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In [1], we found that the phase structure of charged black D5 system can be changed qualitatively to that of charged black Dp with $p < 5$ by adding the delocalized D1 branes but the similar change does not happen for the charged black D6 system through adding the delocalized D2 branes (Note that both D1/D5 and D2/D6 belong to the same type of D(p - 4)/Dp system). Adding the delocalized D4 branes to the black D6 branes doesn't work, either. In this paper, we con"},"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":"1301.1780","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-01-09T09:00:48Z","cross_cats_sorted":[],"title_canon_sha256":"5ee112ac1e0ab81903c3076df9b3b6c21c1eb9d426ec01e19ccfbc5d03409e2d","abstract_canon_sha256":"82e686446b02370dd26050e6e26484adecb1062842f163880fe9297f1fd387d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:14.624886Z","signature_b64":"F0FEr4IlB7vlPLfIXek03gMGEj8QcgQE4IJim36ykzGhCLoVQBnP3QuyAH/4k5QphrP5nviuUM82+28j6ECLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc9f2e9bd5f08511958e7a67c823a417d53885495229b7507ebefe35dc94fd27","last_reissued_at":"2026-05-18T01:52:14.624177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:14.624177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulating the phase structure of black D6 branes in canonical ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. 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