{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5WWIBITTJFLDKSDYFVSV3LZVFI","short_pith_number":"pith:5WWIBITT","canonical_record":{"source":{"id":"1409.0574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-01T22:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"684525e1e86c91808e3a6a3cce95ca6ea997fb384146ee1f0ea5bff6271ca224","abstract_canon_sha256":"0c34bd4a73dfa3537ae782482f5865eda2af58078b329c7db2021ab4a6fedb41"},"schema_version":"1.0"},"canonical_sha256":"edac80a27349563548782d655daf352a03a04caa1b07a79aedadf7feaf758473","source":{"kind":"arxiv","id":"1409.0574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0574","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0574v1","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0574","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"pith_short_12","alias_value":"5WWIBITTJFLD","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5WWIBITTJFLDKSDY","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5WWIBITT","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5WWIBITTJFLDKSDYFVSV3LZVFI","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-01T22:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"684525e1e86c91808e3a6a3cce95ca6ea997fb384146ee1f0ea5bff6271ca224","abstract_canon_sha256":"0c34bd4a73dfa3537ae782482f5865eda2af58078b329c7db2021ab4a6fedb41"},"schema_version":"1.0"},"canonical_sha256":"edac80a27349563548782d655daf352a03a04caa1b07a79aedadf7feaf758473","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:46.560408Z","signature_b64":"CwX8n/i60KKsPQUnlFrQB11QHbFW2VmkBlnMzXIgRpjHK3yzUTKR0wqBoqYdfpoyDl+MLTd6t3gGi8kNu5joBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edac80a27349563548782d655daf352a03a04caa1b07a79aedadf7feaf758473","last_reissued_at":"2026-05-18T02:43:46.559953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:46.559953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0574","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":"2026-05-18T02:43:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtlt7xyl/L1HEsYEUISbWlYMrtv1rrjm6/2w+30C0DK+WH6vpKhEnORH5PWxbYCmUJmKc+hnWi6hjF9YtJlAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:13:16.179811Z"},"content_sha256":"3a04edfaf758e1cc0327f1975d84b88c519dbbbf983ddd0cb9f8f58739dad9e1","schema_version":"1.0","event_id":"sha256:3a04edfaf758e1cc0327f1975d84b88c519dbbbf983ddd0cb9f8f58739dad9e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5WWIBITTJFLDKSDYFVSV3LZVFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Piecewise Interference and Stability of Branched Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Bo Liu","submitted_at":"2014-09-01T22:27:09Z","abstract_excerpt":"The defining feature of chaos is its hypersensitivity to small perturbations. However, we report a stability of branched flow against large perturbations where the classical trajectories are chaotic, showing that strong perturbations are largely ignored by the quantum dynamics. The origin of this stability is accounted for by the piecewise nature of the interference, which is largely ignored by the traditional theory of scattering. Incorporating it into our theory, we introduce the notion of piecewise classical stable paths(PCSPs). Our theory shall have implications for many different systems,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0574","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":"2026-05-18T02:43:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rb7n7KcQt9oiu6jJyhlVkoajYPcf7X7yYMBgLSTioOOkf+QzRxcka7yxLeGi76Gd3x/Qmoov7243C4m8fp9ZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:13:16.180614Z"},"content_sha256":"3cb612e7f8bcd7f1109d31fa2b91858316f45b39096c6b16b681bf5e22976f12","schema_version":"1.0","event_id":"sha256:3cb612e7f8bcd7f1109d31fa2b91858316f45b39096c6b16b681bf5e22976f12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/bundle.json","state_url":"https://pith.science/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/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":"2026-06-01T01:13:16Z","links":{"resolver":"https://pith.science/pith/5WWIBITTJFLDKSDYFVSV3LZVFI","bundle":"https://pith.science/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/bundle.json","state":"https://pith.science/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WWIBITTJFLDKSDYFVSV3LZVFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5WWIBITTJFLDKSDYFVSV3LZVFI","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":"0c34bd4a73dfa3537ae782482f5865eda2af58078b329c7db2021ab4a6fedb41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-01T22:27:09Z","title_canon_sha256":"684525e1e86c91808e3a6a3cce95ca6ea997fb384146ee1f0ea5bff6271ca224"},"schema_version":"1.0","source":{"id":"1409.0574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0574","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0574v1","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0574","created_at":"2026-05-18T02:43:46Z"},{"alias_kind":"pith_short_12","alias_value":"5WWIBITTJFLD","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5WWIBITTJFLDKSDY","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5WWIBITT","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:3cb612e7f8bcd7f1109d31fa2b91858316f45b39096c6b16b681bf5e22976f12","target":"graph","created_at":"2026-05-18T02:43:46Z","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 defining feature of chaos is its hypersensitivity to small perturbations. However, we report a stability of branched flow against large perturbations where the classical trajectories are chaotic, showing that strong perturbations are largely ignored by the quantum dynamics. The origin of this stability is accounted for by the piecewise nature of the interference, which is largely ignored by the traditional theory of scattering. Incorporating it into our theory, we introduce the notion of piecewise classical stable paths(PCSPs). Our theory shall have implications for many different systems,","authors_text":"Bo Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-01T22:27:09Z","title":"Piecewise Interference and Stability of Branched Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0574","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":"sha256:3a04edfaf758e1cc0327f1975d84b88c519dbbbf983ddd0cb9f8f58739dad9e1","target":"record","created_at":"2026-05-18T02:43:46Z","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":"0c34bd4a73dfa3537ae782482f5865eda2af58078b329c7db2021ab4a6fedb41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-01T22:27:09Z","title_canon_sha256":"684525e1e86c91808e3a6a3cce95ca6ea997fb384146ee1f0ea5bff6271ca224"},"schema_version":"1.0","source":{"id":"1409.0574","kind":"arxiv","version":1}},"canonical_sha256":"edac80a27349563548782d655daf352a03a04caa1b07a79aedadf7feaf758473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edac80a27349563548782d655daf352a03a04caa1b07a79aedadf7feaf758473","first_computed_at":"2026-05-18T02:43:46.559953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:46.559953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CwX8n/i60KKsPQUnlFrQB11QHbFW2VmkBlnMzXIgRpjHK3yzUTKR0wqBoqYdfpoyDl+MLTd6t3gGi8kNu5joBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:46.560408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a04edfaf758e1cc0327f1975d84b88c519dbbbf983ddd0cb9f8f58739dad9e1","sha256:3cb612e7f8bcd7f1109d31fa2b91858316f45b39096c6b16b681bf5e22976f12"],"state_sha256":"57469e5aa15aceb938ea682b77a7496b6a2fac9a62f703a8fc07a33be1695e3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YA2/AvZxuUiiTaQfll+FilT5f2MPlSKrkHV2LOKq37agX88LDqxa2qyuecyFhGJ2OKdVkIJzs5c67osfgf8GBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:13:16.185363Z","bundle_sha256":"1d48944fb0d7108cf4c687ff8c44b6aad049dc002e01b74d440aa2cf12fbd1fc"}}