{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:EKYQL4NPFV2JMPMFE2TI734J7O","short_pith_number":"pith:EKYQL4NP","canonical_record":{"source":{"id":"2103.08943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-16T10:03:23Z","cross_cats_sorted":["cond-mat.supr-con","nlin.CD"],"title_canon_sha256":"4586594ac3cdf0d6fae534258c7259645cbadc236f3d7739951455d0cfb9bfba","abstract_canon_sha256":"31603e1a3aafb510ab6a89ed3de1e740806ceb1c1e03ef26bfa4b5b8ba4f3426"},"schema_version":"1.0"},"canonical_sha256":"22b105f1af2d74963d8526a68fef89fb8ff8d5baee0732de661f53bc46241b80","source":{"kind":"arxiv","id":"2103.08943","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.08943","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"2103.08943v1","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08943","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"EKYQL4NPFV2J","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_16","alias_value":"EKYQL4NPFV2JMPMF","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_8","alias_value":"EKYQL4NP","created_at":"2026-07-05T02:23:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:EKYQL4NPFV2JMPMFE2TI734J7O","target":"record","payload":{"canonical_record":{"source":{"id":"2103.08943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-16T10:03:23Z","cross_cats_sorted":["cond-mat.supr-con","nlin.CD"],"title_canon_sha256":"4586594ac3cdf0d6fae534258c7259645cbadc236f3d7739951455d0cfb9bfba","abstract_canon_sha256":"31603e1a3aafb510ab6a89ed3de1e740806ceb1c1e03ef26bfa4b5b8ba4f3426"},"schema_version":"1.0"},"canonical_sha256":"22b105f1af2d74963d8526a68fef89fb8ff8d5baee0732de661f53bc46241b80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:23:33.449332Z","signature_b64":"vtchpYKY1lnEqUmwwrmum0J4x04kjbZkwgrrvq28gGLG7HKRTtLb5gsbG0wHARAqlleDXIWRlIGEDA6FI+BXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22b105f1af2d74963d8526a68fef89fb8ff8d5baee0732de661f53bc46241b80","last_reissued_at":"2026-07-05T02:23:33.448980Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:23:33.448980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.08943","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":"2026-07-05T02:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6PEOf/JRomb4sKY4gwaJfDo5rSS4i8Jo0fLVcEIW2xLGmBd34btiM7rfrcOA399o5UzibkQSMOfB+C66GosWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:45:24.077178Z"},"content_sha256":"89a43ee513ac505dbaa891ed26f440af68895c7b00dfa0eba4f33d0466b0ebf2","schema_version":"1.0","event_id":"sha256:89a43ee513ac505dbaa891ed26f440af68895c7b00dfa0eba4f33d0466b0ebf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:EKYQL4NPFV2JMPMFE2TI734J7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Branched Flow to Superwires in Periodic Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Alvar Daza, Anton M. Graf, Eric J. Heller, Esa R\\\"as\\\"anen","submitted_at":"2021-03-16T10:03:23Z","abstract_excerpt":"We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brilloiun zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires, but rather indirectly and more subtly by dynamical stability. We term these superwires, since they are associated with a superlattice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08943","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/2103.08943/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":"2026-07-05T02:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOm+iH3T/9weDnh9a0jE7T68S/IWME3lNFfbXiXmidWLrbZNwggYjh0/IkYiMAd9H3iiwOh2eW3N3OGj2EnfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T13:45:24.077570Z"},"content_sha256":"4b59907ed8ba938c61a2f2e681eebf066b2149bbc25635e8462a643489ee95ff","schema_version":"1.0","event_id":"sha256:4b59907ed8ba938c61a2f2e681eebf066b2149bbc25635e8462a643489ee95ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EKYQL4NPFV2JMPMFE2TI734J7O/bundle.json","state_url":"https://pith.science/pith/EKYQL4NPFV2JMPMFE2TI734J7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EKYQL4NPFV2JMPMFE2TI734J7O/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