{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:K456OJAXWQ2JV62OTKVVI3KWFH","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":"b4d3b54727f8314ba2353cebd4c3d7a82e6a7d3c26da08422fadef5c69867b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-16T16:14:32Z","title_canon_sha256":"a3c250652cc6435dce9e7db5dfe3a7ea23e0a517cd1632fde1cb104a5a8afaf8"},"schema_version":"1.0","source":{"id":"1801.05336","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05336","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05336v1","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05336","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"K456OJAXWQ2J","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"K456OJAXWQ2JV62O","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"K456OJAX","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:424a7dbfa4c8ac83160df9b69571cfcc19d7be56915dc3b820967ff824f09fb6","target":"graph","created_at":"2026-05-18T00:25:47Z","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":"Motivated by the study of breathers in the disordered Discrete Non Linear Schr\\\"odinger equation, we study the uniform probability over the intersection of a simplex and an ellipsoid in $n$ dimensions, with quenched disorder in the definition of either the simplex or the ellipsoid. Unless the disorder is too strong, the phase diagram looks like the one without disorder, with a transition separating a fluid phase, where all variables have the same order of magnitude, and a condensed phase, where one variable is much larger than the others. We then show that the condensed phase exhibits \"interme","authors_text":"Julien Barr\\'e, L\\'eo Mangeolle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-16T16:14:32Z","title":"Condensation with two constraints and disordered Discrete Non Linear Schr\\\"odinger breathers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05336","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":"sha256:7ab743e70d0de933f85ad1469ede3f276a98306d3278c1014f8cfea5b4dfb2ba","target":"record","created_at":"2026-05-18T00:25:47Z","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":"b4d3b54727f8314ba2353cebd4c3d7a82e6a7d3c26da08422fadef5c69867b8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-16T16:14:32Z","title_canon_sha256":"a3c250652cc6435dce9e7db5dfe3a7ea23e0a517cd1632fde1cb104a5a8afaf8"},"schema_version":"1.0","source":{"id":"1801.05336","kind":"arxiv","version":1}},"canonical_sha256":"573be72417b4349afb4e9aab546d5629c95d05bfa9f8d4ad8992b9304c66cde9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"573be72417b4349afb4e9aab546d5629c95d05bfa9f8d4ad8992b9304c66cde9","first_computed_at":"2026-05-18T00:25:47.121291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:47.121291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EoMgeDQB+n4L0zcocm6AbPcvjm8VrJa1KPbouaOM8BLkd/e4i3g5VqZXEATdoRRaBkuIBHzbRMybGT7lUMyICw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:47.122003Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05336","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ab743e70d0de933f85ad1469ede3f276a98306d3278c1014f8cfea5b4dfb2ba","sha256:424a7dbfa4c8ac83160df9b69571cfcc19d7be56915dc3b820967ff824f09fb6"],"state_sha256":"c246957d582279646436a0c05fc9e7337027dd177c5239989abce512d31eb78a"}