{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LGXYNY4VXU5IIFP2624RDX4HPN","short_pith_number":"pith:LGXYNY4V","canonical_record":{"source":{"id":"2608.11021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-11T15:01:59Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"e09ec7ac72b4ec142bccd6e8a38775552d430288254796116464206de9329586","abstract_canon_sha256":"850eccb7cdfd0659e7c620938a121397ffa61c0f6a0d20bb53c55458bb0c3d33"},"schema_version":"1.0"},"canonical_sha256":"59af86e395bd3a8415faf6b911df877b768b2c199ca3eab458db736419aaa556","source":{"kind":"arxiv","id":"2608.11021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.11021","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"arxiv_version","alias_value":"2608.11021v1","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.11021","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_12","alias_value":"LGXYNY4VXU5I","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_16","alias_value":"LGXYNY4VXU5IIFP2","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_8","alias_value":"LGXYNY4V","created_at":"2026-08-12T01:24:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LGXYNY4VXU5IIFP2624RDX4HPN","target":"record","payload":{"canonical_record":{"source":{"id":"2608.11021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-11T15:01:59Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"e09ec7ac72b4ec142bccd6e8a38775552d430288254796116464206de9329586","abstract_canon_sha256":"850eccb7cdfd0659e7c620938a121397ffa61c0f6a0d20bb53c55458bb0c3d33"},"schema_version":"1.0"},"canonical_sha256":"59af86e395bd3a8415faf6b911df877b768b2c199ca3eab458db736419aaa556","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-12T01:24:05.245464Z","signature_b64":"gJv0J56NCcMvPegaTSWfSJLcQhv13DoAmLXvoXHaQEw59/p/JX1HIkafZIlYNubxlMo3Z5vbccL4ouxmlQc7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59af86e395bd3a8415faf6b911df877b768b2c199ca3eab458db736419aaa556","last_reissued_at":"2026-08-12T01:24:05.243498Z","signature_status":"signed_v1","first_computed_at":"2026-08-12T01:24:05.243498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.11021","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":"2026-08-12T01:24:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g8OjQBef943kZ4w0FkC9YQLYvWbTroyRCz3UTGX5ievlliycjeho8Cm2yK9o2Gil02oVgHDHVwID5K3kOHRbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:40:28.094885Z"},"content_sha256":"efcc25c7811e20d384f591bcaf7d3936f8a46cc62c52bf0559b631d7282fa901","schema_version":"1.0","event_id":"sha256:efcc25c7811e20d384f591bcaf7d3936f8a46cc62c52bf0559b631d7282fa901"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LGXYNY4VXU5IIFP2624RDX4HPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal scaling of spatially extended zero modes in inhomogeneous SSH chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Gilles Parez, Lucia Morey, Luc Vinet, Nicolas Cramp\\'e, Quentin Labriet","submitted_at":"2026-08-11T15:01:59Z","abstract_excerpt":"Protected zero modes are a hallmark of topological phases of matter and are exponentially localized at sharp interfaces between distinct gapped phases. We investigate how this picture changes for smooth interfaces in a broad class of inhomogeneous Su-Schrieffer-Heeger (SSH) models. Combining an exact lattice solution with an inhomogeneous Dirac description, we show that the associated Jackiw-Rebbi zero mode becomes spatially extended. For arbitrary smooth hopping profiles, its lattice extension universally scales as the square root of the system size, independently of the microscopic details o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.11021","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/2608.11021/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":"2026-08-12T01:24:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qoQyns+t/YNctNzF/4p+fvZN5cWgr9SWP9rBJoE3TMl3KqDC/6Qedsn6CWwG3XM34Xs7dQDFl5cEQi282IkLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:40:28.095272Z"},"content_sha256":"16cc0c5426db28feaa46f529e73aa3df36e296a91c165e749755900827c8f971","schema_version":"1.0","event_id":"sha256:16cc0c5426db28feaa46f529e73aa3df36e296a91c165e749755900827c8f971"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGXYNY4VXU5IIFP2624RDX4HPN/bundle.json","state_url":"https://pith.science