{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:TD7X7JNYLIH476WJNRCRSRAKPC","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":"9134c789f49a6c347fc3f02ccc2fb171e719863635b3ee77408f3cbc39a7627e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-09-15T09:09:12Z","title_canon_sha256":"c175677822b42391a2c69e6cf5bd00c938ae4e9584162545aca7490a022ee4e6"},"schema_version":"1.0","source":{"id":"quant-ph/0409086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0409086","created_at":"2026-05-18T04:19:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0409086v2","created_at":"2026-05-18T04:19:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0409086","created_at":"2026-05-18T04:19:02Z"},{"alias_kind":"pith_short_12","alias_value":"TD7X7JNYLIH4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"TD7X7JNYLIH476WJ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"TD7X7JNY","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:767a95f2dd675617ba892158a4b067388cdb09ed8d349e19397e29c219f00957","target":"graph","created_at":"2026-05-18T04:19:02Z","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 measure of distinguishability between two neighboring preparations of a physical system by a measurement apparatus naturally defines the line element of the preparation space of the system. We point out that quantum mechanics can be derived from the invariance of this line element in the canonical formulation. The canonical formulation of quantum statistical mechanics is also discussed.","authors_text":"Mohammad Mehrafarin","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-09-15T09:09:12Z","title":"A geometric approach to the canonical reformulation of quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0409086","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:db2fc83e7a77f4a3cad37b27cb0feb4afaa760912d5b44d0b3503282deca8cb6","target":"record","created_at":"2026-05-18T04:19:02Z","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":"9134c789f49a6c347fc3f02ccc2fb171e719863635b3ee77408f3cbc39a7627e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-09-15T09:09:12Z","title_canon_sha256":"c175677822b42391a2c69e6cf5bd00c938ae4e9584162545aca7490a022ee4e6"},"schema_version":"1.0","source":{"id":"quant-ph/0409086","kind":"arxiv","version":2}},"canonical_sha256":"98ff7fa5b85a0fcffac96c4519440a788434e870a77fefbb2bcea2c360ba8137","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98ff7fa5b85a0fcffac96c4519440a788434e870a77fefbb2bcea2c360ba8137","first_computed_at":"2026-05-18T04:19:02.302289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:02.302289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bR0ymmZZMkvjerV3YgQqT8kknh8RvhFxhGNdIBfXRNv9JcYxYjcLixokzIL++Y/RFMa6fr1jAIlm7JzAFVxiDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:02.302758Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0409086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db2fc83e7a77f4a3cad37b27cb0feb4afaa760912d5b44d0b3503282deca8cb6","sha256:767a95f2dd675617ba892158a4b067388cdb09ed8d349e19397e29c219f00957"],"state_sha256":"073bb9f0fca15f4eda31cd371300e27923a0839832a76bc6bc97854f4719d71a"}