"2605.20059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20059","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20059v1","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20059","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"QQ2C4QXRCQO6","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_16","alias_value":"QQ2C4QXRCQO6JQSI","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_8","alias_value":"QQ2C4QXR","created_at":"2026-05-20T02:06:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QQ2C4QXRCQO6JQSI6NJO5PDJFP","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20059","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-05-19T16:16:50Z","cross_cats_sorted":[],"title_canon_sha256":"edf0c48b248f552b6b26af7720824dc44d5616adbcf83ea85ccbf38f71c98f4c","abstract_canon_sha256":"a6da7f10e64b8e05bed0ffa861263943731bb4bcafa828215027dc1d62408428"},"schema_version":"1.0"},"canonical_sha256":"84342e42f1141de4c248f352eebc692bc1a7f0650a9ab48982fe0e491b499c34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:06:00.535277Z","signature_b64":"MYY7L7p4XDBmYhnHdXofZ9bpQeC2qksX3uaM2E3E08TdQ7G+0kPfciZxITUwXo3Bg5PsxC8Ej0Qbk32mG6/PAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84342e42f1141de4c248f352eebc692bc1a7f0650a9ab48982fe0e491b499c34","last_reissued_at":"2026-05-20T02:06:00.534628Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:06:00.534628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20059","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":"2026-05-20T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9FaCoaJfMbcPdannqUWqLS+5fcq7F26ft1VsONfL32szyt47Betea4L9xa7ylPUxZCEA6JF1jowwj/nprsnnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T00:03:16.235941Z"},"content_sha256":"6ef540e356323bcdfd6774e4cd4e48cadf2e0224e59d2e3ce6bbf999eeb6d42c","schema_version":"1.0","event_id":"sha256:6ef540e356323bcdfd6774e4cd4e48cadf2e0224e59d2e3ce6bbf999eeb6d42c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QQ2C4QXRCQO6JQSI6NJO5PDJFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secondary Collective Excitations in Intermediate to Strong-Coupling Superconductors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"G\\\"otz S. Uhrig, Joshua Alth\\\"user","submitted_at":"2026-05-19T16:16:50Z","abstract_excerpt":"Considering systematically derived energy-transfer-dependent effective electron-electron interactions leads to the appearance of secondary phase and amplitude modes in isotropic superconductors in the intermediate-to-strong-coupling regime. We study the implications of such interactions on Bravais lattices by computing the corresponding response functions using the iterated equations of motion (iEoM) approach. In the weak-coupling regime, we find the conventional, primary amplitude and phase modes at $\\omega=2\\Delta$ and $\\omega=0$, respectively. For intermediate coupling, the amplitude mode d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20059","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/2605.20059/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":"2026-05-20T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0LI9cxIM9cC/qCmXr+BsQEpoULsX6y7HFEQHFpW1EZjSVKzAXDVvJ3BN9AM60Fax0Z4NfJtm1WtRwMz82JYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T00:03:16.236611Z"},"content_sha256":"d9dceffa21694cf76fdfc4ab545a6f5e1bb70a755f13486a18f862943ae281e9","schema_version":"1.0","event_id":"sha256:d9dceffa21694cf76fdfc4ab545a6f5e1bb70a755f13486a18f862943ae281e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/bundle.json","state_url":"https://pith.science/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/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":"2026-05-22T00:03:16Z","links":{"resolver":"https://pith.science/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP","bundle":"https://pith.science/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/bundle.json","state":"https://pith.science/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQ2C4QXRCQO6JQSI6NJO5PDJFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QQ2C4QXRCQO6JQSI6NJO5PDJFP","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":"a6da7f10e64b8e05bed0ffa861263943731bb4bcafa828215027dc1d62408428","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-05-19T16:16:50Z","title_canon_sha256":"edf0c48b248f552b6b26af7720824dc44d5616adbcf83ea85ccbf38f71c98f4c"},"schema_version":"1.0","source":{"id":"2605.20059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20059","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20059v1","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20059","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"QQ2C4QXRCQO6","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_16","alias_value":"QQ2C4QXRCQO6JQSI","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_8","alias_value":"QQ2C4QXR","created_at":"2026-05-20T02:06:00Z"}],"graph_snapshots":[{"event_id":"sha256:d9dceffa21694cf76fdfc4ab545a6f5e1bb70a755f13486a18f862943ae281e9","target":"graph","created_at":"2026-05-20T02:06:00Z","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/2605.20059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Considering systematically derived energy-transfer-dependent effective electron-electron interactions leads to the appearance of secondary phase and amplitude modes in isotropic superconductors in the intermediate-to-strong-coupling regime. We study the implications of such interactions on Bravais lattices by computing the corresponding response functions using the iterated equations of motion (iEoM) approach. In the weak-coupling regime, we find the conventional, primary amplitude and phase modes at $\\omega=2\\Delta$ and $\\omega=0$, respectively. For intermediate coupling, the amplitude mode d","authors_text":"G\\\"otz S. Uhrig, Joshua Alth\\\"user","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-05-19T16:16:50Z","title":"Secondary Collective Excitations in Intermediate to Strong-Coupling Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20059","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":"sha256:6ef540e356323bcdfd6774e4cd4e48cadf2e0224e59d2e3ce6bbf999eeb6d42c","target":"record","created_at":"2026-05-20T02:06:00Z","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":"a6da7f10e64b8e05bed0ffa861263943731bb4bcafa828215027dc1d62408428","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-05-19T16:16:50Z","title_canon_sha256":"edf0c48b248f552b6b26af7720824dc44d5616adbcf83ea85ccbf38f71c98f4c"},"schema_version":"1.0","source":{"id":"2605.20059","kind":"arxiv","version":1}},"canonical_sha256":"84342e42f1141de4c248f352eebc692bc1a7f0650a9ab48982fe0e491b499c34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84342e42f1141de4c248f352eebc692bc1a7f0650a9ab48982fe0e491b499c34","first_computed_at":"2026-05-20T02:06:00.534628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:06:00.534628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MYY7L7p4XDBmYhnHdXofZ9bpQeC2qksX3uaM2E3E08TdQ7G+0kPfciZxITUwXo3Bg5PsxC8Ej0Qbk32mG6/PAA==","signature_status":"signed_v1","signed_at":"2026-05-20T02:06:00.535277Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef540e356323bcdfd6774e4cd4e48cadf2e0224e59d2e3ce6bbf999eeb6d42c","sha256:d9dceffa21694cf76fdfc4ab545a6f5e1bb70a755f13486a18f862943ae281e9"],"state_sha256":"8eb70baec175590dd795281b4b6bdeb7801c4d7ff0e0b3797d201b759c3c7b56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7yOjdYYP71ougwvIVIvQUD5qsEGj1GySBEshJdOjg41cPGWTXS70arLkgDIGv3unMT98McNHoGJQOicva4y3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T00:03:16.239355Z","bundle_sha256":"538fdcca7bb599ea8bf747e684c0b5e4c3cd5d663ffb669947684c516b52e8de"}}