{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RMTB22X7BF7R4WMFDG5Q4BA6RC","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":"f35be2cc8a30b88d6322b3666976fcf6b9bc59c25924ab10d628542bdb128030","cross_cats_sorted":["hep-lat","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-03T16:59:11Z","title_canon_sha256":"b6bdf5dd148c7a4fbc3c6e550f2a16ee019f33dc6b9415b564312221489f853a"},"schema_version":"1.0","source":{"id":"1207.0748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0748","created_at":"2026-05-18T03:13:10Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0748v2","created_at":"2026-05-18T03:13:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0748","created_at":"2026-05-18T03:13:10Z"},{"alias_kind":"pith_short_12","alias_value":"RMTB22X7BF7R","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RMTB22X7BF7R4WMF","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RMTB22X7","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:f74c9b3f1c0d4011fe398971c9c47448f672dc9974415a2537d580d39b7d8881","target":"graph","created_at":"2026-05-18T03:13:10Z","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 show that the two-point function \\sigma(x,x')=\\sqrt{<[\\phi(x)-\\phi(x')]^{2}>} of a scalar quantum field theory is a metric (i.e., a symmetric positive function satisfying the triangle inequality) on space-time (with imaginary time). It is very different from the Euclidean metric |x-x'| at large distances, yet agrees with it at short distances. For example, space-time has finite diameter which is not universal. The Lipschitz equivalence class of the metric is independent of the cutoff. \\sigma(x,x') is not the length of the geodesic in any Riemannian metric. Nevertheless, it is possible to em","authors_text":"Arnab Kar, S. G. Rajeev","cross_cats":["hep-lat","hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-03T16:59:11Z","title":"A Non-Riemannian Metric on Space-Time Emergent From Scalar Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0748","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:b803d3d3fb83b93d565cde908e31f093cb693193f454c102db1d6169eb8a26e3","target":"record","created_at":"2026-05-18T03:13:10Z","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":"f35be2cc8a30b88d6322b3666976fcf6b9bc59c25924ab10d628542bdb128030","cross_cats_sorted":["hep-lat","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-03T16:59:11Z","title_canon_sha256":"b6bdf5dd148c7a4fbc3c6e550f2a16ee019f33dc6b9415b564312221489f853a"},"schema_version":"1.0","source":{"id":"1207.0748","kind":"arxiv","version":2}},"canonical_sha256":"8b261d6aff097f1e598519bb0e041e88a4743c212787b82dfc0db7859ca0aa8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b261d6aff097f1e598519bb0e041e88a4743c212787b82dfc0db7859ca0aa8b","first_computed_at":"2026-05-18T03:13:10.876517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:10.876517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WhFMSD9Ar9rFhc2tfGYd+TCy1DbZTEq6D1EAq0SL4k+ERpf22S+6NuMskU3bdq++4ee0+jsUXan7qc50p9tFAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:10.877447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b803d3d3fb83b93d565cde908e31f093cb693193f454c102db1d6169eb8a26e3","sha256:f74c9b3f1c0d4011fe398971c9c47448f672dc9974415a2537d580d39b7d8881"],"state_sha256":"7722b164db563343cb04ed9146214d55363dcf772a5562ac62d8149d47d01f78"}