{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:YWXHDNOQGDQA5BFQDI4PTBKSWV","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":"0f146938ccf7f2c7ea68ef13b79104676dc9ac7edf1dc52803b25aeb81838889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-10-30T12:50:45Z","title_canon_sha256":"2424fab3e81633f8bd6ce58d46b6cb6f6e671786e172310b4932d8f6a401d027"},"schema_version":"1.0","source":{"id":"0710.5633","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5633","created_at":"2026-05-18T00:23:41Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5633v3","created_at":"2026-05-18T00:23:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5633","created_at":"2026-05-18T00:23:41Z"},{"alias_kind":"pith_short_12","alias_value":"YWXHDNOQGDQA","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YWXHDNOQGDQA5BFQ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YWXHDNOQ","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:939acf1dda7b022c64536fb2fa5885982b4d60fb788e437e073c008e8c493538","target":"graph","created_at":"2026-05-18T00:23:41Z","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 study the Casimir energy of a spherical shell of radius $a$ in $\\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to $O(1/\\kappa^2)$. We show that the vacuum breaks particle and anti-particle symmetry if one requires the spectra to be consistent with the blackbody radiation at the commutative limit.","authors_text":"Chaiho Rim, Hyeong-Chan Kim, Jae Hyung Yee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-10-30T12:50:45Z","title":"Casimir energy of a spherical shell in $\\kappa-$Minkowski spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5633","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:afd32aec43ea19d30f7982ccf25ac96bb9183f6e4ad30350139161b893e3ff73","target":"record","created_at":"2026-05-18T00:23:41Z","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":"0f146938ccf7f2c7ea68ef13b79104676dc9ac7edf1dc52803b25aeb81838889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-10-30T12:50:45Z","title_canon_sha256":"2424fab3e81633f8bd6ce58d46b6cb6f6e671786e172310b4932d8f6a401d027"},"schema_version":"1.0","source":{"id":"0710.5633","kind":"arxiv","version":3}},"canonical_sha256":"c5ae71b5d030e00e84b01a38f98552b55453b511c1aab7dabe4ac9876e2fb90f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5ae71b5d030e00e84b01a38f98552b55453b511c1aab7dabe4ac9876e2fb90f","first_computed_at":"2026-05-18T00:23:41.322009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:41.322009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5rE77pTkl4WCUOSEsXcn52AfHKgpNA+bJVP3DuAUs2FBChV5KpQ9gCCoxYHrnH0Gl18lsTh8wnuRAk1rRF/LCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:41.322624Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.5633","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afd32aec43ea19d30f7982ccf25ac96bb9183f6e4ad30350139161b893e3ff73","sha256:939acf1dda7b022c64536fb2fa5885982b4d60fb788e437e073c008e8c493538"],"state_sha256":"c860b4cc9ff80f8847fb6373bd7bf8b474b8055b042cf00c787acf34871d01f2"}