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Khatsymovsky","submitted_at":"2026-01-05T15:00:36Z","abstract_excerpt":"We consider correctly defining the perturbative expansion in a discrete gravity (simplicial or Regge calculus) needed to study physical effects like graviton loop corrections to Newton's potential.\n  For the symmetric derivative $\\Delta^{(s)}_\\lambda=i\\sin p_\\lambda$ in the finite-difference action, the propagator has a graviton pole at $\\sin^2p_0=\\sum^3_{\\alpha=1}\\sin^2p_\\alpha$, or, at small $p_\\alpha$, at $p_0$ close to 0 or $\\pm\\pi$. This pole doubling means doubling the result of integration over d$p_0$ compared to the continuum.\n  The usual derivative $\\Delta_\\lambda=\\exp(ip_\\lambda)-1$ "},"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":"2601.02181","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-05T15:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"bf99d73b551a18e7094865d460e5c3ba6392dcca36f8bbedb9efbac9cc7bb069","abstract_canon_sha256":"fad74325b977344e93477226ec9619bf0a91ae08544434eb34918aa4e7a7825f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:12.253186Z","signature_b64":"dCK3oth6PJOvf5oWPSjJ+y+CqGs2AJvqGl0yKkRU278lvUF9NLalicquWaA9jiuD5wODw8XVj/5/7hrUkgHwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53c892004c1a79dceb093648b9fa21d3cd0df445cb3a90db21c0a0b3a3a3efd6","last_reissued_at":"2026-06-09T01:05:12.252611Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:12.252611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards the consistent perturbative expansion in discrete gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"V.M. 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This pole doubling means doubling the result of integration over d$p_0$ compared to the continuum.\n  The usual derivative $\\Delta_\\lambda=\\exp(ip_\\lambda)-1$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.02181","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.02181/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2601.02181","created_at":"2026-06-09T01:05:12.252681+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.02181v3","created_at":"2026-06-09T01:05:12.252681+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.02181","created_at":"2026-06-09T01:05:12.252681+00:00"},{"alias_kind":"pith_short_12","alias_value":"KPEJEACMDJ45","created_at":"2026-06-09T01:05:12.252681+00:00"},{"alias_kind":"pith_short_16","alias_value":"KPEJEACMDJ45Z2YJ","created_at":"2026-06-09T01:05:12.252681+00:00"},{"alias_kind":"pith_short_8","alias_value":"KPEJEACM","created_at":"2026-06-09T01:05:12.252681+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/KPEJEACMDJ45Z2YJGZELT6RB2P","json":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P.json","graph_json":"https://pith.science/api/pith-number/KPEJEACMDJ45Z2YJGZELT6RB2P/graph.json","events_json":"https://pith.science/api/pith-number/KPEJEACMDJ45Z2YJGZELT6RB2P/events.json","paper":"https://pith.science/paper/KPEJEACM"},"agent_actions":{"view_html":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P","download_json":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P.json","view_paper":"https://pith.science/paper/KPEJEACM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.02181&json=true","fetch_graph":"https://pith.science/api/pith-number/KPEJEACMDJ45Z2YJGZELT6RB2P/graph.json","fetch_events":"https://pith.science/api/pith-number/KPEJEACMDJ45Z2YJGZELT6RB2P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P/action/storage_attestation","attest_author":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P/action/author_attestation","sign_citation":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P/action/citation_signature","submit_replication":"https://pith.science/pith/KPEJEACMDJ45Z2YJGZELT6RB2P/action/replication_record"}},"created_at":"2026-06-09T01:05:12.252681+00:00","updated_at":"2026-06-09T01:05:12.252681+00:00"}