/pith/LGXYNY4VXU5IIFP2624RDX4HPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGXYNY4VXU5IIFP2624RDX4HPN/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":"2026-08-12T21:40:28Z","links":{"resolver":"https://pith.science/pith/LGXYNY4VXU5IIFP2624RDX4HPN","bundle":"https://pith.science/pith/LGXYNY4VXU5IIFP2624RDX4HPN/bundle.json","state":"https://pith.science/pith/LGXYNY4VXU5IIFP2624RDX4HPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGXYNY4VXU5IIFP2624RDX4HPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LGXYNY4VXU5IIFP2624RDX4HPN","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":"850eccb7cdfd0659e7c620938a121397ffa61c0f6a0d20bb53c55458bb0c3d33","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-11T15:01:59Z","title_canon_sha256":"e09ec7ac72b4ec142bccd6e8a38775552d430288254796116464206de9329586"},"schema_version":"1.0","source":{"id":"2608.11021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.11021","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"arxiv_version","alias_value":"2608.11021v1","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.11021","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_12","alias_value":"LGXYNY4VXU5I","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_16","alias_value":"LGXYNY4VXU5IIFP2","created_at":"2026-08-12T01:24:05Z"},{"alias_kind":"pith_short_8","alias_value":"LGXYNY4V","created_at":"2026-08-12T01:24:05Z"}],"graph_snapshots":[{"event_id":"sha256:16cc0c5426db28feaa46f529e73aa3df36e296a91c165e749755900827c8f971","target":"graph","created_at":"2026-08-12T01:24:05Z","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/2608.11021/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Protected zero modes are a hallmark of topological phases of matter and are exponentially localized at sharp interfaces between distinct gapped phases. We investigate how this picture changes for smooth interfaces in a broad class of inhomogeneous Su-Schrieffer-Heeger (SSH) models. Combining an exact lattice solution with an inhomogeneous Dirac description, we show that the associated Jackiw-Rebbi zero mode becomes spatially extended. For arbitrary smooth hopping profiles, its lattice extension universally scales as the square root of the system size, independently of the microscopic details o","authors_text":"Gilles Parez, Lucia Morey, Luc Vinet, Nicolas Cramp\\'e, Quentin Labriet","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-11T15:01:59Z","title":"Universal scaling of spatially extended zero modes in inhomogeneous SSH chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.11021","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:efcc25c7811e20d384f591bcaf7d3936f8a46cc62c52bf0559b631d7282fa901","target":"record","created_at":"2026-08-12T01:24:05Z","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":"850eccb7cdfd0659e7c620938a121397ffa61c0f6a0d20bb53c55458bb0c3d33","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-08-11T15:01:59Z","title_canon_sha256":"e09ec7ac72b4ec142bccd6e8a38775552d430288254796116464206de9329586"},"schema_version":"1.0","source":{"id":"2608.11021","kind":"arxiv","version":1}},"canonical_sha256":"59af86e395bd3a8415faf6b911df877b768b2c199ca3eab458db736419aaa556","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59af86e395bd3a8415faf6b911df877b768b2c199ca3eab458db736419aaa556","first_computed_at":"2026-08-12T01:24:05.243498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-12T01:24:05.243498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJv0J56NCcMvPegaTSWfSJLcQhv13DoAmLXvoXHaQEw59/p/JX1HIkafZIlYNubxlMo3Z5vbccL4ouxmlQc7Bw==","signature_status":"signed_v1","signed_at":"2026-08-12T01:24:05.245464Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.11021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efcc25c7811e20d384f591bcaf7d3936f8a46cc62c52bf0559b631d7282fa901","sha256:16cc0c5426db28feaa46f529e73aa3df36e296a91c165e749755900827c8f971"],"state_sha256":"d9ee55869e0a90711d75b49e9411a5f1d79294e41746ad36f43221e8e4c83097"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YcavJbYCMiEZuFAtV2QDM1Wb5fOwoU3mhMTOSXYrEwtALp155orpBQdRIi92kVxtgkNqmAmiXglD+Muf6lwrBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T21:40:28.098347Z","bundle_sha256":"55f2ba0eb06be5ba82090ac0d24bd860ca0042e8a55fad0abeaf52fda74b7a64"}}