{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TLBSXLP76Y4EJ3E3XZGQFXHJLO","short_pith_number":"pith:TLBSXLP7","schema_version":"1.0","canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","source":{"kind":"arxiv","id":"1606.04854","version":1},"attestation_state":"computed","paper":{"title":"Disordered Field Theory in $d=0$ and Distributional Zeta-Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"B. F. Svaiter, N. F. Svaiter","submitted_at":"2016-06-15T16:41:02Z","abstract_excerpt":"Recently we introduced a new technique for computing the average free energy of a system with quenched randomness. The basic tool of this technique is a distributional zeta-function. The distributional zeta-function is a complex function whose derivative at the origin yields the average free energy of the system as the sum of two contributions: the first one is a series in which all the integer moments of the partition function of the model contribute; the second one, which can not be written as a series of the integer moments, can be made as small as desired. In this paper we present a mathem"},"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":"1606.04854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-15T16:41:02Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"68674f2d5d053ff1150aa213005626a2d66f7e87981eda7faf9d694f87b7e867","abstract_canon_sha256":"242d44db2c564002377da15c891d59df1389e5fe00f9f813322ad4eb02ccf734"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:23.262393Z","signature_b64":"xuFb1dtsCDiQEKjt0KkSPqt3rrztFQpE2E8yyKJBta93DUUcSmPE2DJL53+AEoIlDPxMIcceKRLvTtJphIcwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","last_reissued_at":"2026-05-18T01:12:23.262059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:23.262059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Disordered Field Theory in $d=0$ and Distributional Zeta-Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"B. F. Svaiter, N. F. Svaiter","submitted_at":"2016-06-15T16:41:02Z","abstract_excerpt":"Recently we introduced a new technique for computing the average free energy of a system with quenched randomness. The basic tool of this technique is a distributional zeta-function. The distributional zeta-function is a complex function whose derivative at the origin yields the average free energy of the system as the sum of two contributions: the first one is a series in which all the integer moments of the partition function of the model contribute; the second one, which can not be written as a series of the integer moments, can be made as small as desired. In this paper we present a mathem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04854","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":"1606.04854","created_at":"2026-05-18T01:12:23.262109+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.04854v1","created_at":"2026-05-18T01:12:23.262109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04854","created_at":"2026-05-18T01:12:23.262109+00:00"},{"alias_kind":"pith_short_12","alias_value":"TLBSXLP76Y4E","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TLBSXLP76Y4EJ3E3","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TLBSXLP7","created_at":"2026-05-18T12:30:44.179134+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/TLBSXLP76Y4EJ3E3XZGQFXHJLO","json":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO.json","graph_json":"https://pith.science/api/pith-number/TLBSXLP76Y4EJ3E3XZGQFXHJLO/graph.json","events_json":"https://pith.science/api/pith-number/TLBSXLP76Y4EJ3E3XZGQFXHJLO/events.json","paper":"https://pith.science/paper/TLBSXLP7"},"agent_actions":{"view_html":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO","download_json":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO.json","view_paper":"https://pith.science/paper/TLBSXLP7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.04854&json=true","fetch_graph":"https://pith.science/api/pith-number/TLBSXLP76Y4EJ3E3XZGQFXHJLO/graph.json","fetch_events":"https://pith.science/api/pith-number/TLBSXLP76Y4EJ3E3XZGQFXHJLO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/action/storage_attestation","attest_author":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/action/author_attestation","sign_citation":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/action/citation_signature","submit_replication":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/action/replication_record"}},"created_at":"2026-05-18T01:12:23.262109+00:00","updated_at":"2026-05-18T01:12:23.262109+00:00"}