{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:U7BGPNR4RDNFGPQDBSJDTS4GIZ","short_pith_number":"pith:U7BGPNR4","canonical_record":{"source":{"id":"1204.4901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-22T15:25:35Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"8d0ea1e5a3b073d378549fc4e352aedc347e4a0371e2f4edcc2f31a070dc5f86","abstract_canon_sha256":"4404f18f26d8fab50731a2f4f85d5b296eca6271d2d730dc335dfcb19ce79d22"},"schema_version":"1.0"},"canonical_sha256":"a7c267b63c88da533e030c9239cb8646667af235e3c584c95d6271808e2c7145","source":{"kind":"arxiv","id":"1204.4901","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4901","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4901v1","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4901","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"U7BGPNR4RDNF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U7BGPNR4RDNFGPQD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U7BGPNR4","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:U7BGPNR4RDNFGPQDBSJDTS4GIZ","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-22T15:25:35Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"8d0ea1e5a3b073d378549fc4e352aedc347e4a0371e2f4edcc2f31a070dc5f86","abstract_canon_sha256":"4404f18f26d8fab50731a2f4f85d5b296eca6271d2d730dc335dfcb19ce79d22"},"schema_version":"1.0"},"canonical_sha256":"a7c267b63c88da533e030c9239cb8646667af235e3c584c95d6271808e2c7145","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:08.680355Z","signature_b64":"ICZ16OD47INfgHKtRE2HsbIVahn1fA64wN2LMGGzuL7PbK56T49Cb9c3Ug4F+18q4j3qlsPw8oiuMTEKJe4mBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7c267b63c88da533e030c9239cb8646667af235e3c584c95d6271808e2c7145","last_reissued_at":"2026-05-18T03:37:08.679591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:08.679591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4901","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WENenejj+2cj1Fl421RNm1FO45F0GTiF0a56j8MWAPVa/XW9jyeHnq/pn6308wH5mSUvLS7kqOOS3BPPEvOTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:37.956993Z"},"content_sha256":"32dc980f56c386956c213646c4c4f193b16f55ce57cc11aff4f45e6e55e5ba87","schema_version":"1.0","event_id":"sha256:32dc980f56c386956c213646c4c4f193b16f55ce57cc11aff4f45e6e55e5ba87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:U7BGPNR4RDNFGPQDBSJDTS4GIZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement of Conceptual Entities in Quantum Model Theory (QMod)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Diederik Aerts, Sandro Sozzo","submitted_at":"2012-04-22T15:25:35Z","abstract_excerpt":"We have recently elaborated 'Quantum Model Theory' (QMod) to model situations where the quantum effects of contextuality, interference, superposition, entanglement and emergence, appear without the entities giving rise to these situations having necessarily to be of microscopic nature. We have shown that QMod models without introducing linearity for the set of the states. In this paper we prove that QMod, although not using linearity for the state space, provides a method of identification for entangled states and an intuitive explanation for their occurrence. We illustrate this method for ent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4901","kind":"arxiv","version":1},"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":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SO/GeFgZkMsZC6uwLu7E4pd6/cqfWdu7YOwjGUw5wYDTtTSVzhuEZ6Yg2e+QH7Jp42sNmyvOGfMTtP5+eM4bAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:37.957538Z"},"content_sha256":"95557955244857289871d011a8494e30180ac1ed8c62c1a7819d83f6d5cf418b","schema_version":"1.0","event_id":"sha256:95557955244857289871d011a8494e30180ac1ed8c62c1a7819d83f6d5cf418b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/bundle.json","state_url":"https://pith.science/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/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":"2026-06-01T00:33:37Z","links":{"resolver":"https://pith.science/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ","bundle":"https://pith.science/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/bundle.json","state":"https://pith.science/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7BGPNR4RDNFGPQDBSJDTS4GIZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U7BGPNR4RDNFGPQDBSJDTS4GIZ","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":"4404f18f26d8fab50731a2f4f85d5b296eca6271d2d730dc335dfcb19ce79d22","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-22T15:25:35Z","title_canon_sha256":"8d0ea1e5a3b073d378549fc4e352aedc347e4a0371e2f4edcc2f31a070dc5f86"},"schema_version":"1.0","source":{"id":"1204.4901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4901","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4901v1","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4901","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"U7BGPNR4RDNF","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U7BGPNR4RDNFGPQD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U7BGPNR4","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:95557955244857289871d011a8494e30180ac1ed8c62c1a7819d83f6d5cf418b","target":"graph","created_at":"2026-05-18T03:37:08Z","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 have recently elaborated 'Quantum Model Theory' (QMod) to model situations where the quantum effects of contextuality, interference, superposition, entanglement and emergence, appear without the entities giving rise to these situations having necessarily to be of microscopic nature. We have shown that QMod models without introducing linearity for the set of the states. In this paper we prove that QMod, although not using linearity for the state space, provides a method of identification for entangled states and an intuitive explanation for their occurrence. We illustrate this method for ent","authors_text":"Diederik Aerts, Sandro Sozzo","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-22T15:25:35Z","title":"Entanglement of Conceptual Entities in Quantum Model Theory (QMod)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4901","kind":"arxiv","version":1},"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":"sha256:32dc980f56c386956c213646c4c4f193b16f55ce57cc11aff4f45e6e55e5ba87","target":"record","created_at":"2026-05-18T03:37:08Z","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":"4404f18f26d8fab50731a2f4f85d5b296eca6271d2d730dc335dfcb19ce79d22","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-22T15:25:35Z","title_canon_sha256":"8d0ea1e5a3b073d378549fc4e352aedc347e4a0371e2f4edcc2f31a070dc5f86"},"schema_version":"1.0","source":{"id":"1204.4901","kind":"arxiv","version":1}},"canonical_sha256":"a7c267b63c88da533e030c9239cb8646667af235e3c584c95d6271808e2c7145","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7c267b63c88da533e030c9239cb8646667af235e3c584c95d6271808e2c7145","first_computed_at":"2026-05-18T03:37:08.679591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:08.679591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ICZ16OD47INfgHKtRE2HsbIVahn1fA64wN2LMGGzuL7PbK56T49Cb9c3Ug4F+18q4j3qlsPw8oiuMTEKJe4mBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:08.680355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32dc980f56c386956c213646c4c4f193b16f55ce57cc11aff4f45e6e55e5ba87","sha256:95557955244857289871d011a8494e30180ac1ed8c62c1a7819d83f6d5cf418b"],"state_sha256":"840befb2744eb3389eba424a54d713d25d5c9f5a0cdaf5958650818f84b5cb9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTXuNmKC6q8BD5G1WKgfgjyPSME8tAVUpQ7QL6m2Oz1gZVGi96adXMbD14uh3fNi29n3WQ5rX4TH7PbqytuWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:33:37.960602Z","bundle_sha256":"e82d0cc373b079c00972ba350c2b312775d35386d7ee9e6c0264addc9d725e0a"}}