{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KJ6NNZITHE2IWRG3KC7B5G42II","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":"4bc3d6cde20861af178a271d820993e1f9fcea1eb59262ec6221b60d3a5b331e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-09T10:30:17Z","title_canon_sha256":"90f490c3f061d5c648b0ae45c50b05fcd381d70b00a836ca4258fd8c606e6454"},"schema_version":"1.0","source":{"id":"1204.1853","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1853","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1853v2","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1853","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"KJ6NNZITHE2I","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KJ6NNZITHE2IWRG3","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KJ6NNZIT","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:bda3622a965b20788d87a1b1646bf76ddbcf38217c4d7275df3e59a26fcfd0c0","target":"graph","created_at":"2026-05-18T03:46:32Z","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 the present work, a Klein Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is discussed from a more direct and physical perspective, via the heat kernel approach. It is shown that the renormalized problem is well-defined, and the ground state energy is unique and finite. The renormalization group invariance of the model is discussed, and it is observed that the model is asymptotically free.","authors_text":"Burak Tevfik Kaynak, O. Teoman Turgut","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-09T10:30:17Z","title":"A Klein Gordon Particle Captured by Embedded Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1853","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:b694bf0ece88b767ae223b6bc0ed813428a60f61ba9e6f9ce4af837daf620bb9","target":"record","created_at":"2026-05-18T03:46:32Z","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":"4bc3d6cde20861af178a271d820993e1f9fcea1eb59262ec6221b60d3a5b331e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-09T10:30:17Z","title_canon_sha256":"90f490c3f061d5c648b0ae45c50b05fcd381d70b00a836ca4258fd8c606e6454"},"schema_version":"1.0","source":{"id":"1204.1853","kind":"arxiv","version":2}},"canonical_sha256":"527cd6e51339348b44db50be1e9b9a423f18eced0354fd845c4f8ba1fc3e4546","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"527cd6e51339348b44db50be1e9b9a423f18eced0354fd845c4f8ba1fc3e4546","first_computed_at":"2026-05-18T03:46:32.375904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:32.375904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ogJS46H2QTbQ17LzfyCMR9JzoOsa7iL5Zp0JACXzl8keu8J+536hBc2iczG4Mysqved8LW1CbVPK9CzjwHrNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:32.376641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1853","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b694bf0ece88b767ae223b6bc0ed813428a60f61ba9e6f9ce4af837daf620bb9","sha256:bda3622a965b20788d87a1b1646bf76ddbcf38217c4d7275df3e59a26fcfd0c0"],"state_sha256":"8205d38faaa47fd42bd6136b6364f8a5ab6dbc0b1a51acaaed0f668965039442"}