{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:V36F5RKAKFWHRHOM5TAV7YVL7E","short_pith_number":"pith:V36F5RKA","canonical_record":{"source":{"id":"1707.09840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T13:35:14Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bd1a8454c338ce3bc835462e3196eba6656deb46539f71cbf9d61b33b0f24aea","abstract_canon_sha256":"3d47026bbcdf0773706d8e48cce75e0240840699dff34581212279921ef76868"},"schema_version":"1.0"},"canonical_sha256":"aefc5ec540516c789dccecc15fe2abf921fd98212f56a0fdc9c99e6d1fe79f77","source":{"kind":"arxiv","id":"1707.09840","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09840","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09840v1","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09840","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"pith_short_12","alias_value":"V36F5RKAKFWH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V36F5RKAKFWHRHOM","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V36F5RKA","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:V36F5RKAKFWHRHOM5TAV7YVL7E","target":"record","payload":{"canonical_record":{"source":{"id":"1707.09840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T13:35:14Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bd1a8454c338ce3bc835462e3196eba6656deb46539f71cbf9d61b33b0f24aea","abstract_canon_sha256":"3d47026bbcdf0773706d8e48cce75e0240840699dff34581212279921ef76868"},"schema_version":"1.0"},"canonical_sha256":"aefc5ec540516c789dccecc15fe2abf921fd98212f56a0fdc9c99e6d1fe79f77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:40.283262Z","signature_b64":"dm9Zv0gi3PghDVjSkEnzZKbaPgXVqElNH/q5aCtTdeuTDrdJcEajX+B5DyPnxCC5//jp8Z56kYJRpNp6fT9iAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aefc5ec540516c789dccecc15fe2abf921fd98212f56a0fdc9c99e6d1fe79f77","last_reissued_at":"2026-05-18T00:31:40.282876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:40.282876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.09840","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJCFfLLwbbhuXU3D8YuLfIzM1UzOVPsOhvbfeY2cc7UuatNzIzn9hfYhyGuj5U0CIcXncArPm6ivbLgrEUmMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:00:57.498072Z"},"content_sha256":"337030e8ffcb9c241c70b2a77d49ab02210f1a08a3b36a11b21da1b9ef0e030a","schema_version":"1.0","event_id":"sha256:337030e8ffcb9c241c70b2a77d49ab02210f1a08a3b36a11b21da1b9ef0e030a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:V36F5RKAKFWHRHOM5TAV7YVL7E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Casimir Self-Entropy of a Spherical Electromagnetic $\\delta$-Function Shell","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"K. A. Milton, Prachi Parashar, Pushpa Kalauni, Yang Li","submitted_at":"2017-07-31T13:35:14Z","abstract_excerpt":"In this paper we continue our program of computing Casimir self-entropies of idealized electrical bodies. Here we consider an electromagnetic $\\delta$-function sphere (\"semitransparent sphere\") whose electric susceptibility has a transverse polarization with arbitrary strength. Dispersion is incorporated by a plasma-like model. In the strong coupling limit, a perfectly conducting spherical shell is realized. We compute the entropy for both low and high temperatures. The TE self-entropy is negative as expected, but the TM self-entropy requires ultraviolet and infrared subtractions, and, surpris"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09840","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zs4A33MLGDWFtQGPVEKphhTkHHD6tInnAFp7ddDQg7dMKMOLlY0wlOExpbJ+SQAsz03nZpCFbmTHID5i6uWRDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:00:57.498457Z"},"content_sha256":"de56fc326566996841d1bbe362cccc364d197f5d9084adeb0a2dac9d91de63c4","schema_version":"1.0","event_id":"sha256:de56fc326566996841d1bbe362cccc364d197f5d9084adeb0a2dac9d91de63c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/bundle.json","state_url":"https://pith.science/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T07:00:57Z","links":{"resolver":"https://pith.science/pith/V36F5RKAKFWHRHOM5TAV7YVL7E","bundle":"https://pith.science/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/bundle.json","state":"https://pith.science/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V36F5RKAKFWHRHOM5TAV7YVL7E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V36F5RKAKFWHRHOM5TAV7YVL7E","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":"3d47026bbcdf0773706d8e48cce75e0240840699dff34581212279921ef76868","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T13:35:14Z","title_canon_sha256":"bd1a8454c338ce3bc835462e3196eba6656deb46539f71cbf9d61b33b0f24aea"},"schema_version":"1.0","source":{"id":"1707.09840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09840","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09840v1","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09840","created_at":"2026-05-18T00:31:40Z"},{"alias_kind":"pith_short_12","alias_value":"V36F5RKAKFWH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V36F5RKAKFWHRHOM","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V36F5RKA","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:de56fc326566996841d1bbe362cccc364d197f5d9084adeb0a2dac9d91de63c4","target":"graph","created_at":"2026-05-18T00:31:40Z","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":"In this paper we continue our program of computing Casimir self-entropies of idealized electrical bodies. Here we consider an electromagnetic $\\delta$-function sphere (\"semitransparent sphere\") whose electric susceptibility has a transverse polarization with arbitrary strength. Dispersion is incorporated by a plasma-like model. In the strong coupling limit, a perfectly conducting spherical shell is realized. We compute the entropy for both low and high temperatures. The TE self-entropy is negative as expected, but the TM self-entropy requires ultraviolet and infrared subtractions, and, surpris","authors_text":"K. A. Milton, Prachi Parashar, Pushpa Kalauni, Yang Li","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T13:35:14Z","title":"Casimir Self-Entropy of a Spherical Electromagnetic $\\delta$-Function Shell"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09840","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":"sha256:337030e8ffcb9c241c70b2a77d49ab02210f1a08a3b36a11b21da1b9ef0e030a","target":"record","created_at":"2026-05-18T00:31:40Z","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":"3d47026bbcdf0773706d8e48cce75e0240840699dff34581212279921ef76868","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T13:35:14Z","title_canon_sha256":"bd1a8454c338ce3bc835462e3196eba6656deb46539f71cbf9d61b33b0f24aea"},"schema_version":"1.0","source":{"id":"1707.09840","kind":"arxiv","version":1}},"canonical_sha256":"aefc5ec540516c789dccecc15fe2abf921fd98212f56a0fdc9c99e6d1fe79f77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aefc5ec540516c789dccecc15fe2abf921fd98212f56a0fdc9c99e6d1fe79f77","first_computed_at":"2026-05-18T00:31:40.282876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:40.282876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dm9Zv0gi3PghDVjSkEnzZKbaPgXVqElNH/q5aCtTdeuTDrdJcEajX+B5DyPnxCC5//jp8Z56kYJRpNp6fT9iAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:40.283262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:337030e8ffcb9c241c70b2a77d49ab02210f1a08a3b36a11b21da1b9ef0e030a","sha256:de56fc326566996841d1bbe362cccc364d197f5d9084adeb0a2dac9d91de63c4"],"state_sha256":"c712717879b564ebecc824dee2e7169f2f913a748e510b5a6f82947f28fe673f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YYBeUbM//iJ8rvVu+GquemHV1DxjaRIeukarY/mksC5ks2BsBT2JdqN7Q/QlDCcesxsDXYzyjx8QN8HOX+54CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:00:57.500772Z","bundle_sha256":"797c62b5babc53ebc121c0d539962697f8c82d2bd360817278461c0ee3d71728"}}