{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YR3WWJIJH7QLWTR2WKCZUUP3NA","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":"0b7d65f35780bb34b49bbe84ec5c7acb513a57049bcd4042537da6656056c710","cross_cats_sorted":["math-ph","math.MP","physics.chem-ph","physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-18T00:20:45Z","title_canon_sha256":"bbd0f5af805bc60c71f85a050521ea773415318815dd2180d519f743a2cd9039"},"schema_version":"1.0","source":{"id":"2606.19664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19664","created_at":"2026-06-19T16:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19664v1","created_at":"2026-06-19T16:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19664","created_at":"2026-06-19T16:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"YR3WWJIJH7QL","created_at":"2026-06-19T16:12:31Z"},{"alias_kind":"pith_short_16","alias_value":"YR3WWJIJH7QLWTR2","created_at":"2026-06-19T16:12:31Z"},{"alias_kind":"pith_short_8","alias_value":"YR3WWJIJ","created_at":"2026-06-19T16:12:31Z"}],"graph_snapshots":[{"event_id":"sha256:8a5c4a998696b44c472bac27119ee19a653113ff9443d43cada505c3cb16fdb0","target":"graph","created_at":"2026-06-19T16:12:31Z","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/2606.19664/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reconstruct unitary quantum dynamics from a minimal axiomatic foundation built on Hilbert-space observables and isospectral evolution. The only dynamical assumption is that physical time evolution is a continuous one-parameter flow of Hermitian observables that preserves their spectra, i.e. the possible outcomes of measurement. We show that this assumption is already sufficient to force the Lax form of quantum dynamics. The Heisenberg equation, the time-dependent and time-independent Schr\\\"odinger equations, conservation laws, and good quantum numbers then follow as theorems rather than pos","authors_text":"P\\'eter Szab\\'o","cross_cats":["math-ph","math.MP","physics.chem-ph","physics.hist-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-18T00:20:45Z","title":"Quantum Dynamics from Lax Pair Theory: A Reconstruction from Spectrum Preservation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19664","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:bce2df14b0d1e6527cf1bc991a93ccdf1a7e9542b7ef36dd175d0e37c08ac387","target":"record","created_at":"2026-06-19T16:12:31Z","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":"0b7d65f35780bb34b49bbe84ec5c7acb513a57049bcd4042537da6656056c710","cross_cats_sorted":["math-ph","math.MP","physics.chem-ph","physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-18T00:20:45Z","title_canon_sha256":"bbd0f5af805bc60c71f85a050521ea773415318815dd2180d519f743a2cd9039"},"schema_version":"1.0","source":{"id":"2606.19664","kind":"arxiv","version":1}},"canonical_sha256":"c4776b25093fe0bb4e3ab2859a51fb6804a2e62a7e0eb81abe685eb455794f14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4776b25093fe0bb4e3ab2859a51fb6804a2e62a7e0eb81abe685eb455794f14","first_computed_at":"2026-06-19T16:12:31.616265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:31.616265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vbaSSxiNh3fosdaonfkhvJ7TrkvA9Y8Nx/PcwV0gz3uiJHZ9Fnulx/pQ7S1HLJ3RELOWS8BvXQYAXie7gTyYDQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:31.616631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bce2df14b0d1e6527cf1bc991a93ccdf1a7e9542b7ef36dd175d0e37c08ac387","sha256:8a5c4a998696b44c472bac27119ee19a653113ff9443d43cada505c3cb16fdb0"],"state_sha256":"1eae90a59df43c8623aa620ddbe935d123014e38d4dcaaee353472572ed1f177"}