{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:K5SZ4ZIERILPL34CG3L4QJFZOU","short_pith_number":"pith:K5SZ4ZIE","canonical_record":{"source":{"id":"1712.05930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-16T10:13:48Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"3c012a398df970fb19f3f9b5ff5701c11af73eabd9450f437a075b0f679b94d0","abstract_canon_sha256":"3e8d4f74ce54e9acfa27bad098c17c998aea887dacb2ac57d23df42827c27992"},"schema_version":"1.0"},"canonical_sha256":"57659e65048a16f5ef8236d7c824b9753998164d73c1e1f2e9bc864346db8abe","source":{"kind":"arxiv","id":"1712.05930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05930","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05930v1","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05930","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"K5SZ4ZIERILP","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K5SZ4ZIERILPL34C","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K5SZ4ZIE","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:K5SZ4ZIERILPL34CG3L4QJFZOU","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-16T10:13:48Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"3c012a398df970fb19f3f9b5ff5701c11af73eabd9450f437a075b0f679b94d0","abstract_canon_sha256":"3e8d4f74ce54e9acfa27bad098c17c998aea887dacb2ac57d23df42827c27992"},"schema_version":"1.0"},"canonical_sha256":"57659e65048a16f5ef8236d7c824b9753998164d73c1e1f2e9bc864346db8abe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:51.478939Z","signature_b64":"6aCtF3xZAiAWrxf5fVEIvxvfJZzNyqOBd8nL1QjivCXeLgK60Jf/RwhiqWFr2B5r/a7sgLx2GPi8t/m++BfLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57659e65048a16f5ef8236d7c824b9753998164d73c1e1f2e9bc864346db8abe","last_reissued_at":"2026-05-18T00:27:51.478346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:51.478346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05930","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":"2026-05-18T00:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2uqvoVMJ11TFcUNCRBip4SWV/sWOLstEjeUQmXuYVrZFtxGOc9LOvXKAvTbm8rJ8g2X01MeFk4yOu1wcOclhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:20:32.469621Z"},"content_sha256":"1db4ce6810f8ab65f0884dcd22184cca55076e7150244a6c44b9f16d80bde2dd","schema_version":"1.0","event_id":"sha256:1db4ce6810f8ab65f0884dcd22184cca55076e7150244a6c44b9f16d80bde2dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:K5SZ4ZIERILPL34CG3L4QJFZOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonperturbative Quantum Field Theory and Noncommutative Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jesper M. Grimstrup, Johannes Aastrup","submitted_at":"2017-12-16T10:13:48Z","abstract_excerpt":"A general framework of non-perturbative quantum field theory on a curved background is presented. A quantum field theory is in this setting characterised by an embedding of a space of field configurations into a Hilbert space over $\\mathbb{R}^\\infty$. This embedding, which is only local up to a scale that we interpret as the Planck scale, coincides in the local and flat limit with the plane wave expansion known from canonical quantisation. We identify a universal Bott-Dirac operator acting in the Hilbert space over $\\mathbb{R}^\\infty$ and show that it gives rise to the free Hamiltonian both in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05930","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":"2026-05-18T00:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ROQYD7Rr7r8kFfta3rHU4Joej6Dyw/aE+zwdADAk96Hfll1sA2fYlqN5AR2FDeNBoer0HHK469ZenavNiSXnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:20:32.469968Z"},"content_sha256":"35ffaac72e756d6f52b3d2d9cd5d36d84f08282b9a8ebd1ff7910708f3ed39b2","schema_version":"1.0","event_id":"sha256:35ffaac72e756d6f52b3d2d9cd5d36d84f08282b9a8ebd1ff7910708f3ed39b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/bundle.json","state_url":"https://pith.science/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/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":"2026-06-24T12:20:32Z","links":{"resolver":"https://pith.science/pith/K5SZ4ZIERILPL34CG3L4QJFZOU","bundle":"https://pith.science/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/bundle.json","state":"https://pith.science/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5SZ4ZIERILPL34CG3L4QJFZOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K5SZ4ZIERILPL34CG3L4QJFZOU","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":"3e8d4f74ce54e9acfa27bad098c17c998aea887dacb2ac57d23df42827c27992","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-16T10:13:48Z","title_canon_sha256":"3c012a398df970fb19f3f9b5ff5701c11af73eabd9450f437a075b0f679b94d0"},"schema_version":"1.0","source":{"id":"1712.05930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05930","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05930v1","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05930","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"K5SZ4ZIERILP","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K5SZ4ZIERILPL34C","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K5SZ4ZIE","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:35ffaac72e756d6f52b3d2d9cd5d36d84f08282b9a8ebd1ff7910708f3ed39b2","target":"graph","created_at":"2026-05-18T00:27:51Z","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":"A general framework of non-perturbative quantum field theory on a curved background is presented. A quantum field theory is in this setting characterised by an embedding of a space of field configurations into a Hilbert space over $\\mathbb{R}^\\infty$. This embedding, which is only local up to a scale that we interpret as the Planck scale, coincides in the local and flat limit with the plane wave expansion known from canonical quantisation. We identify a universal Bott-Dirac operator acting in the Hilbert space over $\\mathbb{R}^\\infty$ and show that it gives rise to the free Hamiltonian both in","authors_text":"Jesper M. Grimstrup, Johannes Aastrup","cross_cats":["gr-qc","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-16T10:13:48Z","title":"Nonperturbative Quantum Field Theory and Noncommutative Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05930","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":"sha256:1db4ce6810f8ab65f0884dcd22184cca55076e7150244a6c44b9f16d80bde2dd","target":"record","created_at":"2026-05-18T00:27:51Z","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":"3e8d4f74ce54e9acfa27bad098c17c998aea887dacb2ac57d23df42827c27992","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-16T10:13:48Z","title_canon_sha256":"3c012a398df970fb19f3f9b5ff5701c11af73eabd9450f437a075b0f679b94d0"},"schema_version":"1.0","source":{"id":"1712.05930","kind":"arxiv","version":1}},"canonical_sha256":"57659e65048a16f5ef8236d7c824b9753998164d73c1e1f2e9bc864346db8abe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57659e65048a16f5ef8236d7c824b9753998164d73c1e1f2e9bc864346db8abe","first_computed_at":"2026-05-18T00:27:51.478346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:51.478346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6aCtF3xZAiAWrxf5fVEIvxvfJZzNyqOBd8nL1QjivCXeLgK60Jf/RwhiqWFr2B5r/a7sgLx2GPi8t/m++BfLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:51.478939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1db4ce6810f8ab65f0884dcd22184cca55076e7150244a6c44b9f16d80bde2dd","sha256:35ffaac72e756d6f52b3d2d9cd5d36d84f08282b9a8ebd1ff7910708f3ed39b2"],"state_sha256":"3a4ecb34afea9ea6293d818e6a20439684f63012425a4c687b027d0d156f2f5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgAX+hhGOaZQSeZ7afd++FhZ9ODx2BKMc3W26sMvoD0bHbWabvqE08h32ZmsrNP53dxPFSsP43UiCH5b81PWBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:20:32.472019Z","bundle_sha256":"2374eec5e404429e4e9871493f2e8b784eb59b3dce422b470cb31c59bd7bd25c"}}