{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IMDVV6F33PS7GIWF5NEUFPADQ7","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":"3f13ff420362d8e2ac36f9c44cc80cfb02470a486e6eb34909619b1f6e2797b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-04-23T12:25:43Z","title_canon_sha256":"a80ace2264ed6e7b3ca622083708d6577e30f4b849c225de0ad3bc4c2849f2f0"},"schema_version":"1.0","source":{"id":"1504.06141","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06141","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06141v3","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06141","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"IMDVV6F33PS7","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IMDVV6F33PS7GIWF","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IMDVV6F3","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:550bbc9feac6a98f6ee81eea692043666ee44c97a901d8ac1550f35c97048385","target":"graph","created_at":"2026-05-18T01:24:08Z","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 total momentum of $N$ interacting bosons or fermions in a cube equipped with periodic boundary conditions is a conserved quantity. Its eigenvalues follow a probability distribution, determined by the thermal equilibrium state. While in non-interacting systems the distribution is normal with variance $\\sim N$, interaction couples the single-particle momenta, so that the distribution of their sum is unpredictable, except for some implications of Galilean invariance. First, we present these implications which are strong in 1D, moderately strong in 2D, and weak in 3D. Then, we speculate about ","authors_text":"Andras Suto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-04-23T12:25:43Z","title":"Total momentum and thermodynamic phases of quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06141","kind":"arxiv","version":3},"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":"sha256:9adc7a79dd30afd97fce2bfbdc8cbe3778a891c69665e0c941941185d19dac4f","target":"record","created_at":"2026-05-18T01:24:08Z","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":"3f13ff420362d8e2ac36f9c44cc80cfb02470a486e6eb34909619b1f6e2797b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-04-23T12:25:43Z","title_canon_sha256":"a80ace2264ed6e7b3ca622083708d6577e30f4b849c225de0ad3bc4c2849f2f0"},"schema_version":"1.0","source":{"id":"1504.06141","kind":"arxiv","version":3}},"canonical_sha256":"43075af8bbdbe5f322c5eb4942bc0387e1cfeee297aebe54f09ddc3e2a5efa0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43075af8bbdbe5f322c5eb4942bc0387e1cfeee297aebe54f09ddc3e2a5efa0c","first_computed_at":"2026-05-18T01:24:08.602068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:08.602068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wL5QGscexiAk4H+OFPChmCq1DZSYmGnpmfNV/RTvRUVuMuqBjujWtli/DRYq4su/cwP6dgDFqUVJ7HaNBe/0DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:08.602806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06141","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9adc7a79dd30afd97fce2bfbdc8cbe3778a891c69665e0c941941185d19dac4f","sha256:550bbc9feac6a98f6ee81eea692043666ee44c97a901d8ac1550f35c97048385"],"state_sha256":"8ead26df128aeb5e171c299f339e51965d523412d3f35c3e368760550d78afb6"}