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We show that\n  $\\exp(-\\frac{i}{\\hbar}tH)\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0}) =\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ up to an $A$-independent factor. We discuss examples of the states $\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ in quantum mechanics and in quantum field theory (the Chern-Simons states in Yang-Mills theory, Kodama states in quant"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2503.18039","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-23T12:04:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c51272a8490b9867d54ee8a31123b815de87b536aabb89f6ab70a2cc5e2ef04c","abstract_canon_sha256":"27f6e3b6321df1d61e7e20b77502c608714be1ec9cf54505938b4e9b8b2e92d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:25.206060Z","signature_b64":"mNkCdJzrrhvvqOMa5PW+gA+lu8/nmBF5bW8xrmGRZP9R/RgJm2FuA7xD399dnf+kPXkM6pXh6+tiXj/kdNAyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2672f73c69d566c723d7e83aa0023f2d5cf3074184a7427cfa2982639caeea1","last_reissued_at":"2026-07-05T11:23:25.205554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:25.205554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chern-Simons \"ground state\" from the path integral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Z. Haba","submitted_at":"2025-03-23T12:04:29Z","abstract_excerpt":"We consider a path integral representation\n  of the time evolution $\\exp(-\\frac{i}{\\hbar}tH)$ for Lagrangians of the variable $A$ which can be represented in the form (quadratic in $Q$) ${\\cal L}(A)=\\frac{1}{2}Q(A){\\cal M}Q(A)+\\partial_{\\mu}L^{\\mu}$. We show that\n  $\\exp(-\\frac{i}{\\hbar}tH)\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0}) =\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ up to an $A$-independent factor. We discuss examples of the states $\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ in quantum mechanics and in quantum field theory (the Chern-Simons states in Yang-Mills theory, Kodama states in quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18039","kind":"arxiv","version":2},"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/2503.18039/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2503.18039","created_at":"2026-07-05T11:23:25.205612+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.18039v2","created_at":"2026-07-05T11:23:25.205612+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18039","created_at":"2026-07-05T11:23:25.205612+00:00"},{"alias_kind":"pith_short_12","alias_value":"6JTS646GTVLG","created_at":"2026-07-05T11:23:25.205612+00:00"},{"alias_kind":"pith_short_16","alias_value":"6JTS646GTVLGY4R5","created_at":"2026-07-05T11:23:25.205612+00:00"},{"alias_kind":"pith_short_8","alias_value":"6JTS646G","created_at":"2026-07-05T11:23:25.205612+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.19658","citing_title":"Chern-Simons States in $SO(1,n)$ Yang-Mills Gauge Theory of Quantum Gravity","ref_index":41,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L","json":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L.json","graph_json":"https://pith.science/api/pith-number/6JTS646GTVLGY4R5P2B2UABD6L/graph.json","events_json":"https://pith.science/api/pith-number/6JTS646GTVLGY4R5P2B2UABD6L/events.json","paper":"https://pith.science/paper/6JTS646G"},"agent_actions":{"view_html":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L","download_json":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L.json","view_paper":"https://pith.science/paper/6JTS646G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.18039&json=true","fetch_graph":"https://pith.science/api/pith-number/6JTS646GTVLGY4R5P2B2UABD6L/graph.json","fetch_events":"https://pith.science/api/pith-number/6JTS646GTVLGY4R5P2B2UABD6L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L/action/storage_attestation","attest_author":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L/action/author_attestation","sign_citation":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L/action/citation_signature","submit_replication":"https://pith.science/pith/6JTS646GTVLGY4R5P2B2UABD6L/action/replication_record"}},"created_at":"2026-07-05T11:23:25.205612+00:00","updated_at":"2026-07-05T11:23:25.205612+00:00"}