{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6T4IP6EL3GF7C5VZLQBYQ2PDN3","short_pith_number":"pith:6T4IP6EL","canonical_record":{"source":{"id":"1711.04607","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-10-19T04:24:27Z","cross_cats_sorted":[],"title_canon_sha256":"e279f6362150046e3370eaa0a0ec3325c5439bae51678073825994f65c44df94","abstract_canon_sha256":"10d81199e9f6bfdbaf461c3c31d9a5313f23621c505626059a1af16a1bbe9330"},"schema_version":"1.0"},"canonical_sha256":"f4f887f88bd98bf176b95c038869e36ed23430c6cb8616e723a98e9e411376ee","source":{"kind":"arxiv","id":"1711.04607","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04607","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04607v3","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04607","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"6T4IP6EL3GF7","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6T4IP6EL3GF7C5VZ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6T4IP6EL","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6T4IP6EL3GF7C5VZLQBYQ2PDN3","target":"record","payload":{"canonical_record":{"source":{"id":"1711.04607","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-10-19T04:24:27Z","cross_cats_sorted":[],"title_canon_sha256":"e279f6362150046e3370eaa0a0ec3325c5439bae51678073825994f65c44df94","abstract_canon_sha256":"10d81199e9f6bfdbaf461c3c31d9a5313f23621c505626059a1af16a1bbe9330"},"schema_version":"1.0"},"canonical_sha256":"f4f887f88bd98bf176b95c038869e36ed23430c6cb8616e723a98e9e411376ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:42.053418Z","signature_b64":"LobCbNMsGTRbmqIVAoCqhqeLRLim/d9eiNHsbapfZ0VjN6EBG6pzw3Uy6WGYUvQ2ZEDv2NgPhpixmILawRvIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4f887f88bd98bf176b95c038869e36ed23430c6cb8616e723a98e9e411376ee","last_reissued_at":"2026-05-17T23:39:42.052669Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:42.052669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.04607","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScpgUJ6XqSpGybUIU0tgWeug0Q54RFwflhBQp5Kr7lyKiOdF87dOYLDlfVN0PbQdYFLK2qFAqk9QQJXTRI7yCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:36:46.133921Z"},"content_sha256":"a50de12d99a98a9ef43601d57b04ba9e4cfa8db10390ee8b51b6a9d5a5612502","schema_version":"1.0","event_id":"sha256:a50de12d99a98a9ef43601d57b04ba9e4cfa8db10390ee8b51b6a9d5a5612502"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6T4IP6EL3GF7C5VZLQBYQ2PDN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Mathematics, Finite Quantum Theory And A Conjecture On The Nature Of Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Felix M Lev","submitted_at":"2017-10-19T04:24:27Z","abstract_excerpt":"We first give a rigorous mathematical proof that classical mathematics (involving such notions as infinitely small/large, continuity etc.) is a special degenerate case of finite one in the formal limit when the characteristic $p$ of the field or ring in finite mathematics goes to infinity. We consider a finite quantum theory (FQT) based on finite mathematics and prove that standard continuous quantum theory is a special case of FQT in the formal limit $p\\to\\infty$. The description of states in standard quantum theory contains a big redundancy of elements: the theory is based on real numbers wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04607","kind":"arxiv","version":3},"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":"2026-05-17T23:39:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bGb3HUfhHY5am3lNgi823Zo3RffmWfVlWQJjjbTG7xjxD8JUAi0kmy5l1AN90vKF/C9CX3aq/NCsU8O44qAOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:36:46.134886Z"},"content_sha256":"ff268da7a22bc39fd78addbb2d2b985381d6375ccd605a43e8fcb73280000d3b","schema_version":"1.0","event_id":"sha256:ff268da7a22bc39fd78addbb2d2b985381d6375ccd605a43e8fcb73280000d3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/bundle.json","state_url":"https://pith.science/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/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":"2026-05-27T05:36:46Z","links":{"resolver":"https://pith.science/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3","bundle":"https://pith.science/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/bundle.json","state":"https://pith.science/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6T4IP6EL3GF7C5VZLQBYQ2PDN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6T4IP6EL3GF7C5VZLQBYQ2PDN3","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":"10d81199e9f6bfdbaf461c3c31d9a5313f23621c505626059a1af16a1bbe9330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-10-19T04:24:27Z","title_canon_sha256":"e279f6362150046e3370eaa0a0ec3325c5439bae51678073825994f65c44df94"},"schema_version":"1.0","source":{"id":"1711.04607","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04607","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04607v3","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04607","created_at":"2026-05-17T23:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"6T4IP6EL3GF7","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6T4IP6EL3GF7C5VZ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6T4IP6EL","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:ff268da7a22bc39fd78addbb2d2b985381d6375ccd605a43e8fcb73280000d3b","target":"graph","created_at":"2026-05-17T23:39:42Z","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":"We first give a rigorous mathematical proof that classical mathematics (involving such notions as infinitely small/large, continuity etc.) is a special degenerate case of finite one in the formal limit when the characteristic $p$ of the field or ring in finite mathematics goes to infinity. We consider a finite quantum theory (FQT) based on finite mathematics and prove that standard continuous quantum theory is a special case of FQT in the formal limit $p\\to\\infty$. The description of states in standard quantum theory contains a big redundancy of elements: the theory is based on real numbers wh","authors_text":"Felix M Lev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-10-19T04:24:27Z","title":"Finite Mathematics, Finite Quantum Theory And A Conjecture On The Nature Of Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04607","kind":"arxiv","version":3},"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:a50de12d99a98a9ef43601d57b04ba9e4cfa8db10390ee8b51b6a9d5a5612502","target":"record","created_at":"2026-05-17T23:39:42Z","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":"10d81199e9f6bfdbaf461c3c31d9a5313f23621c505626059a1af16a1bbe9330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2017-10-19T04:24:27Z","title_canon_sha256":"e279f6362150046e3370eaa0a0ec3325c5439bae51678073825994f65c44df94"},"schema_version":"1.0","source":{"id":"1711.04607","kind":"arxiv","version":3}},"canonical_sha256":"f4f887f88bd98bf176b95c038869e36ed23430c6cb8616e723a98e9e411376ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4f887f88bd98bf176b95c038869e36ed23430c6cb8616e723a98e9e411376ee","first_computed_at":"2026-05-17T23:39:42.052669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:42.052669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LobCbNMsGTRbmqIVAoCqhqeLRLim/d9eiNHsbapfZ0VjN6EBG6pzw3Uy6WGYUvQ2ZEDv2NgPhpixmILawRvIDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:42.053418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04607","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a50de12d99a98a9ef43601d57b04ba9e4cfa8db10390ee8b51b6a9d5a5612502","sha256:ff268da7a22bc39fd78addbb2d2b985381d6375ccd605a43e8fcb73280000d3b"],"state_sha256":"d33ce391bd07fb5fbdaf98f162d8b532fcdaa083c23d803a7220a8f37d72e991"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QX/NR2+SEGC4Oi7LLddUTILc22rf7Agj89zqAa23fYcTMkH/GaHlInB8vtz4asnNsI8TCsKot/RUBpu5N3E3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:36:46.137750Z","bundle_sha256":"7951af28b998b82121fa314fb1c4657601c32df13e8af8cae3d5cd62cf72ca8f"}}