{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Y4CBOWJCYHI6WFE3XJJJ3YB446","short_pith_number":"pith:Y4CBOWJC","canonical_record":{"source":{"id":"2607.15345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:00:31Z","cross_cats_sorted":[],"title_canon_sha256":"df6f0be6cadbb1b9c4d7baf94cc9f2c843bd5b4ded729e407e6063aed528525e","abstract_canon_sha256":"9e18d51f8323dde1ffdfe519db364ccc487cef7365c6d6b80a4f358b99abca46"},"schema_version":"1.0"},"canonical_sha256":"c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978","source":{"kind":"arxiv","id":"2607.15345","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15345","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15345v1","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15345","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"Y4CBOWJCYHI6","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_16","alias_value":"Y4CBOWJCYHI6WFE3","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_8","alias_value":"Y4CBOWJC","created_at":"2026-07-20T00:18:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Y4CBOWJCYHI6WFE3XJJJ3YB446","target":"record","payload":{"canonical_record":{"source":{"id":"2607.15345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:00:31Z","cross_cats_sorted":[],"title_canon_sha256":"df6f0be6cadbb1b9c4d7baf94cc9f2c843bd5b4ded729e407e6063aed528525e","abstract_canon_sha256":"9e18d51f8323dde1ffdfe519db364ccc487cef7365c6d6b80a4f358b99abca46"},"schema_version":"1.0"},"canonical_sha256":"c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T00:18:28.524644Z","signature_b64":"h69rt5vDFHm1MtVJQPFbnqVVGiAVI8IKzpZlWiCLXljQRNbBzPOBXwBuj6yQ9TzQMLsssksbcZJ0ws9MEY7gDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978","last_reissued_at":"2026-07-20T00:18:28.523804Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T00:18:28.523804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.15345","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":"2026-07-20T00:18:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RPLrnDoWSfzU093SlEWDX7szUkrHNzws/B2e1B27rdtmmRcAc07MXY+ZhTkZjgllQ/6b0PGVY45BzkA7WHIoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:21:24.962531Z"},"content_sha256":"d1d876664377e6ab07945567d000866f20eadca27f87e6a65a596601b649980b","schema_version":"1.0","event_id":"sha256:d1d876664377e6ab07945567d000866f20eadca27f87e6a65a596601b649980b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Y4CBOWJCYHI6WFE3XJJJ3YB446","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Causality from the spectrum: Emergence of causal order from process-matrix mereology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alexei Grinbaum, Nicolas Loizeau, Oliver Friedrich, Varun Kushwaha","submitted_at":"2026-07-16T18:00:31Z","abstract_excerpt":"In Hamiltonian systems, the only basis-independent quantity is the spectrum. Given a spectrum, quantum mereology seeks preferred tensor-product decompositions into local subsystems, leading to the emergence of locality. Causal order, however, remains fixed by the Hamiltonian time evolution. In contrast, higher-order quantum theory permits more general processes that need not possess a definite global causal order. In the process-matrix framework, specifying a process requires a choice of subsystems corresponding to the input and output Hilbert spaces of each agent. A change of basis redefines "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15345","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.15345/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-20T00:18:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdDweRiizZiqNAYv7JixxSaUSMsqoNGh5PLt79PciioMcvilVk/qisD0j8STZFTadmyiH02yBscpFnHygK9zDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:21:24.963568Z"},"content_sha256":"6761b29eccab14c5eef4a9cacc105a3a5e4165153a079aee12384ff18bd41de7","schema_version":"1.0","event_id":"sha256:6761b29eccab14c5eef4a9cacc105a3a5e4165153a079aee12384ff18bd41de7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/bundle.json","state_url":"https://pith.science/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/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":"2026-08-04T09:21:24Z","links":{"resolver":"https://pith.science/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446","bundle":"https://pith.science/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/bundle.json","state":"https://pith.science/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y4CBOWJCYHI6WFE3XJJJ3YB446/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y4CBOWJCYHI6WFE3XJJJ3YB446","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":"9e18d51f8323dde1ffdfe519db364ccc487cef7365c6d6b80a4f358b99abca46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:00:31Z","title_canon_sha256":"df6f0be6cadbb1b9c4d7baf94cc9f2c843bd5b4ded729e407e6063aed528525e"},"schema_version":"1.0","source":{"id":"2607.15345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15345","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15345v1","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15345","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"Y4CBOWJCYHI6","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_16","alias_value":"Y4CBOWJCYHI6WFE3","created_at":"2026-07-20T00:18:28Z"},{"alias_kind":"pith_short_8","alias_value":"Y4CBOWJC","created_at":"2026-07-20T00:18:28Z"}],"graph_snapshots":[{"event_id":"sha256:6761b29eccab14c5eef4a9cacc105a3a5e4165153a079aee12384ff18bd41de7","target":"graph","created_at":"2026-07-20T00:18:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.15345/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In Hamiltonian systems, the only basis-independent quantity is the spectrum. Given a spectrum, quantum mereology seeks preferred tensor-product decompositions into local subsystems, leading to the emergence of locality. Causal order, however, remains fixed by the Hamiltonian time evolution. In contrast, higher-order quantum theory permits more general processes that need not possess a definite global causal order. In the process-matrix framework, specifying a process requires a choice of subsystems corresponding to the input and output Hilbert spaces of each agent. A change of basis redefines ","authors_text":"Alexei Grinbaum, Nicolas Loizeau, Oliver Friedrich, Varun Kushwaha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:00:31Z","title":"Causality from the spectrum: Emergence of causal order from process-matrix mereology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15345","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:d1d876664377e6ab07945567d000866f20eadca27f87e6a65a596601b649980b","target":"record","created_at":"2026-07-20T00:18:28Z","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":"9e18d51f8323dde1ffdfe519db364ccc487cef7365c6d6b80a4f358b99abca46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T18:00:31Z","title_canon_sha256":"df6f0be6cadbb1b9c4d7baf94cc9f2c843bd5b4ded729e407e6063aed528525e"},"schema_version":"1.0","source":{"id":"2607.15345","kind":"arxiv","version":1}},"canonical_sha256":"c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c704175922c1d1eb149bba529de03ce78a1ef49041bf611df291c6feeccf7978","first_computed_at":"2026-07-20T00:18:28.523804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T00:18:28.523804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h69rt5vDFHm1MtVJQPFbnqVVGiAVI8IKzpZlWiCLXljQRNbBzPOBXwBuj6yQ9TzQMLsssksbcZJ0ws9MEY7gDA==","signature_status":"signed_v1","signed_at":"2026-07-20T00:18:28.524644Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1d876664377e6ab07945567d000866f20eadca27f87e6a65a596601b649980b","sha256:6761b29eccab14c5eef4a9cacc105a3a5e4165153a079aee12384ff18bd41de7"],"state_sha256":"8ad874c52692a7086b10d1738f77fe4792973e9382ed1c4ac9525169b6f49a25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gvk2PphJLHcPNKIZnF9FaPmkwpFSsilouKTGSIp2qxKFkyeGIOwSk+5s0LOcxkYXidhWT17eNnGEUT+5M5HmCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T09:21:24.969135Z","bundle_sha256":"e49331ecde72eb91666ce40fe2033ab97aa9620eac6117e0dcfc899186edadb1"}}