{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZKTZLK2EH4DUM4A2V535D4WOTW","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":"633132f7e4b219c0ec6ab7f2639c391c3509847678d07f0862002158c48b30e4","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-14T21:42:04Z","title_canon_sha256":"032f822c22203a33da1099a374c06bbfe4656bab98f2a940f073a51d96dc3ba9"},"schema_version":"1.0","source":{"id":"2508.11083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.11083","created_at":"2026-07-05T11:54:18Z"},{"alias_kind":"arxiv_version","alias_value":"2508.11083v1","created_at":"2026-07-05T11:54:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.11083","created_at":"2026-07-05T11:54:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZKTZLK2EH4DU","created_at":"2026-07-05T11:54:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZKTZLK2EH4DUM4A2","created_at":"2026-07-05T11:54:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZKTZLK2E","created_at":"2026-07-05T11:54:18Z"}],"graph_snapshots":[{"event_id":"sha256:095b6f55007e1443cd6424d84f7bbfa6d9e75b03fa6b708053780d3a534bb998","target":"graph","created_at":"2026-07-05T11:54:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2508.11083/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we explore the Klein-Gordon field theory in $(D+1)$ dimensions in the presence of a $(D-1)$-dimensional hyperplanar $\\delta$-like potential that couples quadratically to the field derivatives. This model effectively generalizes the Neumann boundary condition for the scalar field on the plane, as it reduces to this condition in an appropriate limit of the coupling parameter. Specifically, we calculate the modifications to the Feynman propagator induced by the planar potential and analyze the interaction energy between a stationary point-like source and the potential, obtaining a ","authors_text":"F.A. Barone, F.E. Barone, G. Flores-Hidalgo, J.C. Fernandes, J.P. Ferreira, L.H.C. Borges","cross_cats":["cond-mat.other","math-ph","math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-14T21:42:04Z","title":"Generalized Neumann boundary condition for the scalar field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.11083","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":"sha256:07b79952d7d9243edd4e9156b5e1584368263180bc7d447b167ab5f242eb84a2","target":"record","created_at":"2026-07-05T11:54:18Z","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":"633132f7e4b219c0ec6ab7f2639c391c3509847678d07f0862002158c48b30e4","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-14T21:42:04Z","title_canon_sha256":"032f822c22203a33da1099a374c06bbfe4656bab98f2a940f073a51d96dc3ba9"},"schema_version":"1.0","source":{"id":"2508.11083","kind":"arxiv","version":1}},"canonical_sha256":"caa795ab443f0746701aaf77d1f2ce9d83206ba01dcdef4de89bc1e4b8099daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caa795ab443f0746701aaf77d1f2ce9d83206ba01dcdef4de89bc1e4b8099daa","first_computed_at":"2026-07-05T11:54:18.257979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:54:18.257979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZQnyOUKkkt3Slh5NPdl0MrVAclXR9h7igYvpbdjh9RLQewRW4C6v0RA6XPNFH+FFRgVQSc7Ad2SVStXNA55ZCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:54:18.258496Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.11083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07b79952d7d9243edd4e9156b5e1584368263180bc7d447b167ab5f242eb84a2","sha256:095b6f55007e1443cd6424d84f7bbfa6d9e75b03fa6b708053780d3a534bb998"],"state_sha256":"f8a35d10090a0431a74ae449e1e0059459310b03907f62cb536ea1526a66c043"}