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We then classify occupied bonds into {\\em bridge} bonds, which includes {\\em branch} and {\\em junction} bonds, and {\\em non-bridge} bonds; a bridge bo"},"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":"1706.04725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-06-15T02:32:41Z","cross_cats_sorted":[],"title_canon_sha256":"73b02b97f8db8351063712b73f8e48515cd826a87cf2badaa053146def160463","abstract_canon_sha256":"a735e54d32b8705d3a06b4c67ace8e6dc94ce2e55e263f0564aa092ee089516b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:35.615590Z","signature_b64":"RBGaxskgTxy2NmwGOLZPfazotpi7nwm2+nuBoEX3HzjG4Eooy/zt9wnKj22NNO/hyBp7Orz/Q/WPufWclmH8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0fca9e1492ed3a237e087c4094f50d2d796cd63f31a5ca9562aec7acdd95bb8","last_reissued_at":"2026-05-18T00:23:35.615004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:35.615004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical percolation clusters in seven dimensions and on a complete graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Junfeng Wang, Pengcheng Hou, Robert M. 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