{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GWX2URQOLC4UN2SWPGRMGIFVLK","short_pith_number":"pith:GWX2URQO","canonical_record":{"source":{"id":"1809.05687","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-15T09:50:33Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"198d176bbbaa3ddef2b5efeba3432d8059a3847678fe3b3002805b52fa267549","abstract_canon_sha256":"5b90ceb48473e1cad7ec4de135be5bca698067af9f5d1a5a7d734cad0a6496a6"},"schema_version":"1.0"},"canonical_sha256":"35afaa460e58b946ea5679a2c320b55aa1b09e7ed09fec15faa5ec91a3a27ffd","source":{"kind":"arxiv","id":"1809.05687","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.05687","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"arxiv_version","alias_value":"1809.05687v2","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05687","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"pith_short_12","alias_value":"GWX2URQOLC4U","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GWX2URQOLC4UN2SW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GWX2URQO","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GWX2URQOLC4UN2SWPGRMGIFVLK","target":"record","payload":{"canonical_record":{"source":{"id":"1809.05687","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-15T09:50:33Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"198d176bbbaa3ddef2b5efeba3432d8059a3847678fe3b3002805b52fa267549","abstract_canon_sha256":"5b90ceb48473e1cad7ec4de135be5bca698067af9f5d1a5a7d734cad0a6496a6"},"schema_version":"1.0"},"canonical_sha256":"35afaa460e58b946ea5679a2c320b55aa1b09e7ed09fec15faa5ec91a3a27ffd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:59.054491Z","signature_b64":"XOiqxcw33mMyrF8gYWlBtVwYepJels1Os2l6kb7NDViH3bzTgjtizPUNdCokF54NPjmI8uwadcBjmELYXk0NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35afaa460e58b946ea5679a2c320b55aa1b09e7ed09fec15faa5ec91a3a27ffd","last_reissued_at":"2026-05-17T23:44:59.053936Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:59.053936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.05687","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":"2026-05-17T23:44:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sEYHr+7Z2fwXrwSw68WYd0O7B5xaVtqWjAXjLBJ7JWQltX+iFnzN0fID0qmoPcYU+wZqTYkp5UYWYv1GfQAXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:21:46.454206Z"},"content_sha256":"e90123485ccc87001af34f480ee4d59568f7362a92949aca2f76962bd4e1833d","schema_version":"1.0","event_id":"sha256:e90123485ccc87001af34f480ee4d59568f7362a92949aca2f76962bd4e1833d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GWX2URQOLC4UN2SWPGRMGIFVLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.supr-con","authors_text":"Shintaro Hoshino, Shun Tamura, Yukio Tanaka","submitted_at":"2018-09-15T09:50:33Z","abstract_excerpt":"Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the odd-frequency Cooper pair amplitudes can be expressed by a winding number extended to a nonzero frequency, which is called a `spectral bulk-boundary correspondence,' and can be evaluated from the spectral features of the bulk. The odd-frequency Cooper pair amplitudes are classified into two categories: the amplitudes in the first category have the singular functional f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05687","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":""},"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":"2026-05-17T23:44:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owe4eNRhtt3HOiB+lEImMGkWUZ/zeTpEnLZ5CxSE1MruqlKAzznxCf66pgTB2BwxMDUfhrfnGARPVtoqn/bEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:21:46.454860Z"},"content_sha256":"7d5b6626ee50ebfbe73acf4c98dd1d2886b1b7f43a3adef95588d15f53559e4a","schema_version":"1.0","event_id":"sha256:7d5b6626ee50ebfbe73acf4c98dd1d2886b1b7f43a3adef95588d15f53559e4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/bundle.json","state_url":"https://pith.science/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/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":"2026-06-02T14:21:46Z","links":{"resolver":"https://pith.science/pith/GWX2URQOLC4UN2SWPGRMGIFVLK","bundle":"https://pith.science/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/bundle.json","state":"https://pith.science/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWX2URQOLC4UN2SWPGRMGIFVLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GWX2URQOLC4UN2SWPGRMGIFVLK","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":"5b90ceb48473e1cad7ec4de135be5bca698067af9f5d1a5a7d734cad0a6496a6","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-15T09:50:33Z","title_canon_sha256":"198d176bbbaa3ddef2b5efeba3432d8059a3847678fe3b3002805b52fa267549"},"schema_version":"1.0","source":{"id":"1809.05687","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.05687","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"arxiv_version","alias_value":"1809.05687v2","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05687","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"pith_short_12","alias_value":"GWX2URQOLC4U","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GWX2URQOLC4UN2SW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GWX2URQO","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:7d5b6626ee50ebfbe73acf4c98dd1d2886b1b7f43a3adef95588d15f53559e4a","target":"graph","created_at":"2026-05-17T23:44:59Z","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":"Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the odd-frequency Cooper pair amplitudes can be expressed by a winding number extended to a nonzero frequency, which is called a `spectral bulk-boundary correspondence,' and can be evaluated from the spectral features of the bulk. The odd-frequency Cooper pair amplitudes are classified into two categories: the amplitudes in the first category have the singular functional f","authors_text":"Shintaro Hoshino, Shun Tamura, Yukio Tanaka","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-15T09:50:33Z","title":"Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05687","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:e90123485ccc87001af34f480ee4d59568f7362a92949aca2f76962bd4e1833d","target":"record","created_at":"2026-05-17T23:44:59Z","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":"5b90ceb48473e1cad7ec4de135be5bca698067af9f5d1a5a7d734cad0a6496a6","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-15T09:50:33Z","title_canon_sha256":"198d176bbbaa3ddef2b5efeba3432d8059a3847678fe3b3002805b52fa267549"},"schema_version":"1.0","source":{"id":"1809.05687","kind":"arxiv","version":2}},"canonical_sha256":"35afaa460e58b946ea5679a2c320b55aa1b09e7ed09fec15faa5ec91a3a27ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35afaa460e58b946ea5679a2c320b55aa1b09e7ed09fec15faa5ec91a3a27ffd","first_computed_at":"2026-05-17T23:44:59.053936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:59.053936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XOiqxcw33mMyrF8gYWlBtVwYepJels1Os2l6kb7NDViH3bzTgjtizPUNdCokF54NPjmI8uwadcBjmELYXk0NAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:59.054491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.05687","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e90123485ccc87001af34f480ee4d59568f7362a92949aca2f76962bd4e1833d","sha256:7d5b6626ee50ebfbe73acf4c98dd1d2886b1b7f43a3adef95588d15f53559e4a"],"state_sha256":"28719a4311cd8bd9a1b14797548139c559deb0a2e9acbaa476e67d7fa5b3165a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APbksg85FvrdYMemG7VeAfgbm3LrtowqCsWLNmpt9IuLdY9CpRSH9WQ49b0XHgNw6Zw5SIkgibEtK2OtLcjlDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:21:46.458144Z","bundle_sha256":"70ba578f47203ef584d10dc30377dd15906d56a0f7eea66be8dce1d2126d187b"}}