{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SICI2JJWYWFU52YF3B7U2JXIL5","short_pith_number":"pith:SICI2JJW","canonical_record":{"source":{"id":"1609.01470","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-06T10:07:45Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"28c0040316c0389fffac57f48e94391e84cbaa963c6c016d434a31d8f63b89ca","abstract_canon_sha256":"aba388a088a2844d18a9d9e0932e454fc1fc02986b4e817a2c1d4d96281cca58"},"schema_version":"1.0"},"canonical_sha256":"92048d2536c58b4eeb05d87f4d26e85f73aff9812fd825d804bbe1a6dc3145c1","source":{"kind":"arxiv","id":"1609.01470","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01470","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01470v3","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01470","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"pith_short_12","alias_value":"SICI2JJWYWFU","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SICI2JJWYWFU52YF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SICI2JJW","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SICI2JJWYWFU52YF3B7U2JXIL5","target":"record","payload":{"canonical_record":{"source":{"id":"1609.01470","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-06T10:07:45Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"28c0040316c0389fffac57f48e94391e84cbaa963c6c016d434a31d8f63b89ca","abstract_canon_sha256":"aba388a088a2844d18a9d9e0932e454fc1fc02986b4e817a2c1d4d96281cca58"},"schema_version":"1.0"},"canonical_sha256":"92048d2536c58b4eeb05d87f4d26e85f73aff9812fd825d804bbe1a6dc3145c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:02.225585Z","signature_b64":"8WvsqGf6f4584tZfrZ5gZnDpAmeFnLW231sG+BpQT9lSsE0azv+e6d43mx3Fm6ZwlRQ4FecemSdRPhiUM//MAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92048d2536c58b4eeb05d87f4d26e85f73aff9812fd825d804bbe1a6dc3145c1","last_reissued_at":"2026-05-18T00:39:02.224898Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:02.224898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.01470","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K3XMeKiXNRg0WeaQKObBoMMavBVnLCVXRs7ZuUny+TYo8vGUrXVsniQnfoXfKMTYK48itQrWUv9eZkvd2JxoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:57:35.975913Z"},"content_sha256":"4229c732d73eaeddb55d398237767530fb361ceb4a293451157f6dbd7ed0024c","schema_version":"1.0","event_id":"sha256:4229c732d73eaeddb55d398237767530fb361ceb4a293451157f6dbd7ed0024c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SICI2JJWYWFU52YF3B7U2JXIL5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localisation in Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"A. P. Balachandran","submitted_at":"2016-09-06T10:07:45Z","abstract_excerpt":"In nonrelatistic quantum mechanics, Born's principle of localistion is as follows: For a single particle, if a wave function $\\psi_K$ vanishes outside a spatial region $K$, it is said to be localised in $K$. In particular if a spatial region $K'$ is disjoint from $K$, a wave function $\\psi_{K'}$ localised in $K'$ is orthogonal to $\\psi_K$.\n  Such a principle of localisation does not exist compatibly with relativity and causality in quantum field theory (Newton and Wigner) or interacting point particles (Currie,Jordan and Sudarshan).It is replaced by symplectic localisation of observables as sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01470","kind":"arxiv","version":3},"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":"2026-05-18T00:39:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dF/f5iI1Yn6AaM2Lwwbx4EpUCJq+SxSAZHZJQYZnO/NwTXrxz1Q5If+q14mKptffTDXtVhOFcXImcymKDv/fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:57:35.976536Z"},"content_sha256":"c0cb64c1bc0ce3b761be56895919b6d9baf96f748a3b22fa3da2716946649b28","schema_version":"1.0","event_id":"sha256:c0cb64c1bc0ce3b761be56895919b6d9baf96f748a3b22fa3da2716946649b28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SICI2JJWYWFU52YF3B7U2JXIL5/bundle.json","state_url":"https://pith.science/pith/SICI2JJWYWFU52YF3B7U2JXIL