{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:7Q5L4GV3LD3EIFPPW2XWPVVMPF","short_pith_number":"pith:7Q5L4GV3","schema_version":"1.0","canonical_sha256":"fc3abe1abb58f64415efb6af67d6ac7952efa62cf571f52be2e2591612246bdb","source":{"kind":"arxiv","id":"0804.3527","version":1},"attestation_state":"computed","paper":{"title":"Evolving center-vortex loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Julian Moosmann, Ralf Hofmann","submitted_at":"2008-04-22T13:34:06Z","abstract_excerpt":"We consider coarse-graining applied to nonselfintersecting planar center-vortex loops as they emerge in the confining phase of an SU(2) Yang-Mills theory. Well-established properties of planar curve-shrinking predict that a suitably defined, geometric effective action exhibits (mean-field) critical behavior when the conformal limit of circular points is reached. This suggests the existence of an asymptotic mass gap. We demonstrate that the initially sharp mean center-of-mass position in a given ensemble of curves develops a variance under the flow as is the case for a position eigenstate in fr"},"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":"0804.3527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-04-22T13:34:06Z","cross_cats_sorted":[],"title_canon_sha256":"31d3051a78e706f7d03093282f43498bed48cefe1ca13fd667146eedf5e5afcd","abstract_canon_sha256":"59e1306b723e5e4bf640315284a4db8b378f4b6dc4d781715a19b21c4119f1e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:37.914451Z","signature_b64":"6pJe75cqRQ9dLjP5sGowStVvuxkIvPDzrMpBRI7ti4PJvzuboITa6xd/RzWCByMl8yjRpCwn5jVcAbFUPO3XCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc3abe1abb58f64415efb6af67d6ac7952efa62cf571f52be2e2591612246bdb","last_reissued_at":"2026-05-18T03:54:37.913693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:37.913693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolving center-vortex loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Julian Moosmann, Ralf Hofmann","submitted_at":"2008-04-22T13:34:06Z","abstract_excerpt":"We consider coarse-graining applied to nonselfintersecting planar center-vortex loops as they emerge in the confining phase of an SU(2) Yang-Mills theory. Well-established properties of planar curve-shrinking predict that a suitably defined, geometric effective action exhibits (mean-field) critical behavior when the conformal limit of circular points is reached. This suggests the existence of an asymptotic mass gap. We demonstrate that the initially sharp mean center-of-mass position in a given ensemble of curves develops a variance under the flow as is the case for a position eigenstate in fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3527","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0804.3527","created_at":"2026-05-18T03:54:37.913806+00:00"},{"alias_kind":"arxiv_version","alias_value":"0804.3527v1","created_at":"2026-05-18T03:54:37.913806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3527","created_at":"2026-05-18T03:54:37.913806+00:00"},{"alias_kind":"pith_short_12","alias_value":"7Q5L4GV3LD3E","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"7Q5L4GV3LD3EIFPP","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"7Q5L4GV3","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF","json":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF.json","graph_json":"https://pith.science/api/pith-number/7Q5L4GV3LD3EIFPPW2XWPVVMPF/graph.json","events_json":"https://pith.science/api/pith-number/7Q5L4GV3LD3EIFPPW2XWPVVMPF/events.json","paper":"https://pith.science/paper/7Q5L4GV3"},"agent_actions":{"view_html":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF","download_json":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF.json","view_paper":"https://pith.science/paper/7Q5L4GV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0804.3527&json=true","fetch_graph":"https://pith.science/api/pith-number/7Q5L4GV3LD3EIFPPW2XWPVVMPF/graph.json","fetch_events":"https://pith.science/api/pith-number/7Q5L4GV3LD3EIFPPW2XWPVVMPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF/action/storage_attestation","attest_author":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF/action/author_attestation","sign_citation":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF/action/citation_signature","submit_replication":"https://pith.science/pith/7Q5L4GV3LD3EIFPPW2XWPVVMPF/action/replication_record"}},"created_at":"2026-05-18T03:54:37.913806+00:00","updated_at":"2026-05-18T03:54:37.913806+00:00"}