{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:7QEOPY62SN2DVAQU4GVH66UE4M","short_pith_number":"pith:7QEOPY62","schema_version":"1.0","canonical_sha256":"fc08e7e3da93743a8214e1aa7f7a84e31cfc5099c18ae9d54137c00bb4af6e06","source":{"kind":"arxiv","id":"hep-th/9211099","version":2},"attestation_state":"computed","paper":{"title":"Non-Localizability and Asymptotic Commutativity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. A. Soloviev, V. Ya. Fainberg","submitted_at":"1992-11-24T06:03:51Z","abstract_excerpt":"The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand-Shilov spaces $S^\\beta$, where $0<\\beta <1$ . This result leads to a refinement of previous generalizations of the local commutativity condition to nonlocal quantum fields. For string propagators, a new derivation of a representation similar to that of K\\\"{a}llen-Lehmann is proposed. It is applicable to any in"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9211099","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-11-24T06:03:51Z","cross_cats_sorted":[],"title_canon_sha256":"1160af10b3817d6cbe1f82f1ff885ac690ab4b379724eba63e89ffdc9920c408","abstract_canon_sha256":"544041f685f1e364771fe9d280eab3f6d62a00040bc91c4f6c58acb40976f706"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:43.798785Z","signature_b64":"9U7mYiWdHjWY7G98S2o3VPgHUl5GWHhJ+rg7UNx/7L6mGtgC5U7IxhNDunWlqNrO2dCzjzch+/g+Nnu/+01JAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc08e7e3da93743a8214e1aa7f7a84e31cfc5099c18ae9d54137c00bb4af6e06","last_reissued_at":"2026-05-18T04:37:43.798296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:43.798296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Localizability and Asymptotic Commutativity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. A. Soloviev, V. Ya. Fainberg","submitted_at":"1992-11-24T06:03:51Z","abstract_excerpt":"The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand-Shilov spaces $S^\\beta$, where $0<\\beta <1$ . This result leads to a refinement of previous generalizations of the local commutativity condition to nonlocal quantum fields. For string propagators, a new derivation of a representation similar to that of K\\\"{a}llen-Lehmann is proposed. It is applicable to any in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9211099","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9211099","created_at":"2026-05-18T04:37:43.798377+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9211099v2","created_at":"2026-05-18T04:37:43.798377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9211099","created_at":"2026-05-18T04:37:43.798377+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QEOPY62SN2D","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QEOPY62SN2DVAQU","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QEOPY62","created_at":"2026-05-18T12:25:47.102015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M","json":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M.json","graph_json":"https://pith.science/api/pith-number/7QEOPY62SN2DVAQU4GVH66UE4M/graph.json","events_json":"https://pith.science/api/pith-number/7QEOPY62SN2DVAQU4GVH66UE4M/events.json","paper":"https://pith.science/paper/7QEOPY62"},"agent_actions":{"view_html":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M","download_json":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M.json","view_paper":"https://pith.science/paper/7QEOPY62","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9211099&json=true","fetch_graph":"https://pith.science/api/pith-number/7QEOPY62SN2DVAQU4GVH66UE4M/graph.json","fetch_events":"https://pith.science/api/pith-number/7QEOPY62SN2DVAQU4GVH66UE4M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M/action/storage_attestation","attest_author":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M/action/author_attestation","sign_citation":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M/action/citation_signature","submit_replication":"https://pith.science/pith/7QEOPY62SN2DVAQU4GVH66UE4M/action/replication_record"}},"created_at":"2026-05-18T04:37:43.798377+00:00","updated_at":"2026-05-18T04:37:43.798377+00:00"}