{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EBAYIUZMDQL5YOCC33Z5CSOQK4","short_pith_number":"pith:EBAYIUZM","schema_version":"1.0","canonical_sha256":"204184532c1c17dc3842def3d149d0571733410750690da60769e9427dd841be","source":{"kind":"arxiv","id":"2606.19480","version":1},"attestation_state":"computed","paper":{"title":"sft-wick: A formalism and package for Feynman-diagram expansion and evaluation in stochastic field theories","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["astro-ph.CO","cond-mat.stat-mech","gr-qc"],"primary_cat":"physics.comp-ph","authors_text":"Zheng Zhang","submitted_at":"2026-06-17T18:13:16Z","abstract_excerpt":"When stochastic field dynamics are cast into a path-integral formulation, perturbation theory becomes systematic but the resulting expansion quickly grows combinatorially large. The setting targeted here includes multi-component, multi-dimensional fields with matrix propagators, tensor-valued couplings, and non-Gaussian driving noise specified by arbitrary $n$-point cumulants. Wick pairings grow factorially, and component indices must be routed through the tensor-valued vertices. The useful output is not a raw contraction list, but a diagram table: one entry per topology, with multiplicities, "},"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":"2606.19480","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T18:13:16Z","cross_cats_sorted":["astro-ph.CO","cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"db5782c37814c1e285af98cebed39075307e2a8c09c063b509bdcf219c0cea58","abstract_canon_sha256":"865aecbb42fa145c16bb7280ac1fa9eb07a343768be17b8169a18f793ea4ecfc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:26.877111Z","signature_b64":"C+O3G/nUZkjs+oyAYqYSM+iaEpU1+vNykRts97/x7CIlL4AjyQp5f/2iUbCggzKtLZf56TjcvivYSAW6A4keBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204184532c1c17dc3842def3d149d0571733410750690da60769e9427dd841be","last_reissued_at":"2026-06-19T16:12:26.876761Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:26.876761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"sft-wick: A formalism and package for Feynman-diagram expansion and evaluation in stochastic field theories","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["astro-ph.CO","cond-mat.stat-mech","gr-qc"],"primary_cat":"physics.comp-ph","authors_text":"Zheng Zhang","submitted_at":"2026-06-17T18:13:16Z","abstract_excerpt":"When stochastic field dynamics are cast into a path-integral formulation, perturbation theory becomes systematic but the resulting expansion quickly grows combinatorially large. The setting targeted here includes multi-component, multi-dimensional fields with matrix propagators, tensor-valued couplings, and non-Gaussian driving noise specified by arbitrary $n$-point cumulants. Wick pairings grow factorially, and component indices must be routed through the tensor-valued vertices. The useful output is not a raw contraction list, but a diagram table: one entry per topology, with multiplicities, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19480","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.19480/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":"2606.19480","created_at":"2026-06-19T16:12:26.876821+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.19480v1","created_at":"2026-06-19T16:12:26.876821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19480","created_at":"2026-06-19T16:12:26.876821+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBAYIUZMDQL5","created_at":"2026-06-19T16:12:26.876821+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBAYIUZMDQL5YOCC","created_at":"2026-06-19T16:12:26.876821+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBAYIUZM","created_at":"2026-06-19T16:12:26.876821+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/EBAYIUZMDQL5YOCC33Z5CSOQK4","json":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4.json","graph_json":"https://pith.science/api/pith-number/EBAYIUZMDQL5YOCC33Z5CSOQK4/graph.json","events_json":"https://pith.science/api/pith-number/EBAYIUZMDQL5YOCC33Z5CSOQK4/events.json","paper":"https://pith.science/paper/EBAYIUZM"},"agent_actions":{"view_html":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4","download_json":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4.json","view_paper":"https://pith.science/paper/EBAYIUZM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.19480&json=true","fetch_graph":"https://pith.science/api/pith-number/EBAYIUZMDQL5YOCC33Z5CSOQK4/graph.json","fetch_events":"https://pith.science/api/pith-number/EBAYIUZMDQL5YOCC33Z5CSOQK4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4/action/storage_attestation","attest_author":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4/action/author_attestation","sign_citation":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4/action/citation_signature","submit_replication":"https://pith.science/pith/EBAYIUZMDQL5YOCC33Z5CSOQK4/action/replication_record"}},"created_at":"2026-06-19T16:12:26.876821+00:00","updated_at":"2026-06-19T16:12:26.876821+00:00"}