{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:EFNMCLMPS37TVO3CJRGPYFQHN6","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":"292cd72b2dc4d0c21ac6d2ee5d34da5c22ef134987258777f192921d53f0f07e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1995-02-07T21:43:43Z","title_canon_sha256":"233896db31ef47f2b2c5c65a28a57db2f5ba8bea6ff045f908dd92f03dc44494"},"schema_version":"1.0","source":{"id":"gr-qc/9502016","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9502016","created_at":"2026-05-18T01:06:45Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9502016v2","created_at":"2026-05-18T01:06:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9502016","created_at":"2026-05-18T01:06:45Z"},{"alias_kind":"pith_short_12","alias_value":"EFNMCLMPS37T","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"EFNMCLMPS37TVO3C","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"EFNMCLMP","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:f447d77e019ebe612d70830befd395b34dbf046a0e4a0eb6502ad7fc556a7d1f","target":"graph","created_at":"2026-05-18T01:06:45Z","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":"We analyse the massless wave equation on a class of two dimensional manifolds consisting of an arbitrary number of topological cylinders connected to one or more topological spheres. Such manifolds are endowed with a degenerate (non-globally hyperbolic) metric. Attention is drawn to the topological constraints on solutions describing monochromatic modes on both compact and non-compact manifolds. Energy and momentum currents are constructed and a new global sum rule discussed. The results offer a rigorous background for the formulation of a field theory of topologically induced particle product","authors_text":"Chemistry, Jonathan Gratus, Lancaster University, Lancs LA1 4YB, Robin W Tucker (School of Physics, UK)","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1995-02-07T21:43:43Z","title":"Topology Change and the Propagation of Massless Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9502016","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:a985f3d39135e9fe7c8afc30156c0c297129019e09bd57c3b3a2dc4494a847a1","target":"record","created_at":"2026-05-18T01:06:45Z","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":"292cd72b2dc4d0c21ac6d2ee5d34da5c22ef134987258777f192921d53f0f07e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1995-02-07T21:43:43Z","title_canon_sha256":"233896db31ef47f2b2c5c65a28a57db2f5ba8bea6ff045f908dd92f03dc44494"},"schema_version":"1.0","source":{"id":"gr-qc/9502016","kind":"arxiv","version":2}},"canonical_sha256":"215ac12d8f96ff3abb624c4cfc16076fa872b82ccd948f4ba38cb8a35677f69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"215ac12d8f96ff3abb624c4cfc16076fa872b82ccd948f4ba38cb8a35677f69a","first_computed_at":"2026-05-18T01:06:45.053554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:45.053554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AlJje6p42EanpeGvGwfZYhO3leJESldavo82RBNx6Hx0WDvwFujt6Jb4DOgxeIDmDCCXC4zTS8l34E4CJ/9gDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:45.054024Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9502016","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a985f3d39135e9fe7c8afc30156c0c297129019e09bd57c3b3a2dc4494a847a1","sha256:f447d77e019ebe612d70830befd395b34dbf046a0e4a0eb6502ad7fc556a7d1f"],"state_sha256":"6f0877c62c87affa9d27c820b560eb991378eba801ae3168165ade7c0a0f3364"}