":"2026-07-06T13:45:24Z","links":{"resolver":"https://pith.science/pith/EKYQL4NPFV2JMPMFE2TI734J7O","bundle":"https://pith.science/pith/EKYQL4NPFV2JMPMFE2TI734J7O/bundle.json","state":"https://pith.science/pith/EKYQL4NPFV2JMPMFE2TI734J7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EKYQL4NPFV2JMPMFE2TI734J7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EKYQL4NPFV2JMPMFE2TI734J7O","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":"31603e1a3aafb510ab6a89ed3de1e740806ceb1c1e03ef26bfa4b5b8ba4f3426","cross_cats_sorted":["cond-mat.supr-con","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-16T10:03:23Z","title_canon_sha256":"4586594ac3cdf0d6fae534258c7259645cbadc236f3d7739951455d0cfb9bfba"},"schema_version":"1.0","source":{"id":"2103.08943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.08943","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"2103.08943v1","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08943","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"EKYQL4NPFV2J","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_16","alias_value":"EKYQL4NPFV2JMPMF","created_at":"2026-07-05T02:23:33Z"},{"alias_kind":"pith_short_8","alias_value":"EKYQL4NP","created_at":"2026-07-05T02:23:33Z"}],"graph_snapshots":[{"event_id":"sha256:4b59907ed8ba938c61a2f2e681eebf066b2149bbc25635e8462a643489ee95ff","target":"graph","created_at":"2026-07-05T02:23:33Z","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/2103.08943/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brilloiun zones. Branched flow appears at wavelengths shorter than the typical length scale of the ordered periodic structure and for energies above the potential barrier. The strongest branches remain stable indefinitely and may create linear dynamical channels, wherein waves are not confined directly by potential walls as electrons in ordinary wires, but rather indirectly and more subtly by dynamical stability. We term these superwires, since they are associated with a superlattice.","authors_text":"Alvar Daza, Anton M. Graf, Eric J. Heller, Esa R\\\"as\\\"anen","cross_cats":["cond-mat.supr-con","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-16T10:03:23Z","title":"From Branched Flow to Superwires in Periodic Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08943","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":"sha256:89a43ee513ac505dbaa891ed26f440af68895c7b00dfa0eba4f33d0466b0ebf2","target":"record","created_at":"2026-07-05T02:23:33Z","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":"31603e1a3aafb510ab6a89ed3de1e740806ceb1c1e03ef26bfa4b5b8ba4f3426","cross_cats_sorted":["cond-mat.supr-con","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-16T10:03:23Z","title_canon_sha256":"4586594ac3cdf0d6fae534258c7259645cbadc236f3d7739951455d0cfb9bfba"},"schema_version":"1.0","source":{"id":"2103.08943","kind":"arxiv","version":1}},"canonical_sha256":"22b105f1af2d74963d8526a68fef89fb8ff8d5baee0732de661f53bc46241b80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22b105f1af2d74963d8526a68fef89fb8ff8d5baee0732de661f53bc46241b80","first_computed_at":"2026-07-05T02:23:33.448980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:23:33.448980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtchpYKY1lnEqUmwwrmum0J4x04kjbZkwgrrvq28gGLG7HKRTtLb5gsbG0wHARAqlleDXIWRlIGEDA6FI+BXBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:23:33.449332Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.08943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89a43ee513ac505dbaa891ed26f440af68895c7b00dfa0eba4f33d0466b0ebf2","sha256:4b59907ed8ba938c61a2f2e681eebf066b2149bbc25635e8462a643489ee95ff"],"state_sha256":"ae37e9ae2a67336c1bf80d504068c269453e421088d080f78cfcac73707b743e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KnTmJ0SZ4kPd7pBZS6m+UCYLYhYwR+2DZh45C8Ewi2Xmz3GCIThrsXbVZvz/5zRhgJ2wSTiS3Zxsl3/ZS4srBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T13:45:24.079561Z","bundle_sha256":"8aea60436c0ffe587be4937650e03bfa62556f48b514320c01b8cf20b1f81590"}}