{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:V42TFGM5ESH55X5FZ2GIK5EPCV","short_pith_number":"pith:V42TFGM5","canonical_record":{"source":{"id":"1208.0258","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T15:51:31Z","cross_cats_sorted":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"title_canon_sha256":"ea39a830405ea07d7e2a2371e800c0d6c6a8afecf12962a928af90644e20b1f7","abstract_canon_sha256":"6b7045ccf847296349b2fa1baaec00b70b8ec4f33bfefab40230c8bc126c6987"},"schema_version":"1.0"},"canonical_sha256":"af3532999d248fdedfa5ce8c85748f156f8a6c0f8f135198255c5406a7f43fb1","source":{"kind":"arxiv","id":"1208.0258","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0258","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0258v5","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0258","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"V42TFGM5ESH5","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"V42TFGM5ESH55X5F","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"V42TFGM5","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:V42TFGM5ESH55X5FZ2GIK5EPCV","target":"record","payload":{"canonical_record":{"source":{"id":"1208.0258","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T15:51:31Z","cross_cats_sorted":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"title_canon_sha256":"ea39a830405ea07d7e2a2371e800c0d6c6a8afecf12962a928af90644e20b1f7","abstract_canon_sha256":"6b7045ccf847296349b2fa1baaec00b70b8ec4f33bfefab40230c8bc126c6987"},"schema_version":"1.0"},"canonical_sha256":"af3532999d248fdedfa5ce8c85748f156f8a6c0f8f135198255c5406a7f43fb1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:55.753773Z","signature_b64":"txPoX7B4je9zgJHmcyNRPgppuGoAmwcvEvmcBbFuOihkhYQnvqi3YDwQ6cu19HmnbDnwrTviu4F8K3SLkLLDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af3532999d248fdedfa5ce8c85748f156f8a6c0f8f135198255c5406a7f43fb1","last_reissued_at":"2026-05-18T00:17:55.753076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:55.753076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.0258","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KEYX5Ze5eBrsTml4+0Z4fFvIoqFsBQv84rM73bZf81iFeQEzmnc0uMpGENOZfTS0Fb5CT7gblrqf5Iq5i44DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:15:37.999461Z"},"content_sha256":"7c0e86bf3e145f3e70fea2921b4ef2bbe132ce7a2a55a13542fe18d29f442ed4","schema_version":"1.0","event_id":"sha256:7c0e86bf3e145f3e70fea2921b4ef2bbe132ce7a2a55a13542fe18d29f442ed4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:V42TFGM5ESH55X5FZ2GIK5EPCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalization of Uncertainty Relation for Quantum and Stochastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"primary_cat":"quant-ph","authors_text":"T. Kodama, T. Koide","submitted_at":"2012-08-01T15:51:31Z","abstract_excerpt":"The generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This relation not only reproduces the well-known inequality in quantum mechanics but also is applicable to the Gross-Pitaevskii equation and the Navier-Stokes-Fourier equation, showing that the finite minimum uncertainty between the position and the momentum is not an inherent property of quantum mechanics but a common feature of stochastic systems. We further discuss the possible implication of the present study in discussing the application of the hydrodynami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0258","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HcJ2AOdTRalyVaYCMVFHXCC1hPFQgSsNoC56rGxPjlEQCoWVYYCuYGGnwyFKTmsOmsBIUV0kKxrpFxoOKEA1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:15:37.999794Z"},"content_sha256":"d8108f14bd708df379e82b5a76f452408d949200fd68986c5e6beb7013c03090","schema_version":"1.0","event_id":"sha256:d8108f14bd708df379e82b5a76f452408d949200fd68986c5e6beb7013c03090"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/bundle.json","state_url":"https://pith.science/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-07T12:15:38Z","links":{"resolver":"https://pith.science/pith/V42TFGM5ESH55X5FZ2GIK5EPCV","bundle":"https://pith.science/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/bundle.json","state":"https://pith.science/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V42TFGM5ESH55X5FZ2GIK5EPCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:V42TFGM5ESH55X5FZ2GIK5EPCV","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":"6b7045ccf847296349b2fa1baaec00b70b8ec4f33bfefab40230c8bc126c6987","cross_cats_sorted":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T15:51:31Z","title_canon_sha256":"ea39a830405ea07d7e2a2371e800c0d6c6a8afecf12962a928af90644e20b1f7"},"schema_version":"1.0","source":{"id":"1208.0258","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0258","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0258v5","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0258","created_at":"2026-05-18T00:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"V42TFGM5ESH5","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"V42TFGM5ESH55X5F","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"V42TFGM5","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:d8108f14bd708df379e82b5a76f452408d949200fd68986c5e6beb7013c03090","target":"graph","created_at":"2026-05-18T00:17:55Z","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 generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This relation not only reproduces the well-known inequality in quantum mechanics but also is applicable to the Gross-Pitaevskii equation and the Navier-Stokes-Fourier equation, showing that the finite minimum uncertainty between the position and the momentum is not an inherent property of quantum mechanics but a common feature of stochastic systems. We further discuss the possible implication of the present study in discussing the application of the hydrodynami","authors_text":"T. Kodama, T. Koide","cross_cats":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T15:51:31Z","title":"Generalization of Uncertainty Relation for Quantum and Stochastic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0258","kind":"arxiv","version":5},"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":"sha256:7c0e86bf3e145f3e70fea2921b4ef2bbe132ce7a2a55a13542fe18d29f442ed4","target":"record","created_at":"2026-05-18T00:17:55Z","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":"6b7045ccf847296349b2fa1baaec00b70b8ec4f33bfefab40230c8bc126c6987","cross_cats_sorted":["cond-mat.stat-mech","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T15:51:31Z","title_canon_sha256":"ea39a830405ea07d7e2a2371e800c0d6c6a8afecf12962a928af90644e20b1f7"},"schema_version":"1.0","source":{"id":"1208.0258","kind":"arxiv","version":5}},"canonical_sha256":"af3532999d248fdedfa5ce8c85748f156f8a6c0f8f135198255c5406a7f43fb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af3532999d248fdedfa5ce8c85748f156f8a6c0f8f135198255c5406a7f43fb1","first_computed_at":"2026-05-18T00:17:55.753076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:55.753076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"txPoX7B4je9zgJHmcyNRPgppuGoAmwcvEvmcBbFuOihkhYQnvqi3YDwQ6cu19HmnbDnwrTviu4F8K3SLkLLDBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:55.753773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0258","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c0e86bf3e145f3e70fea2921b4ef2bbe132ce7a2a55a13542fe18d29f442ed4","sha256:d8108f14bd708df379e82b5a76f452408d949200fd68986c5e6beb7013c03090"],"state_sha256":"322f1702f36f065fca00b71270cf08691818d3e2cff020d0e33c1193e5171826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5L8JWUvYkQn9NP0w8zCj98Y3FLRM6uZL/5TCAGv2aBRYSx+aJGMIX32EmDraWqylFkLbbSINUlKTvgxH0Ww4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:15:38.001553Z","bundle_sha256":"97c125763462af1f5afeb4f325592409e9fdfa23f6145fea996c4cbc3a275c96"}}