{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PK6D4QULV3HIJLB3YE4XMFXYOP","short_pith_number":"pith:PK6D4QUL","schema_version":"1.0","canonical_sha256":"7abc3e428baece84ac3bc1397616f873cc8c76677466f35d4dbaaeeca42df2ba","source":{"kind":"arxiv","id":"1210.7535","version":1},"attestation_state":"computed","paper":{"title":"Power counting renormalizability of scalar theory in Lifshitz spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Takayuki Hirayama","submitted_at":"2012-10-25T16:59:41Z","abstract_excerpt":"We analyse the power counting renormalizability of scalar theory in Lifshitz spacetime in D+2 dimensions. We show the spectral dimension becomes 2+(D/z) (z is the critical exponent) after integrating out the radion field. We comment on the AdS/CFT correspondence, and on how to avoid the Lifshitz singularity by flowing into AdS spacetime in the infrared. We also comment on the quantum gravity in Lifshitz spacetime."},"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":"1210.7535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-10-25T16:59:41Z","cross_cats_sorted":[],"title_canon_sha256":"5c316f39dcb1432bea1f6f45287847e1bb35466d2f15a139800bfc4397f83ebd","abstract_canon_sha256":"868e67cf0c94a96011ff59ac6371f91ddd0ed3336c138dc3da919285f88bd1e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:09.620822Z","signature_b64":"SRzSbNPL39aeEF/QnXe9zzxR0gyWb9nl8v48+9mRGxV7M1EU6ynTBtcyTLdzof9guGnytaA7LIbTKIgOsZJEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7abc3e428baece84ac3bc1397616f873cc8c76677466f35d4dbaaeeca42df2ba","last_reissued_at":"2026-05-18T03:42:09.619915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:09.619915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Power counting renormalizability of scalar theory in Lifshitz spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Takayuki Hirayama","submitted_at":"2012-10-25T16:59:41Z","abstract_excerpt":"We analyse the power counting renormalizability of scalar theory in Lifshitz spacetime in D+2 dimensions. We show the spectral dimension becomes 2+(D/z) (z is the critical exponent) after integrating out the radion field. We comment on the AdS/CFT correspondence, and on how to avoid the Lifshitz singularity by flowing into AdS spacetime in the infrared. We also comment on the quantum gravity in Lifshitz spacetime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7535","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":"1210.7535","created_at":"2026-05-18T03:42:09.620071+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.7535v1","created_at":"2026-05-18T03:42:09.620071+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7535","created_at":"2026-05-18T03:42:09.620071+00:00"},{"alias_kind":"pith_short_12","alias_value":"PK6D4QULV3HI","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PK6D4QULV3HIJLB3","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PK6D4QUL","created_at":"2026-05-18T12:27:18.751474+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/PK6D4QULV3HIJLB3YE4XMFXYOP","json":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP.json","graph_json":"https://pith.science/api/pith-number/PK6D4QULV3HIJLB3YE4XMFXYOP/graph.json","events_json":"https://pith.science/api/pith-number/PK6D4QULV3HIJLB3YE4XMFXYOP/events.json","paper":"https://pith.science/paper/PK6D4QUL"},"agent_actions":{"view_html":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP","download_json":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP.json","view_paper":"https://pith.science/paper/PK6D4QUL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.7535&json=true","fetch_graph":"https://pith.science/api/pith-number/PK6D4QULV3HIJLB3YE4XMFXYOP/graph.json","fetch_events":"https://pith.science/api/pith-number/PK6D4QULV3HIJLB3YE4XMFXYOP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP/action/storage_attestation","attest_author":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP/action/author_attestation","sign_citation":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP/action/citation_signature","submit_replication":"https://pith.science/pith/PK6D4QULV3HIJLB3YE4XMFXYOP/action/replication_record"}},"created_at":"2026-05-18T03:42:09.620071+00:00","updated_at":"2026-05-18T03:42:09.620071+00:00"}