{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:W4BPRBHG5A2RIFPA3W2WIEXWOQ","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":"b580d7bb0b3c4e6bffb333db9f62eac52d273600730425ac2c367f73e4c081f3","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-14T10:47:30Z","title_canon_sha256":"280f1c36d27174a67a8f665936aea54242f3896fe1b07733d155328b7997c657"},"schema_version":"1.0","source":{"id":"1804.05204","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05204","created_at":"2026-05-18T00:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05204v2","created_at":"2026-05-18T00:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05204","created_at":"2026-05-18T00:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"W4BPRBHG5A2R","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"W4BPRBHG5A2RIFPA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"W4BPRBHG","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:296fb7d7b825d2c4862d9e9848373b0ba2941cfa180ba15b47595cbc8557255d","target":"graph","created_at":"2026-05-18T00:12:58Z","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":"This paper is about the surprising connection between the Fourier heat equation and the Schr\\\"odinger wave equation. In fact, if the independent \"time\" variable in the heat equation is replaced by the time variable multiplied by $i=\\sqrt{-1}$, the heat equation becomes the Schr\\\"odinger equation. Two quite different physical phenomena are put in close connection: the heat diffusion in a material and the probability amplitude of particles in an atom. It is a fact of life that the movements of a small particle floating randomly in a fluid, the well-known Brownian motion, is regulated by the Four","authors_text":"Alfonso Farina, Marco Frasca","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-14T10:47:30Z","title":"Parcels of Universe or why Schr\\\"odinger and Fourier are so relatives?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05204","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":"sha256:4e926039c0818b35d6545f7fd2c58bb506a4ddb0e5e990eb2cb79b75f2ef954b","target":"record","created_at":"2026-05-18T00:12:58Z","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":"b580d7bb0b3c4e6bffb333db9f62eac52d273600730425ac2c367f73e4c081f3","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-04-14T10:47:30Z","title_canon_sha256":"280f1c36d27174a67a8f665936aea54242f3896fe1b07733d155328b7997c657"},"schema_version":"1.0","source":{"id":"1804.05204","kind":"arxiv","version":2}},"canonical_sha256":"b702f884e6e8351415e0ddb56412f674338a9a9d65b86e7a6c7c60feabf3ed52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b702f884e6e8351415e0ddb56412f674338a9a9d65b86e7a6c7c60feabf3ed52","first_computed_at":"2026-05-18T00:12:58.428886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:58.428886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UdeRhXSw+Og6LFWX+uFQXEa4YES9lhh9mXJD7/3El5d5lEdZRTqua7reSAyQ8aZfQPL3tfCpLJpKAFAKveysBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:58.429440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05204","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e926039c0818b35d6545f7fd2c58bb506a4ddb0e5e990eb2cb79b75f2ef954b","sha256:296fb7d7b825d2c4862d9e9848373b0ba2941cfa180ba15b47595cbc8557255d"],"state_sha256":"6f651187a2cd72ccd972a0892cdf848e84775455f65f564b0938d1bcd78d5258"}