{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LDKMZOWC3RSZNN47JOK7JJXTZX","short_pith_number":"pith:LDKMZOWC","canonical_record":{"source":{"id":"1604.05629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-19T15:33:34Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"22c005a65b5366bdc36ad1882857b001a78ae5b0aa0022165a3cf734863dbfe0","abstract_canon_sha256":"fa04134e9818aa56a06d824dc21ad4c17ca72751fc794f55afc205714c0103ad"},"schema_version":"1.0"},"canonical_sha256":"58d4ccbac2dc6596b79f4b95f4a6f3cdea15a81eb2b577a6ae6a6f75e6a6f2e3","source":{"kind":"arxiv","id":"1604.05629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05629","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05629v1","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05629","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"LDKMZOWC3RSZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDKMZOWC3RSZNN47","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDKMZOWC","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LDKMZOWC3RSZNN47JOK7JJXTZX","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-19T15:33:34Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"22c005a65b5366bdc36ad1882857b001a78ae5b0aa0022165a3cf734863dbfe0","abstract_canon_sha256":"fa04134e9818aa56a06d824dc21ad4c17ca72751fc794f55afc205714c0103ad"},"schema_version":"1.0"},"canonical_sha256":"58d4ccbac2dc6596b79f4b95f4a6f3cdea15a81eb2b577a6ae6a6f75e6a6f2e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:38.135697Z","signature_b64":"Mdf+NAeAhJ0ATUSCJ+kyMeA08ATurvnQ+TVer+5P4rXmh3+l6pLBqRUFn0aQHqT6gXaa+cZsh7YJrHdx6bruBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58d4ccbac2dc6596b79f4b95f4a6f3cdea15a81eb2b577a6ae6a6f75e6a6f2e3","last_reissued_at":"2026-05-18T01:16:38.135075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:38.135075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05629","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":"2026-05-18T01:16:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynaIXUdToKUjmIKjubKZY+RYdM0fyiaw1Lqnj+UZyoBbTEwvZ2g+dR4z8oH3iQ2OSEtNFBjaw782ZKLGjtWPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:41:50.283245Z"},"content_sha256":"8221624ed40a31a62be92d5259daaa09022ef721a57042242ebc56a0d76457e4","schema_version":"1.0","event_id":"sha256:8221624ed40a31a62be92d5259daaa09022ef721a57042242ebc56a0d76457e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LDKMZOWC3RSZNN47JOK7JJXTZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective Limits of State Spaces: Quantum Field Theory without a Vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Suzanne Lan\\'ery","submitted_at":"2016-04-19T15:33:34Z","abstract_excerpt":"Instead of formulating the states of a Quantum Field Theory (QFT) as density matrices over a single large Hilbert space, it has been proposed by Kijowski [Kijowski, 1977] to construct them as consistent families of partial density matrices, the latter being defined over small 'building block' Hilbert spaces. In this picture, each small Hilbert space can be physically interpreted as extracting from the full theory specific degrees of freedom. This allows to reduce the quantization of a classical field theory to the quantization of finite-dimensional sub-systems, thus sidestepping some of the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05629","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":"2026-05-18T01:16:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MQ7DsDwAKtIyUmBZsAZAcQVaDau2DwSnW6nCazaBDwV5hpfZoxm9IxdqwkhGt1BjTLXabVG/i6g/IJpn8I7eCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:41:50.283903Z"},"content_sha256":"b6aa89b2841965d14f7721b30c592e827041de2abd1d10b7af7f4f0133e35d17","schema_version":"1.0","event_id":"sha256:b6aa89b2841965d14f7721b30c592e827041de2abd1d10b7af7f4f0133e35d17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/bundle.json","state_url":"https://pith.science/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/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":"2026-05-27T22:41:50Z","links":{"resolver":"https://pith.science/pith/LDKMZOWC3RSZNN47JOK7JJXTZX","bundle":"https://pith.science/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/bundle.json","state":"https://pith.science/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDKMZOWC3RSZNN47JOK7JJXTZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LDKMZOWC3RSZNN47JOK7JJXTZX","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":"fa04134e9818aa56a06d824dc21ad4c17ca72751fc794f55afc205714c0103ad","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-19T15:33:34Z","title_canon_sha256":"22c005a65b5366bdc36ad1882857b001a78ae5b0aa0022165a3cf734863dbfe0"},"schema_version":"1.0","source":{"id":"1604.05629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05629","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05629v1","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05629","created_at":"2026-05-18T01:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"LDKMZOWC3RSZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDKMZOWC3RSZNN47","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDKMZOWC","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:b6aa89b2841965d14f7721b30c592e827041de2abd1d10b7af7f4f0133e35d17","target":"graph","created_at":"2026-05-18T01:16:38Z","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":"Instead of formulating the states of a Quantum Field Theory (QFT) as density matrices over a single large Hilbert space, it has been proposed by Kijowski [Kijowski, 1977] to construct them as consistent families of partial density matrices, the latter being defined over small 'building block' Hilbert spaces. In this picture, each small Hilbert space can be physically interpreted as extracting from the full theory specific degrees of freedom. This allows to reduce the quantization of a classical field theory to the quantization of finite-dimensional sub-systems, thus sidestepping some of the co","authors_text":"Suzanne Lan\\'ery","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-19T15:33:34Z","title":"Projective Limits of State Spaces: Quantum Field Theory without a Vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05629","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":"sha256:8221624ed40a31a62be92d5259daaa09022ef721a57042242ebc56a0d76457e4","target":"record","created_at":"2026-05-18T01:16:38Z","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":"fa04134e9818aa56a06d824dc21ad4c17ca72751fc794f55afc205714c0103ad","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-19T15:33:34Z","title_canon_sha256":"22c005a65b5366bdc36ad1882857b001a78ae5b0aa0022165a3cf734863dbfe0"},"schema_version":"1.0","source":{"id":"1604.05629","kind":"arxiv","version":1}},"canonical_sha256":"58d4ccbac2dc6596b79f4b95f4a6f3cdea15a81eb2b577a6ae6a6f75e6a6f2e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58d4ccbac2dc6596b79f4b95f4a6f3cdea15a81eb2b577a6ae6a6f75e6a6f2e3","first_computed_at":"2026-05-18T01:16:38.135075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:38.135075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mdf+NAeAhJ0ATUSCJ+kyMeA08ATurvnQ+TVer+5P4rXmh3+l6pLBqRUFn0aQHqT6gXaa+cZsh7YJrHdx6bruBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:38.135697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8221624ed40a31a62be92d5259daaa09022ef721a57042242ebc56a0d76457e4","sha256:b6aa89b2841965d14f7721b30c592e827041de2abd1d10b7af7f4f0133e35d17"],"state_sha256":"71063e28694aaa06ae25bbf2d8217f81e5db8af8733bd30fbe33c3833036cfed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYIL9UTBZRvNQOtNPyMtHEa0RLPriw4p8fMVA21E/BQOHBoCAwogElqTUEmaRxZE7Q1m0NmJ8BMmoz+5PsWOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:41:50.286923Z","bundle_sha256":"e438e6acbd5e3384150d80ec20e667c603b71ea7ddcf68284167e33104d3b6a8"}}