{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y77JTTL3NJM6GGBZ2P56GJGUCG","short_pith_number":"pith:Y77JTTL3","canonical_record":{"source":{"id":"1111.5550","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-23T16:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"2dbd2e3b4f2c8aed60c7518f1d8e6aafce451652bd3fe8bec10f1b33b695dd3e","abstract_canon_sha256":"44f1f2ad888425f39297b29aaf45e7befcc980538192c263b3d50b3c43abba57"},"schema_version":"1.0"},"canonical_sha256":"c7fe99cd7b6a59e31839d3fbe324d411bfd906f891a15e8b0f7a79251774ac8c","source":{"kind":"arxiv","id":"1111.5550","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5550","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5550v3","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5550","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"Y77JTTL3NJM6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y77JTTL3NJM6GGBZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y77JTTL3","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y77JTTL3NJM6GGBZ2P56GJGUCG","target":"record","payload":{"canonical_record":{"source":{"id":"1111.5550","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-23T16:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"2dbd2e3b4f2c8aed60c7518f1d8e6aafce451652bd3fe8bec10f1b33b695dd3e","abstract_canon_sha256":"44f1f2ad888425f39297b29aaf45e7befcc980538192c263b3d50b3c43abba57"},"schema_version":"1.0"},"canonical_sha256":"c7fe99cd7b6a59e31839d3fbe324d411bfd906f891a15e8b0f7a79251774ac8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:22.299911Z","signature_b64":"BazB2zdp2ISLWpLcha6j1kqRrBy6ZMU+PnKtqcE4KgSUHSBa/euE8tkC1kTxQOt1NCTjVF+jK+avw7xD6P59AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7fe99cd7b6a59e31839d3fbe324d411bfd906f891a15e8b0f7a79251774ac8c","last_reissued_at":"2026-05-18T03:56:22.299056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:22.299056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.5550","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7dWs6wzmxzc1Fe7+eL9wZufPK+tFjAdpBKaMgqhlnv/t138rL8EOSvnd/pDzvU1sqt1DaPqE3ko19JqmrZIrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:10:17.556404Z"},"content_sha256":"3d2d3b8c31ca3d26484c895c87a9aadd90843630421f2401b2f2475160ef206e","schema_version":"1.0","event_id":"sha256:3d2d3b8c31ca3d26484c895c87a9aadd90843630421f2401b2f2475160ef206e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y77JTTL3NJM6GGBZ2P56GJGUCG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transversal Propagation Behaviors of Helical Edge States In a QSH System","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Chang-De Gong, Feng Lu, Jin An, Yuan Zhou","submitted_at":"2011-11-23T16:54:56Z","abstract_excerpt":"The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The penetration depth is momentum dependent in normal edge states. The finite size gap decays monotonously with sample width, leading to the normal size effect. In contrast, the penetration depth maintains a uniform minimal value in the special edge states with much shorter length. The finite size gap decays non-monotonously with width, leading to the anomalous finite si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5550","kind":"arxiv","version":3},"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":"2026-05-18T03:56:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E9xDOwIXNZN1qErqSWWXpO4//InNAw9nseLIzc6UHyrM37n7lzq80WzhzLVKPuCmYddT2RFbJcFKJQT9OcX/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:10:17.556832Z"},"content_sha256":"79f54527d2be4a083703984604633eb402a4b7147591aa7a9ed1c026ca16746d","schema_version":"1.0","event_id":"sha256:79f54527d2be4a083703984604633eb402a4b7147591aa7a9ed1c026ca16746d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/bundle.json","state_url":"https://pith.science/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/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":"2026-06-02T17:10:17Z","links":{"resolver":"https://pith.science/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG","bundle":"https://pith.science/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/bundle.json","state":"https://pith.science/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y77JTTL3NJM6GGBZ2P56GJGUCG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y77JTTL3NJM6GGBZ2P56GJGUCG","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":"44f1f2ad888425f39297b29aaf45e7befcc980538192c263b3d50b3c43abba57","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-23T16:54:56Z","title_canon_sha256":"2dbd2e3b4f2c8aed60c7518f1d8e6aafce451652bd3fe8bec10f1b33b695dd3e"},"schema_version":"1.0","source":{"id":"1111.5550","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5550","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5550v3","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5550","created_at":"2026-05-18T03:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"Y77JTTL3NJM6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y77JTTL3NJM6GGBZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y77JTTL3","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:79f54527d2be4a083703984604633eb402a4b7147591aa7a9ed1c026ca16746d","target":"graph","created_at":"2026-05-18T03:56:22Z","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":"The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The penetration depth is momentum dependent in normal edge states. The finite size gap decays monotonously with sample width, leading to the normal size effect. In contrast, the penetration depth maintains a uniform minimal value in the special edge states with much shorter length. The finite size gap decays non-monotonously with width, leading to the anomalous finite si","authors_text":"Chang-De Gong, Feng Lu, Jin An, Yuan Zhou","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-23T16:54:56Z","title":"Transversal Propagation Behaviors of Helical Edge States In a QSH System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5550","kind":"arxiv","version":3},"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":"sha256:3d2d3b8c31ca3d26484c895c87a9aadd90843630421f2401b2f2475160ef206e","target":"record","created_at":"2026-05-18T03:56:22Z","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":"44f1f2ad888425f39297b29aaf45e7befcc980538192c263b3d50b3c43abba57","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-23T16:54:56Z","title_canon_sha256":"2dbd2e3b4f2c8aed60c7518f1d8e6aafce451652bd3fe8bec10f1b33b695dd3e"},"schema_version":"1.0","source":{"id":"1111.5550","kind":"arxiv","version":3}},"canonical_sha256":"c7fe99cd7b6a59e31839d3fbe324d411bfd906f891a15e8b0f7a79251774ac8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7fe99cd7b6a59e31839d3fbe324d411bfd906f891a15e8b0f7a79251774ac8c","first_computed_at":"2026-05-18T03:56:22.299056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:22.299056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BazB2zdp2ISLWpLcha6j1kqRrBy6ZMU+PnKtqcE4KgSUHSBa/euE8tkC1kTxQOt1NCTjVF+jK+avw7xD6P59AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:22.299911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5550","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d2d3b8c31ca3d26484c895c87a9aadd90843630421f2401b2f2475160ef206e","sha256:79f54527d2be4a083703984604633eb402a4b7147591aa7a9ed1c026ca16746d"],"state_sha256":"4ee469283d65d7fe14eb68c7c3e4847eff35886a8a5cee75a3abf340cbcd3a8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uq745slPRTg9lcWnC3FYWhVfSDtvIgda56C49t0X8uXh+pkDdrJz7xQX00uhrRpqPaMGo1PUAr8rf9ggLzfADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:10:17.558817Z","bundle_sha256":"a438d5c2617802ead95f636d090120b1651ee2767e9bf7256012fa4e2fc54931"}}