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We suggest a new rule regarding entropy changes in different dimensions, $\\Delta S= 2\\pi k D \\Delta l /\\lambdabar,$  which unifies Verlinde's conjectu"},"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":"1003.1625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-08T13:41:35Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"89ab21b2e369505cb095c34f6f67dde97118ff354a0eeb7b257673ea0bcfb518","abstract_canon_sha256":"d46c61d149a06745aa1d9357a0d6d769c7a0970534c6c23a5fcd5443de75b384"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:36.717777Z","signature_b64":"jU3yzwe4vM2fsgbdYllbQ+H19n8HAFHt+l1FMz1Hx2ENzNphxm9oIdnNmu4JOspE1qe+hmvPw5oyeGy0FpE4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad1b8bffa31af1ef83b0180a926944fa3be5d9ad2ded267cba478061f70d94d2","last_reissued_at":"2026-05-18T02:08:36.716967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:36.716967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black Holes and Photons with Entropic Force","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Bo-Qiang Ma, Xiao-Gang He","submitted_at":"2010-03-08T13:41:35Z","abstract_excerpt":"We study entropic force effects on black holes and photons. 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