{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OM6UK6NP564WM2J42BN66KAVEU","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":"6a3baf04a23ff58503c46d69320368ce52e3b627dcc40a35b2cf2b331853096f","cross_cats_sorted":["math.AP","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-08-12T13:43:21Z","title_canon_sha256":"09c091dbc062bf865366d1f692d812f6c2c14ea5e9a888586f5ea1ed0bfb0ef9"},"schema_version":"1.0","source":{"id":"2308.06569","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.06569","created_at":"2026-07-05T07:32:21Z"},{"alias_kind":"arxiv_version","alias_value":"2308.06569v2","created_at":"2026-07-05T07:32:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.06569","created_at":"2026-07-05T07:32:21Z"},{"alias_kind":"pith_short_12","alias_value":"OM6UK6NP564W","created_at":"2026-07-05T07:32:21Z"},{"alias_kind":"pith_short_16","alias_value":"OM6UK6NP564WM2J4","created_at":"2026-07-05T07:32:21Z"},{"alias_kind":"pith_short_8","alias_value":"OM6UK6NP","created_at":"2026-07-05T07:32:21Z"}],"graph_snapshots":[{"event_id":"sha256:4a0f5bded72b7fd4ff5efc273e1b2ffe8c2a8ddd8452a52c2be884bf36173527","target":"graph","created_at":"2026-07-05T07:32:21Z","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/2308.06569/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we obtain a microscopic derivation of Gibbs measures for the focusing quintic nonlinear Schr\\\"{o}dinger equation (NLS) on $\\mathbb{T}$ from many-body quantum Gibbs states. On the quantum many-body level, the quintic nonlinearity corresponds to a three-body interaction. This is a continuation of our previous work. In the aforementioned work, we studied the cubic problem, which corresponds to a two-body interaction on the quantum many-body level.\n  In our setup, we truncate the mass of the classical free field in the classical setting and the rescaled particle number in the quantum","authors_text":"Andrew Rout, Vedran Sohinger","cross_cats":["math.AP","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-08-12T13:43:21Z","title":"A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schr\\\"{o}dinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.06569","kind":"arxiv","version":2},"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":"sha256:4ea7945ded1b84955ea0a8dd4381d7abbe492b723198454bc172d4d6944b7f0c","target":"record","created_at":"2026-07-05T07:32:21Z","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":"6a3baf04a23ff58503c46d69320368ce52e3b627dcc40a35b2cf2b331853096f","cross_cats_sorted":["math.AP","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-08-12T13:43:21Z","title_canon_sha256":"09c091dbc062bf865366d1f692d812f6c2c14ea5e9a888586f5ea1ed0bfb0ef9"},"schema_version":"1.0","source":{"id":"2308.06569","kind":"arxiv","version":2}},"canonical_sha256":"733d4579afefb966693cd05bef2815251fb51643ff0d44a28fc8fa099cec0696","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"733d4579afefb966693cd05bef2815251fb51643ff0d44a28fc8fa099cec0696","first_computed_at":"2026-07-05T07:32:21.907608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:32:21.907608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uve/RN2anaY/rWu1LdxV2mRLWgMUIfwBA6DnqvOa8j4ixcpTKRkVU59O53lgDsRhLii2pjc72kozLgOTJ/LHBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:32:21.908074Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.06569","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ea7945ded1b84955ea0a8dd4381d7abbe492b723198454bc172d4d6944b7f0c","sha256:4a0f5bded72b7fd4ff5efc273e1b2ffe8c2a8ddd8452a52c2be884bf36173527"],"state_sha256":"08d63387542f2df18bce4939c96288a4745e978b323d83b9c53f692ea6ecb3ff"}