{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:4PR4EPMI3UWRMC426MOQGXIE7L","short_pith_number":"pith:4PR4EPMI","schema_version":"1.0","canonical_sha256":"e3e3c23d88dd2d160b9af31d035d04fade0d6344c89b95d5f1e5a1527a7da5fc","source":{"kind":"arxiv","id":"1001.4215","version":1},"attestation_state":"computed","paper":{"title":"Tachyonic crystals and the laminar instability of the perturbative vacuum in asymptotically free gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. B. Thacker","submitted_at":"2010-01-24T01:25:19Z","abstract_excerpt":"Lattice Monte Carlo studies in SU(3) gauge theory have shown that the topological charge distribution in the vacuum is dominated by thin coherent membranes of codimension one arranged in a layered, alternating-sign sandwich. A similar lamination of topological charge occurs in the 2D $CP^{N-1}$ model. In holographic QCD, the observed topological charge sheets are naturally interpreted as $D6$ branes wrapped around an $S_4$.. With this interpretation, the laminated array of topological charge membranes observed on the lattice can be identified as a \"tachyonic crystal\", a regular, alternating-si"},"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":"1001.4215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-24T01:25:19Z","cross_cats_sorted":[],"title_canon_sha256":"1a2c47596fdf9f72aee49459d244e85f36f5e71f74ff1e060088ea9d660b1169","abstract_canon_sha256":"e3bfadd0df6bd27b83485e3955ec4f51f9d92a68bfe5b44c4f2cd6b65b67e38d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:49.301232Z","signature_b64":"gsoREN1VTTG1MszWKAJhsej7WtKrH7oE4jwKIRCn3cUgtOTScPj7AkZ4krsHJ2xtBbrhfMt7xxw4QWs7YhajBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3e3c23d88dd2d160b9af31d035d04fade0d6344c89b95d5f1e5a1527a7da5fc","last_reissued_at":"2026-05-18T02:33:49.300803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:49.300803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tachyonic crystals and the laminar instability of the perturbative vacuum in asymptotically free gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. B. Thacker","submitted_at":"2010-01-24T01:25:19Z","abstract_excerpt":"Lattice Monte Carlo studies in SU(3) gauge theory have shown that the topological charge distribution in the vacuum is dominated by thin coherent membranes of codimension one arranged in a layered, alternating-sign sandwich. A similar lamination of topological charge occurs in the 2D $CP^{N-1}$ model. In holographic QCD, the observed topological charge sheets are naturally interpreted as $D6$ branes wrapped around an $S_4$.. With this interpretation, the laminated array of topological charge membranes observed on the lattice can be identified as a \"tachyonic crystal\", a regular, alternating-si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4215","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":"1001.4215","created_at":"2026-05-18T02:33:49.300867+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.4215v1","created_at":"2026-05-18T02:33:49.300867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4215","created_at":"2026-05-18T02:33:49.300867+00:00"},{"alias_kind":"pith_short_12","alias_value":"4PR4EPMI3UWR","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"4PR4EPMI3UWRMC42","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"4PR4EPMI","created_at":"2026-05-18T12:26:04.259169+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/4PR4EPMI3UWRMC426MOQGXIE7L","json":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L.json","graph_json":"https://pith.science/api/pith-number/4PR4EPMI3UWRMC426MOQGXIE7L/graph.json","events_json":"https://pith.science/api/pith-number/4PR4EPMI3UWRMC426MOQGXIE7L/events.json","paper":"https://pith.science/paper/4PR4EPMI"},"agent_actions":{"view_html":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L","download_json":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L.json","view_paper":"https://pith.science/paper/4PR4EPMI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.4215&json=true","fetch_graph":"https://pith.science/api/pith-number/4PR4EPMI3UWRMC426MOQGXIE7L/graph.json","fetch_events":"https://pith.science/api/pith-number/4PR4EPMI3UWRMC426MOQGXIE7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L/action/storage_attestation","attest_author":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L/action/author_attestation","sign_citation":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L/action/citation_signature","submit_replication":"https://pith.science/pith/4PR4EPMI3UWRMC426MOQGXIE7L/action/replication_record"}},"created_at":"2026-05-18T02:33:49.300867+00:00","updated_at":"2026-05-18T02:33:49.300867+00:00"}