{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GCSCSVP4IW7DQ3DIKS2IHTBUXP","short_pith_number":"pith:GCSCSVP4","canonical_record":{"source":{"id":"1107.4738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-24T09:14:58Z","cross_cats_sorted":[],"title_canon_sha256":"5b925f91ee93e884e3076c5d30f294218d688dcbd49671f557883b116ec8da4c","abstract_canon_sha256":"58358f4a7dfeea2bb1586cfe705f25dc60f3dcf86477564df240bc33e4d53704"},"schema_version":"1.0"},"canonical_sha256":"30a42955fc45be386c6854b483cc34bbe8986acfe21f5c70ca2fe3b73af10cf1","source":{"kind":"arxiv","id":"1107.4738","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4738","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4738v1","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4738","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"GCSCSVP4IW7D","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GCSCSVP4IW7DQ3DI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GCSCSVP4","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GCSCSVP4IW7DQ3DIKS2IHTBUXP","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-24T09:14:58Z","cross_cats_sorted":[],"title_canon_sha256":"5b925f91ee93e884e3076c5d30f294218d688dcbd49671f557883b116ec8da4c","abstract_canon_sha256":"58358f4a7dfeea2bb1586cfe705f25dc60f3dcf86477564df240bc33e4d53704"},"schema_version":"1.0"},"canonical_sha256":"30a42955fc45be386c6854b483cc34bbe8986acfe21f5c70ca2fe3b73af10cf1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:10.952154Z","signature_b64":"O7Z/bgz2t8pbcLmvGTtW2iJAzUq313y390GgY+cMLjJLEmRFJr3jRTOLpR5gljqM7sleJWK3Avt11pBAXcLnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30a42955fc45be386c6854b483cc34bbe8986acfe21f5c70ca2fe3b73af10cf1","last_reissued_at":"2026-05-18T02:01:10.951259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:10.951259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4738","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":"2026-05-18T02:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FXrvl0YsLkMMgSsLvCaAy2c5kAxdNr2qdvqLgmmDMT5yNFd5JcZdqlMYq+uOINb89VAC2sFz8bBlpExsb3NoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:03:49.358833Z"},"content_sha256":"2fceb678316dfa81677b855e22095835cfb9300b807779645376e1d3eebd65ae","schema_version":"1.0","event_id":"sha256:2fceb678316dfa81677b855e22095835cfb9300b807779645376e1d3eebd65ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GCSCSVP4IW7DQ3DIKS2IHTBUXP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Skipping and snake orbits of electrons: singularities and catastrophes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Aavishkar A. Patel, Alberto Cortijo, Francisco Guinea, Nathan Davies, Vadim Cheianov, Vladimir I. Fal'ko","submitted_at":"2011-07-24T09:14:58Z","abstract_excerpt":"Near the sample edge, or a sharp magnetic field step the drift of two-dimensional electrons in a magnetic field has the form of skipping/snake orbits. We show that families of skipping/snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps and cusp triplets, and, in one extreme case, a section of the batterfly bifurcation. Periodic appearance of singularities along the $\\pm B$-interface leads to the magneto-oscillations of nonlocal conductance in multi-terminal electronic devices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4738","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":"2026-05-18T02:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uzsNq7HoWPDu6AtHjs+eeQZ4YgqYTsBxZjTruac0Lt7KYXNXafEgOBBdjwHCJ/brMLQo87thhPfHOonLs4SHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T07:03:49.359179Z"},"content_sha256":"205e233a613ddfea68c019b56ada2ffbe4d5781a1adcd5c32464423febef3493","schema_version":"1.0","event_id":"sha256:205e233a613ddfea68c019b56ada2ffbe4d5781a1adcd5c32464423febef3493"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/bundle.json","state_url":"https://pith.science/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/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":"2026-05-21T07:03:49Z","links":{"resolver":"https://pith.science/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP","bundle":"https://pith.science/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/bundle.json","state":"https://pith.science/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCSCSVP4IW7DQ3DIKS2IHTBUXP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GCSCSVP4IW7DQ3DIKS2IHTBUXP","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":"58358f4a7dfeea2bb1586cfe705f25dc60f3dcf86477564df240bc33e4d53704","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-24T09:14:58Z","title_canon_sha256":"5b925f91ee93e884e3076c5d30f294218d688dcbd49671f557883b116ec8da4c"},"schema_version":"1.0","source":{"id":"1107.4738","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4738","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4738v1","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4738","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"GCSCSVP4IW7D","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GCSCSVP4IW7DQ3DI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GCSCSVP4","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:205e233a613ddfea68c019b56ada2ffbe4d5781a1adcd5c32464423febef3493","target":"graph","created_at":"2026-05-18T02:01:10Z","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":"Near the sample edge, or a sharp magnetic field step the drift of two-dimensional electrons in a magnetic field has the form of skipping/snake orbits. We show that families of skipping/snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps and cusp triplets, and, in one extreme case, a section of the batterfly bifurcation. Periodic appearance of singularities along the $\\pm B$-interface leads to the magneto-oscillations of nonlocal conductance in multi-terminal electronic devices.","authors_text":"Aavishkar A. Patel, Alberto Cortijo, Francisco Guinea, Nathan Davies, Vadim Cheianov, Vladimir I. Fal'ko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-24T09:14:58Z","title":"Skipping and snake orbits of electrons: singularities and catastrophes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4738","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":"sha256:2fceb678316dfa81677b855e22095835cfb9300b807779645376e1d3eebd65ae","target":"record","created_at":"2026-05-18T02:01:10Z","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":"58358f4a7dfeea2bb1586cfe705f25dc60f3dcf86477564df240bc33e4d53704","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-24T09:14:58Z","title_canon_sha256":"5b925f91ee93e884e3076c5d30f294218d688dcbd49671f557883b116ec8da4c"},"schema_version":"1.0","source":{"id":"1107.4738","kind":"arxiv","version":1}},"canonical_sha256":"30a42955fc45be386c6854b483cc34bbe8986acfe21f5c70ca2fe3b73af10cf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30a42955fc45be386c6854b483cc34bbe8986acfe21f5c70ca2fe3b73af10cf1","first_computed_at":"2026-05-18T02:01:10.951259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:10.951259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O7Z/bgz2t8pbcLmvGTtW2iJAzUq313y390GgY+cMLjJLEmRFJr3jRTOLpR5gljqM7sleJWK3Avt11pBAXcLnAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:10.952154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4738","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fceb678316dfa81677b855e22095835cfb9300b807779645376e1d3eebd65ae","sha256:205e233a613ddfea68c019b56ada2ffbe4d5781a1adcd5c32464423febef3493"],"state_sha256":"3e7716cc80ae2e402e6fc44a99ac61095da8f59439cede24a77c8fcf5e99dbf7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LJJDHxmZCmmclXOH7ACgUBUM5/sN6JOq9cgvEbywE6QVsZisxsOkJtDQRxCTvXdQygk48EO5KNMbsOrLHC70BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T07:03:49.361291Z","bundle_sha256":"7af86c9f9a11ba7df7297fce084914b475d743737bedc30db8f9ef55b387f851"}}