{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:L6S4NW7Z5QF55TPMONTPWW36CF","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":"61b0a72ac648c36da3361b6c9c47be7abe8ca6c813cd7c5f7c4a65352ebb8629","cross_cats_sorted":["cond-mat.mes-hall","hep-th","nlin.SI"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-06-29T18:33:57Z","title_canon_sha256":"7a1a45724e7cb8e61cf5505f4d7f3c17f14e6d6de4bd5b745e1b49a51fa9ef46"},"schema_version":"1.0","source":{"id":"cond-mat/0606778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606778","created_at":"2026-07-04T14:58:06Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606778v1","created_at":"2026-07-04T14:58:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606778","created_at":"2026-07-04T14:58:06Z"},{"alias_kind":"pith_short_12","alias_value":"L6S4NW7Z5QF5","created_at":"2026-07-04T14:58:06Z"},{"alias_kind":"pith_short_16","alias_value":"L6S4NW7Z5QF55TPM","created_at":"2026-07-04T14:58:06Z"},{"alias_kind":"pith_short_8","alias_value":"L6S4NW7Z","created_at":"2026-07-04T14:58:06Z"}],"graph_snapshots":[{"event_id":"sha256:f54a1352cd1e40b910e13a1be0fe193dc606e330b17763ba333f9e081fd4db9c","target":"graph","created_at":"2026-07-04T14:58:06Z","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/cond-mat/0606778/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the curvature of the electronic spectrum near the Fermi energy. As is typical for non-linear systems, propagating wave packets are unstable. At finite time shock wave singularities develop, the wave packet collapses, and oscillatory features arise. They evolve into regularly structured localized pulses carrying a fractionally quantized charge - {\\it soliton trains}. We briefly discuss perspectives of observation of Quantum","authors_text":"Alexander G. Abanov, Eldad Bettelheim, Paul Wiegmann","cross_cats":["cond-mat.mes-hall","hep-th","nlin.SI"],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-06-29T18:33:57Z","title":"Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606778","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":"sha256:3a183c0d0ed333bf00564a6fb3ddc3390c2f4552206b93c531a9b08abad5c8fb","target":"record","created_at":"2026-07-04T14:58:06Z","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":"61b0a72ac648c36da3361b6c9c47be7abe8ca6c813cd7c5f7c4a65352ebb8629","cross_cats_sorted":["cond-mat.mes-hall","hep-th","nlin.SI"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-06-29T18:33:57Z","title_canon_sha256":"7a1a45724e7cb8e61cf5505f4d7f3c17f14e6d6de4bd5b745e1b49a51fa9ef46"},"schema_version":"1.0","source":{"id":"cond-mat/0606778","kind":"arxiv","version":1}},"canonical_sha256":"5fa5c6dbf9ec0bdecdec7366fb5b7e116bd2364dca4c1f1ee1f9bba55ca8e089","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fa5c6dbf9ec0bdecdec7366fb5b7e116bd2364dca4c1f1ee1f9bba55ca8e089","first_computed_at":"2026-07-04T14:58:06.843095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:06.843095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Msdc5ZiWNGZpiud5PkvfUcLW9B1N+9d0F2CzHUhcMn2SzyN4QIJBq2bu0fnEM3TYX3DbIYrhM1nLXuz7QGlCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:06.843456Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0606778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a183c0d0ed333bf00564a6fb3ddc3390c2f4552206b93c531a9b08abad5c8fb","sha256:f54a1352cd1e40b910e13a1be0fe193dc606e330b17763ba333f9e081fd4db9c"],"state_sha256":"9b1c4a5f2e3f62477a2682c4ad8c13c171d1dc4284846049091c3376eb835d50"}