{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:J2W3SDLOQBG6ESS76FGQVY44NG","short_pith_number":"pith:J2W3SDLO","canonical_record":{"source":{"id":"quant-ph/9804012","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-04-03T21:35:45Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"334c94bcdfac6de218e008fe2024edf6d856972cf3a8df9a8b400150f252fae4","abstract_canon_sha256":"454e83885de9e7d1068c32ca8992b00c5d3751837f6c68a10259f7098e7d2b12"},"schema_version":"1.0"},"canonical_sha256":"4eadb90d6e804de24a5ff14d0ae39c69bb1bbcf3fc823a51d1ba31f8b19fcef3","source":{"kind":"arxiv","id":"quant-ph/9804012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9804012","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9804012v2","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9804012","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"J2W3SDLOQBG6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"J2W3SDLOQBG6ESS7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"J2W3SDLO","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:J2W3SDLOQBG6ESS76FGQVY44NG","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9804012","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-04-03T21:35:45Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"334c94bcdfac6de218e008fe2024edf6d856972cf3a8df9a8b400150f252fae4","abstract_canon_sha256":"454e83885de9e7d1068c32ca8992b00c5d3751837f6c68a10259f7098e7d2b12"},"schema_version":"1.0"},"canonical_sha256":"4eadb90d6e804de24a5ff14d0ae39c69bb1bbcf3fc823a51d1ba31f8b19fcef3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:00.552622Z","signature_b64":"4DzKUHntK+/826oDeP50xhTzSEbXtfNcbyTH9aMBKPobEKz7G+q7iaEj5E/VzyNcQWLNI0JcryYtdZBlBfuwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4eadb90d6e804de24a5ff14d0ae39c69bb1bbcf3fc823a51d1ba31f8b19fcef3","last_reissued_at":"2026-05-18T01:05:00.551972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:00.551972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9804012","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4s+UuYp59LwcthZZAT07TRmncjY/AQLhD4kQhUP8yitvoyImjw12q42x5ZuLPrhuGe7Ybn54k7g0DmRY7THqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T16:23:45.401669Z"},"content_sha256":"65171f8f8fdc5fc22e7f67b6972486c829deaf0a279bfcacbf5faaf32a296c7b","schema_version":"1.0","event_id":"sha256:65171f8f8fdc5fc22e7f67b6972486c829deaf0a279bfcacbf5faaf32a296c7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:J2W3SDLOQBG6ESS76FGQVY44NG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistency, Amplitudes and Probabilities in Quantum Theory","license":"","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc"],"primary_cat":"quant-ph","authors_text":"Ariel Caticha","submitted_at":"1998-04-03T21:35:45Z","abstract_excerpt":"Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes. A consequence is that the Schrodinger equation must be linear: non-linear variants of quantum mechanics are inconsistent. The physical interpretation of the theory is given in terms of a single natural rule. This rule, which d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9804012","kind":"arxiv","version":2},"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":"2026-05-18T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RJNYz3nnwaos7X3j19nXji1z6cnwvooq1L2ItY12hSs8rEV6d64pYznyao4hyAi3Txv8UCKyCudN4T2wuWPnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T16:23:45.402013Z"},"content_sha256":"be9a8cbe773af22e8bd5e58fa3e4ea732e03e679dc33ad437a7e30e73a85d125","schema_version":"1.0","event_id":"sha256:be9a8cbe773af22e8bd5e58fa3e4ea732e03e679dc33ad437a7e30e73a85d125"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2W3SDLOQBG6ESS76FGQVY44NG/bundle.json","state_url":"https://pith.science/pith/J2W3SDLOQBG6ESS76FGQVY44NG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2W3SDLOQBG6ESS76FGQVY44NG/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":"2026-05-20T16:23:45Z","links":{"resolver":"https://pith.science/pith/J2W3SDLOQBG6ESS76FGQVY44NG","bundle":"https://pith.science/pith/J2W3SDLOQBG6ESS76FGQVY44NG/bundle.json","state":"https://pith.science/pith/J2W3SDLOQBG6ESS76FGQVY44NG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2W3SDLOQBG6ESS76FGQVY44NG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:J2W3SDLOQBG6ESS76FGQVY44NG","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":"454e83885de9e7d1068c32ca8992b00c5d3751837f6c68a10259f7098e7d2b12","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"","primary_cat":"quant-ph","submitted_at":"1998-04-03T21:35:45Z","title_canon_sha256":"334c94bcdfac6de218e008fe2024edf6d856972cf3a8df9a8b400150f252fae4"},"schema_version":"1.0","source":{"id":"quant-ph/9804012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9804012","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9804012v2","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9804012","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"J2W3SDLOQBG6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"J2W3SDLOQBG6ESS7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"J2W3SDLO","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:be9a8cbe773af22e8bd5e58fa3e4ea732e03e679dc33ad437a7e30e73a85d125","target":"graph","created_at":"2026-05-18T01:05:00Z","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":"Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes. A consequence is that the Schrodinger equation must be linear: non-linear variants of quantum mechanics are inconsistent. The physical interpretation of the theory is given in terms of a single natural rule. This rule, which d","authors_text":"Ariel Caticha","cross_cats":["cond-mat.stat-mech","gr-qc"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1998-04-03T21:35:45Z","title":"Consistency, Amplitudes and Probabilities in Quantum Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9804012","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":"sha256:65171f8f8fdc5fc22e7f67b6972486c829deaf0a279bfcacbf5faaf32a296c7b","target":"record","created_at":"2026-05-18T01:05:00Z","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":"454e83885de9e7d1068c32ca8992b00c5d3751837f6c68a10259f7098e7d2b12","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"","primary_cat":"quant-ph","submitted_at":"1998-04-03T21:35:45Z","title_canon_sha256":"334c94bcdfac6de218e008fe2024edf6d856972cf3a8df9a8b400150f252fae4"},"schema_version":"1.0","source":{"id":"quant-ph/9804012","kind":"arxiv","version":2}},"canonical_sha256":"4eadb90d6e804de24a5ff14d0ae39c69bb1bbcf3fc823a51d1ba31f8b19fcef3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4eadb90d6e804de24a5ff14d0ae39c69bb1bbcf3fc823a51d1ba31f8b19fcef3","first_computed_at":"2026-05-18T01:05:00.551972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:00.551972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4DzKUHntK+/826oDeP50xhTzSEbXtfNcbyTH9aMBKPobEKz7G+q7iaEj5E/VzyNcQWLNI0JcryYtdZBlBfuwAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:00.552622Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9804012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65171f8f8fdc5fc22e7f67b6972486c829deaf0a279bfcacbf5faaf32a296c7b","sha256:be9a8cbe773af22e8bd5e58fa3e4ea732e03e679dc33ad437a7e30e73a85d125"],"state_sha256":"91c74d6fb41a05a904564f7caed265c250cdbf0619e5c6807859c3f7fe8f93a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVdkhyNNuv/YxaNFQ1dV8HVxvf2R+zEJJO1loe5R2I6rs1AKoIoJRe7y2CE0iRANjiZMfNcDfvp9/dr+vHXoAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T16:23:45.404137Z","bundle_sha256":"ae6bec95438ae9379331cde6a498439c3005cd8841c3fd401831a7a8aac35933"}}