{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PBAMQKY25BZOWF6KLB6LWWFRC6","short_pith_number":"pith:PBAMQKY2","schema_version":"1.0","canonical_sha256":"7840c82b1ae872eb17ca587cbb58b117b8620d41d62972b44cdb4777352a23f4","source":{"kind":"arxiv","id":"2104.10182","version":1},"attestation_state":"computed","paper":{"title":"Edge modes without edge modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Aldo Riello","submitted_at":"2021-04-20T18:07:11Z","abstract_excerpt":"We discuss gauge theories of the Yang-Mills kind in finite regions with boundaries, and in particular the definition of the corresponding quasi-local degrees of freedom and their gluing upon composition of the underlying regions. Although the most of the technical results presented here has appeared in previous works by Gomes, Hopfm\\\"uller and the author, we adopt here a new perspective. Focusing on Maxwell theory as our model theory, in most of the text we avoid technical complications and focus on the conceptual issues related to symplectic reduction in finite and bounded regions, and to glu"},"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":"2104.10182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-20T18:07:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"08ad5c16a1e2d8794108c455c2e3d70c3156dcd5600039207dd6cae656e44a98","abstract_canon_sha256":"12b50a366fbf5e913ed83d95cfdc19694cccccb4aa3c1a98cb184a2c34dd4993"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:33:59.607031Z","signature_b64":"I31H+tPDhzwwh/dpaDs0rWD0of3hjOuOgLLqJPQtwnlpf1E/B2raFFYYqLWgAjqPJlTcMjf8Ld8DqUPw1FOdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7840c82b1ae872eb17ca587cbb58b117b8620d41d62972b44cdb4777352a23f4","last_reissued_at":"2026-07-05T02:33:59.606635Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:33:59.606635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Edge modes without edge modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Aldo Riello","submitted_at":"2021-04-20T18:07:11Z","abstract_excerpt":"We discuss gauge theories of the Yang-Mills kind in finite regions with boundaries, and in particular the definition of the corresponding quasi-local degrees of freedom and their gluing upon composition of the underlying regions. Although the most of the technical results presented here has appeared in previous works by Gomes, Hopfm\\\"uller and the author, we adopt here a new perspective. Focusing on Maxwell theory as our model theory, in most of the text we avoid technical complications and focus on the conceptual issues related to symplectic reduction in finite and bounded regions, and to glu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.10182","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.10182/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2104.10182","created_at":"2026-07-05T02:33:59.606693+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.10182v1","created_at":"2026-07-05T02:33:59.606693+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.10182","created_at":"2026-07-05T02:33:59.606693+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBAMQKY25BZO","created_at":"2026-07-05T02:33:59.606693+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBAMQKY25BZOWF6K","created_at":"2026-07-05T02:33:59.606693+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBAMQKY2","created_at":"2026-07-05T02:33:59.606693+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.31265","citing_title":"Boundaries in the Instantaneous Formulation of Field Theories","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2502.16151","citing_title":"Global Gauge Symmetries and Spatial Asymptotic Boundary Conditions in Yang-Mills theory","ref_index":8,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6","json":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6.json","graph_json":"https://pith.science/api/pith-number/PBAMQKY25BZOWF6KLB6LWWFRC6/graph.json","events_json":"https://pith.science/api/pith-number/PBAMQKY25BZOWF6KLB6LWWFRC6/events.json","paper":"https://pith.science/paper/PBAMQKY2"},"agent_actions":{"view_html":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6","download_json":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6.json","view_paper":"https://pith.science/paper/PBAMQKY2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.10182&json=true","fetch_graph":"https://pith.science/api/pith-number/PBAMQKY25BZOWF6KLB6LWWFRC6/graph.json","fetch_events":"https://pith.science/api/pith-number/PBAMQKY25BZOWF6KLB6LWWFRC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6/action/storage_attestation","attest_author":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6/action/author_attestation","sign_citation":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6/action/citation_signature","submit_replication":"https://pith.science/pith/PBAMQKY25BZOWF6KLB6LWWFRC6/action/replication_record"}},"created_at":"2026-07-05T02:33:59.606693+00:00","updated_at":"2026-07-05T02:33:59.606693+00:00"}