{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:ISLBYOSEFUMK3PPKXLRESWRJ4H","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":"74faf6d00ede4ceb8c53e99a454d116882ac2133e49fcf71a5ddc2c2ec8ede8d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-16T01:19:41Z","title_canon_sha256":"6e1aa2371b4ebaa984820966a7f2527d3d74f3c8cb2e6df28891b7aa0a4c55a7"},"schema_version":"1.0","source":{"id":"0711.2542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2542","created_at":"2026-05-18T02:16:09Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2542v1","created_at":"2026-05-18T02:16:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2542","created_at":"2026-05-18T02:16:09Z"},{"alias_kind":"pith_short_12","alias_value":"ISLBYOSEFUMK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"ISLBYOSEFUMK3PPK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"ISLBYOSE","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:6334725a6f120a35d1573bf27dc7592981b106fe38fdec82376c23494405e24b","target":"graph","created_at":"2026-05-18T02:16:09Z","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":"It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum type of type-II superconductor. This is done by using connection decomposition for the gluon field and the random-direction approximation. Using bag picture with soft wall, we presented a calculational procedure for glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].","authors_text":"Duojie Jia","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-11-16T01:19:41Z","title":"Abelian-Higgs Phase of SU(2) QCD and Glueball Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2542","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":"sha256:88ec9e19445dde0a803b4c8f0331d642f85371a912122238528b21f644e6be57","target":"record","created_at":"2026-05-18T02:16:09Z","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":"74faf6d00ede4ceb8c53e99a454d116882ac2133e49fcf71a5ddc2c2ec8ede8d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-16T01:19:41Z","title_canon_sha256":"6e1aa2371b4ebaa984820966a7f2527d3d74f3c8cb2e6df28891b7aa0a4c55a7"},"schema_version":"1.0","source":{"id":"0711.2542","kind":"arxiv","version":1}},"canonical_sha256":"44961c3a442d18adbdeabae2495a29e1ec9f083b25f1cb9bf1aeb882f31b297b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44961c3a442d18adbdeabae2495a29e1ec9f083b25f1cb9bf1aeb882f31b297b","first_computed_at":"2026-05-18T02:16:09.320060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:09.320060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YeMh7WPoDjK+fPcj4uFOJEG2tLvOutDik/BC1rsm3YOsiqfACtJRWGTW+6zKRZxr1TxCdodnHTA8pQ+zyEukAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:09.320669Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.2542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88ec9e19445dde0a803b4c8f0331d642f85371a912122238528b21f644e6be57","sha256:6334725a6f120a35d1573bf27dc7592981b106fe38fdec82376c23494405e24b"],"state_sha256":"e9b90a22c24a47f35d6cd031a5f11081da5ff47e328e4728e83c2555c3fc16f9"}