{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HY5IVAO2MLAHYHYRNVS34KJQXB","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":"62d33f1ea485ae28833ddabaea93ec9942ecc08293782652133cb3b1d71d1954","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-25T23:28:56Z","title_canon_sha256":"754cb573e6b5ef933299c46d3b624b4bf065a76a9c8bcb569b8d960ec005c39b"},"schema_version":"1.0","source":{"id":"2508.00885","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.00885","created_at":"2026-07-05T11:52:22Z"},{"alias_kind":"arxiv_version","alias_value":"2508.00885v3","created_at":"2026-07-05T11:52:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.00885","created_at":"2026-07-05T11:52:22Z"},{"alias_kind":"pith_short_12","alias_value":"HY5IVAO2MLAH","created_at":"2026-07-05T11:52:22Z"},{"alias_kind":"pith_short_16","alias_value":"HY5IVAO2MLAHYHYR","created_at":"2026-07-05T11:52:22Z"},{"alias_kind":"pith_short_8","alias_value":"HY5IVAO2","created_at":"2026-07-05T11:52:22Z"}],"graph_snapshots":[{"event_id":"sha256:e802b792be9557d705695424df38318ce0748a99c6c763b98abfa471e9ad5851","target":"graph","created_at":"2026-07-05T11:52:22Z","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/2508.00885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces topological regularization as a framework for handling ultraviolet divergences in quantum field theory, reinterpreting infinities as topological obstructions at spacetime boundaries. Through geometric compactification via stereographic projection, singularities are reframed as boundary artifacts. The framework employs causal embeddings and the causality group to preserve Lorentz invariance and unitarity, while homotopy-equivalent defect structures guarantee regularization independence via Stokes-Poincar\\'e duality. The Physical Equivalence Theorem shows that homotopy-equiv","authors_text":"Sebasti\\'an Al\\'i Sacasa-C\\'espedes","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-25T23:28:56Z","title":"Topological Regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.00885","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:c70c351106aa6fc766eabe18db64cda6769a9d5a211aac03f6a9bf370a2a1609","target":"record","created_at":"2026-07-05T11:52:22Z","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":"62d33f1ea485ae28833ddabaea93ec9942ecc08293782652133cb3b1d71d1954","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-25T23:28:56Z","title_canon_sha256":"754cb573e6b5ef933299c46d3b624b4bf065a76a9c8bcb569b8d960ec005c39b"},"schema_version":"1.0","source":{"id":"2508.00885","kind":"arxiv","version":3}},"canonical_sha256":"3e3a8a81da62c07c1f116d65be2930b85b900affa25bce357f60a431d0ce9db2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e3a8a81da62c07c1f116d65be2930b85b900affa25bce357f60a431d0ce9db2","first_computed_at":"2026-07-05T11:52:22.809588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:52:22.809588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0QAxihlh+os8TGyfafySaArbi6BR7irxm9cTfBF1rco/cb8kKjEwJsmwYfx8pvre5PNCy4/ex9GKnGg3s05VAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:52:22.810134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.00885","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c70c351106aa6fc766eabe18db64cda6769a9d5a211aac03f6a9bf370a2a1609","sha256:e802b792be9557d705695424df38318ce0748a99c6c763b98abfa471e9ad5851"],"state_sha256":"8b03ac03255226637eb2216d734aaf0c2a799a43184db39c5c3cd003a8078def"}