{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OEKEK3RKAHTMO623WTOQIH6BC2","short_pith_number":"pith:OEKEK3RK","canonical_record":{"source":{"id":"1005.3880","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-21T03:41:40Z","cross_cats_sorted":[],"title_canon_sha256":"0ff63ad81e4223afb1fd4b38865df4b2d9819b1b63b1d76954c10109c715d270","abstract_canon_sha256":"b12d02f5e7308c342b2d878e1b09816a11534811f6a3337c87342cdfb518157f"},"schema_version":"1.0"},"canonical_sha256":"7114456e2a01e6c77b5bb4dd041fc116aea79b2c92bff09b9c3edc132e5f437a","source":{"kind":"arxiv","id":"1005.3880","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3880","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3880v1","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3880","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"pith_short_12","alias_value":"OEKEK3RKAHTM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OEKEK3RKAHTMO623","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OEKEK3RK","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OEKEK3RKAHTMO623WTOQIH6BC2","target":"record","payload":{"canonical_record":{"source":{"id":"1005.3880","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-21T03:41:40Z","cross_cats_sorted":[],"title_canon_sha256":"0ff63ad81e4223afb1fd4b38865df4b2d9819b1b63b1d76954c10109c715d270","abstract_canon_sha256":"b12d02f5e7308c342b2d878e1b09816a11534811f6a3337c87342cdfb518157f"},"schema_version":"1.0"},"canonical_sha256":"7114456e2a01e6c77b5bb4dd041fc116aea79b2c92bff09b9c3edc132e5f437a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:15.915358Z","signature_b64":"Bprpv9UNUcI/DmH/LVzuXAUXfgV0MDQsY7Dn8XFzEcSoEQzMuCo3yZBINhS5lkUxUDDdN55B1dkJJdqVx0NcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7114456e2a01e6c77b5bb4dd041fc116aea79b2c92bff09b9c3edc132e5f437a","last_reissued_at":"2026-05-18T02:07:15.914640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:15.914640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.3880","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":"2026-05-18T02:07:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r8qM7d31a00EeZ9j0B8DXLcDvlZ77PyW7KLTtwcsYkL4DeZwKlWVzJq4pgv3KvPItKrXZlctNQrkGrVXZ5cZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:24:11.243088Z"},"content_sha256":"486df10724c3f4686a014305b511621a7df41a63f8be1d36acfaec8b326cbaf7","schema_version":"1.0","event_id":"sha256:486df10724c3f4686a014305b511621a7df41a63f8be1d36acfaec8b326cbaf7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OEKEK3RKAHTMO623WTOQIH6BC2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group study of a two-valley system with spin-splitting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Alexander Punnoose","submitted_at":"2010-05-21T03:41:40Z","abstract_excerpt":"Renormalization group equations in a two-valley system with valley-splitting and intervalley scattering are derived in the presence of spin-splitting induced by a parallel magnetic field. The relevant amplitudes in different regimes set by the relative strengths of the spin and valley splittings and the intervalley scattering rate are identified. The range of applicability of the standard formula for the magnetoconductance is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3880","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":""},"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":"2026-05-18T02:07:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1A8ZtVaxNxtrN7fk9Ui+5dbTPBGKPjfgXa+lxcnxGG7PnkscSRrpNuLYjVjJLFM62OaV29GWWMnrUY3d1pzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:24:11.243456Z"},"content_sha256":"748cae661b2d4f5184201be2e025c54cc7c689c547525cf3ea707d294d7262c6","schema_version":"1.0","event_id":"sha256:748cae661b2d4f5184201be2e025c54cc7c689c547525cf3ea707d294d7262c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OEKEK3RKAHTMO623WTOQIH6BC2/bundle.json","state_url":"https://pith.science/pith/OEKEK3RKAHTMO623WTOQIH6BC2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OEKEK3RKAHTMO623WTOQIH6BC2/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":"2026-06-01T08:24:11Z","links":{"resolver":"https://pith.science/pith/OEKEK3RKAHTMO623WTOQIH6BC2","bundle":"https://pith.science/pith/OEKEK3RKAHTMO623WTOQIH6BC2/bundle.json","state":"https://pith.science/pith/OEKEK3RKAHTMO623WTOQIH6BC2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OEKEK3RKAHTMO623WTOQIH6BC2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OEKEK3RKAHTMO623WTOQIH6BC2","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":"b12d02f5e7308c342b2d878e1b09816a11534811f6a3337c87342cdfb518157f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-21T03:41:40Z","title_canon_sha256":"0ff63ad81e4223afb1fd4b38865df4b2d9819b1b63b1d76954c10109c715d270"},"schema_version":"1.0","source":{"id":"1005.3880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3880","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3880v1","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3880","created_at":"2026-05-18T02:07:15Z"},{"alias_kind":"pith_short_12","alias_value":"OEKEK3RKAHTM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OEKEK3RKAHTMO623","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OEKEK3RK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:748cae661b2d4f5184201be2e025c54cc7c689c547525cf3ea707d294d7262c6","target":"graph","created_at":"2026-05-18T02:07:15Z","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":"Renormalization group equations in a two-valley system with valley-splitting and intervalley scattering are derived in the presence of spin-splitting induced by a parallel magnetic field. The relevant amplitudes in different regimes set by the relative strengths of the spin and valley splittings and the intervalley scattering rate are identified. The range of applicability of the standard formula for the magnetoconductance is discussed.","authors_text":"Alexander Punnoose","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-21T03:41:40Z","title":"Renormalization group study of a two-valley system with spin-splitting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3880","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":"sha256:486df10724c3f4686a014305b511621a7df41a63f8be1d36acfaec8b326cbaf7","target":"record","created_at":"2026-05-18T02:07:15Z","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":"b12d02f5e7308c342b2d878e1b09816a11534811f6a3337c87342cdfb518157f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-05-21T03:41:40Z","title_canon_sha256":"0ff63ad81e4223afb1fd4b38865df4b2d9819b1b63b1d76954c10109c715d270"},"schema_version":"1.0","source":{"id":"1005.3880","kind":"arxiv","version":1}},"canonical_sha256":"7114456e2a01e6c77b5bb4dd041fc116aea79b2c92bff09b9c3edc132e5f437a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7114456e2a01e6c77b5bb4dd041fc116aea79b2c92bff09b9c3edc132e5f437a","first_computed_at":"2026-05-18T02:07:15.914640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:15.914640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bprpv9UNUcI/DmH/LVzuXAUXfgV0MDQsY7Dn8XFzEcSoEQzMuCo3yZBINhS5lkUxUDDdN55B1dkJJdqVx0NcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:15.915358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:486df10724c3f4686a014305b511621a7df41a63f8be1d36acfaec8b326cbaf7","sha256:748cae661b2d4f5184201be2e025c54cc7c689c547525cf3ea707d294d7262c6"],"state_sha256":"8ee15489cc0dbd2a1073a5bc0856a8811ca9cc5ff03dc266b4d56b0eb01ba01d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cbdKBb74lAPwG4qkuG9Lus4Zt8uYsY1Oka9eNVQiKG8O2Z4Db5NEcC8S4/doJurzyWY3ifLZHgYEyHslgR1mCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:24:11.245463Z","bundle_sha256":"52b34e516fe350b68ea20700eeb65b0827c82a7b363f82c1708b97741c75a6be"}}