{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VI226LZ64R2QXEWWFB4UBITP7E","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":"db243341c8dee9a5d801df3285b1afe8927cfd891b03b26b35de5ebe4a9d5730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-19T03:10:08Z","title_canon_sha256":"f622dc488cbfab27de203ed03d2967bbba3a5d59e7c6fc250114d1ca5384127e"},"schema_version":"1.0","source":{"id":"1512.06182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06182","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06182v1","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06182","created_at":"2026-05-18T01:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"VI226LZ64R2Q","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VI226LZ64R2QXEWW","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VI226LZ6","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:7c319710c28e751b4e66ad9aca4c5764826a2a50d80824cf14bfa49b7d3462fa","target":"graph","created_at":"2026-05-18T01:14:01Z","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 compute the logarithmic coefficient of the entanglement entropy on a sphere for a Maxwell field in $d=4$ dimensions. In spherical coordinates the problem decomposes into one dimensional ones along the radial coordinate for each angular momentum. We show the entanglement entropy of a Maxwell field is equivalent to the one of two identical massless scalars from which the mode of $l=0$ has been removed. This shows the relation $c^M_{\\log}=2 (c^S_{\\log}-c^{S_{l=0}}_{\\log})$ between the logarithmic coefficient in the entropy for a Maxwell field $c^M_{\\log}$, the one for a $d=4$ massless scalar $","authors_text":"Horacio Casini, Marina Huerta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-19T03:10:08Z","title":"Entanglement entropy of a Maxwell field on the sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06182","kind":"arxiv","version":1},"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:d6d700fd42baeef7d2b31067a7dd61b1a4ea835796ea0cf54817c57c3773bdde","target":"record","created_at":"2026-05-18T01:14:01Z","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":"db243341c8dee9a5d801df3285b1afe8927cfd891b03b26b35de5ebe4a9d5730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-19T03:10:08Z","title_canon_sha256":"f622dc488cbfab27de203ed03d2967bbba3a5d59e7c6fc250114d1ca5384127e"},"schema_version":"1.0","source":{"id":"1512.06182","kind":"arxiv","version":1}},"canonical_sha256":"aa35af2f3ee4750b92d6287940a26ff92cb17bfcf4b010c28e6cab372fa06fc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa35af2f3ee4750b92d6287940a26ff92cb17bfcf4b010c28e6cab372fa06fc8","first_computed_at":"2026-05-18T01:14:01.467859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:01.467859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zYmDrW16tVzsuAfu9vtQwdMqG/c320/py0rWBu+It0q+U05+SboeQpM2xLjRmgfc3UkF3iRKz1CxwLbbW/PECg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:01.468584Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6d700fd42baeef7d2b31067a7dd61b1a4ea835796ea0cf54817c57c3773bdde","sha256:7c319710c28e751b4e66ad9aca4c5764826a2a50d80824cf14bfa49b7d3462fa"],"state_sha256":"6ca7d1f81110310165d1b722f5dd5ce3dce9177729984103acfd66c07fb84d92"}