{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:V2G7YN3UII6XVHGPL5F7G7J5SE","short_pith_number":"pith:V2G7YN3U","schema_version":"1.0","canonical_sha256":"ae8dfc3774423d7a9ccf5f4bf37d3d9117939202c8c314086d14d11229911c40","source":{"kind":"arxiv","id":"2403.14542","version":2},"attestation_state":"computed","paper":{"title":"Dynamical Edge Modes and Entanglement in Maxwell Theory","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adam Ball, Gabriel Wong, Y.T. Albert Law","submitted_at":"2024-03-21T16:41:20Z","abstract_excerpt":"Previous work on black hole partition functions and entanglement entropy suggests the existence of \"edge\" degrees of freedom living on the (stretched) horizon. We identify a local and \"shrinkable\" boundary condition on the stretched horizon that gives rise to such degrees of freedom. They can be interpreted as the Goldstone bosons of gauge transformations supported on the boundary, with the electric field component normal to the boundary as their symplectic conjugate. Applying the covariant phase space formalism for manifolds with boundary, we show that both the symplectic form and Hamiltonian"},"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":"2403.14542","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-21T16:41:20Z","cross_cats_sorted":[],"title_canon_sha256":"b7538d57f523bc8ebfc0fac8b3986ee483ed9b443bf5ff1bbd2f69ad9cbdb44b","abstract_canon_sha256":"ffe5091df275ee2d7ef3abb5c6c84076216b79294deaa6c6cf9cbaee54bd466a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:00.539104Z","signature_b64":"l1PJT9KHkePadQn8NwJk+86U3MaTdu9BSxxOUAA85QsG/rmOniiII+kj01ObIa62X6cz9v68E6CjYAKuAFm2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae8dfc3774423d7a9ccf5f4bf37d3d9117939202c8c314086d14d11229911c40","last_reissued_at":"2026-07-05T09:13:00.538610Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:00.538610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical Edge Modes and Entanglement in Maxwell Theory","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adam Ball, Gabriel Wong, Y.T. Albert Law","submitted_at":"2024-03-21T16:41:20Z","abstract_excerpt":"Previous work on black hole partition functions and entanglement entropy suggests the existence of \"edge\" degrees of freedom living on the (stretched) horizon. We identify a local and \"shrinkable\" boundary condition on the stretched horizon that gives rise to such degrees of freedom. They can be interpreted as the Goldstone bosons of gauge transformations supported on the boundary, with the electric field component normal to the boundary as their symplectic conjugate. Applying the covariant phase space formalism for manifolds with boundary, we show that both the symplectic form and Hamiltonian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.14542","kind":"arxiv","version":2},"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/2403.14542/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":"2403.14542","created_at":"2026-07-05T09:13:00.538671+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.14542v2","created_at":"2026-07-05T09:13:00.538671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.14542","created_at":"2026-07-05T09:13:00.538671+00:00"},{"alias_kind":"pith_short_12","alias_value":"V2G7YN3UII6X","created_at":"2026-07-05T09:13:00.538671+00:00"},{"alias_kind":"pith_short_16","alias_value":"V2G7YN3UII6XVHGP","created_at":"2026-07-05T09:13:00.538671+00:00"},{"alias_kind":"pith_short_8","alias_value":"V2G7YN3U","created_at":"2026-07-05T09:13:00.538671+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.13551","citing_title":"A ribbon ZX calculus for gauge theory","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12515","citing_title":"Mapping the Infrared Phase Space of Gravity to Finite Subregions","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28858","citing_title":"Axions on de Sitter space","ref_index":112,"is_internal_anchor":false},{"citing_arxiv_id":"2605.27870","citing_title":"Revisiting boundary electromagnetic duality and edge modes","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2501.17912","citing_title":"De Sitter Horizon Edge Partition Functions","ref_index":28,"is_internal_anchor":false},{"citing_arxiv_id":"2506.02142","citing_title":"Gravitons on Nariai Edges","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2511.03779","citing_title":"Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity","ref_index":255,"is_internal_anchor":false},{"citing_arxiv_id":"2603.20913","citing_title":"Horizon Edge Partition Functions in $\\Lambda>0$ Quantum Gravity","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE","json":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE.json","graph_json":"https://pith.science/api/pith-number/V2G7YN3UII6XVHGPL5F7G7J5SE/graph.json","events_json":"https://pith.science/api/pith-number/V2G7YN3UII6XVHGPL5F7G7J5SE/events.json","paper":"https://pith.science/paper/V2G7YN3U"},"agent_actions":{"view_html":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE","download_json":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE.json","view_paper":"https://pith.science/paper/V2G7YN3U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.14542&json=true","fetch_graph":"https://pith.science/api/pith-number/V2G7YN3UII6XVHGPL5F7G7J5SE/graph.json","fetch_events":"https://pith.science/api/pith-number/V2G7YN3UII6XVHGPL5F7G7J5SE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE/action/storage_attestation","attest_author":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE/action/author_attestation","sign_citation":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE/action/citation_signature","submit_replication":"https://pith.science/pith/V2G7YN3UII6XVHGPL5F7G7J5SE/action/replication_record"}},"created_at":"2026-07-05T09:13:00.538671+00:00","updated_at":"2026-07-05T09:13:00.538671+00:00"}