5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SICI2JJWYWFU52YF3B7U2JXIL5/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":"2026-05-29T19:57:35Z","links":{"resolver":"https://pith.science/pith/SICI2JJWYWFU52YF3B7U2JXIL5","bundle":"https://pith.science/pith/SICI2JJWYWFU52YF3B7U2JXIL5/bundle.json","state":"https://pith.science/pith/SICI2JJWYWFU52YF3B7U2JXIL5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SICI2JJWYWFU52YF3B7U2JXIL5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SICI2JJWYWFU52YF3B7U2JXIL5","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":"aba388a088a2844d18a9d9e0932e454fc1fc02986b4e817a2c1d4d96281cca58","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-06T10:07:45Z","title_canon_sha256":"28c0040316c0389fffac57f48e94391e84cbaa963c6c016d434a31d8f63b89ca"},"schema_version":"1.0","source":{"id":"1609.01470","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01470","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01470v3","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01470","created_at":"2026-05-18T00:39:02Z"},{"alias_kind":"pith_short_12","alias_value":"SICI2JJWYWFU","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SICI2JJWYWFU52YF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SICI2JJW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:c0cb64c1bc0ce3b761be56895919b6d9baf96f748a3b22fa3da2716946649b28","target":"graph","created_at":"2026-05-18T00:39:02Z","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":"In nonrelatistic quantum mechanics, Born's principle of localistion is as follows: For a single particle, if a wave function $\\psi_K$ vanishes outside a spatial region $K$, it is said to be localised in $K$. In particular if a spatial region $K'$ is disjoint from $K$, a wave function $\\psi_{K'}$ localised in $K'$ is orthogonal to $\\psi_K$.\n  Such a principle of localisation does not exist compatibly with relativity and causality in quantum field theory (Newton and Wigner) or interacting point particles (Currie,Jordan and Sudarshan).It is replaced by symplectic localisation of observables as sh","authors_text":"A. P. Balachandran","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-06T10:07:45Z","title":"Localisation in Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01470","kind":"arxiv","version":3},"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":"sha256:4229c732d73eaeddb55d398237767530fb361ceb4a293451157f6dbd7ed0024c","target":"record","created_at":"2026-05-18T00:39:02Z","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":"aba388a088a2844d18a9d9e0932e454fc1fc02986b4e817a2c1d4d96281cca58","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-06T10:07:45Z","title_canon_sha256":"28c0040316c0389fffac57f48e94391e84cbaa963c6c016d434a31d8f63b89ca"},"schema_version":"1.0","source":{"id":"1609.01470","kind":"arxiv","version":3}},"canonical_sha256":"92048d2536c58b4eeb05d87f4d26e85f73aff9812fd825d804bbe1a6dc3145c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92048d2536c58b4eeb05d87f4d26e85f73aff9812fd825d804bbe1a6dc3145c1","first_computed_at":"2026-05-18T00:39:02.224898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:02.224898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8WvsqGf6f4584tZfrZ5gZnDpAmeFnLW231sG+BpQT9lSsE0azv+e6d43mx3Fm6ZwlRQ4FecemSdRPhiUM//MAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:02.225585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01470","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4229c732d73eaeddb55d398237767530fb361ceb4a293451157f6dbd7ed0024c","sha256:c0cb64c1bc0ce3b761be56895919b6d9baf96f748a3b22fa3da2716946649b28"],"state_sha256":"05dbad921b77cd6c8b73d42cd00327b4a92288dca09ee14fa5207b68467c141d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8zvHvXnqP/QoIED2hjImpLYZDoY+aU3BDZruLY+5isoUGJCu8dHpxfhosCff/2ypsW0EK8EhpJaKzhZ4awFQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:57:35.978937Z","bundle_sha256":"963c6b3c242dc1013362940b92cbce0763a2aa7088364d1f511c9ef75d55e052"}}