{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TLBSXLP76Y4EJ3E3XZGQFXHJLO","short_pith_number":"pith:TLBSXLP7","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"},"canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","source":{"kind":"arxiv","id":"1606.04854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04854","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04854v1","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04854","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"TLBSXLP76Y4E","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLBSXLP76Y4EJ3E3","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLBSXLP7","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TLBSXLP76Y4EJ3E3XZGQFXHJLO","target":"record","payload":{"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"},"canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","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"},"source_kind":"arxiv","source_id":"1606.04854","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYfBDM7W2S5LCpwba4VRDknkHosNYhd0gEJzbss6JHiIB7NpTb29Uc+mY+lyzh7sSSe7sYuNdinKrpZlyt+tAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:42:30.836774Z"},"content_sha256":"29b4efc445213f126da38ac6d56c4dfdf26ad5feb6b269a76d4b064d5cceb8e4","schema_version":"1.0","event_id":"sha256:29b4efc445213f126da38ac6d56c4dfdf26ad5feb6b269a76d4b064d5cceb8e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TLBSXLP76Y4EJ3E3XZGQFXHJLO","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yRuLm/4RIbyWtgBTEQoksf16HrECEPWDsHeeHRxl4/69rIEdIcpBYxS/MGG7EZQ3Oqj3Q6bwzt4legBSdaf1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:42:30.837470Z"},"content_sha256":"13a4ef5520baf0a0d2dc49cd2653fc9f53e922dc85231468b70ad2a4ec8f03dd","schema_version":"1.0","event_id":"sha256:13a4ef5520baf0a0d2dc49cd2653fc9f53e922dc85231468b70ad2a4ec8f03dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/bundle.json","state_url":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T17:42:30Z","links":{"resolver":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO","bundle":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/bundle.json","state":"https://pith.science/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLBSXLP76Y4EJ3E3XZGQFXHJLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TLBSXLP76Y4EJ3E3XZGQFXHJLO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"242d44db2c564002377da15c891d59df1389e5fe00f9f813322ad4eb02ccf734","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-15T16:41:02Z","title_canon_sha256":"68674f2d5d053ff1150aa213005626a2d66f7e87981eda7faf9d694f87b7e867"},"schema_version":"1.0","source":{"id":"1606.04854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04854","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04854v1","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04854","created_at":"2026-05-18T01:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"TLBSXLP76Y4E","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLBSXLP76Y4EJ3E3","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLBSXLP7","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:13a4ef5520baf0a0d2dc49cd2653fc9f53e922dc85231468b70ad2a4ec8f03dd","target":"graph","created_at":"2026-05-18T01:12:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"B. F. Svaiter, N. F. Svaiter","cross_cats":["cond-mat.stat-mech","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-15T16:41:02Z","title":"Disordered Field Theory in $d=0$ and Distributional Zeta-Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04854","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:29b4efc445213f126da38ac6d56c4dfdf26ad5feb6b269a76d4b064d5cceb8e4","target":"record","created_at":"2026-05-18T01:12:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"242d44db2c564002377da15c891d59df1389e5fe00f9f813322ad4eb02ccf734","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-15T16:41:02Z","title_canon_sha256":"68674f2d5d053ff1150aa213005626a2d66f7e87981eda7faf9d694f87b7e867"},"schema_version":"1.0","source":{"id":"1606.04854","kind":"arxiv","version":1}},"canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac32badfff63844ec9bbe4d02dce95b980017a4873598f01c7ef2cadc4056f4","first_computed_at":"2026-05-18T01:12:23.262059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:23.262059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xuFb1dtsCDiQEKjt0KkSPqt3rrztFQpE2E8yyKJBta93DUUcSmPE2DJL53+AEoIlDPxMIcceKRLvTtJphIcwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:23.262393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b4efc445213f126da38ac6d56c4dfdf26ad5feb6b269a76d4b064d5cceb8e4","sha256:13a4ef5520baf0a0d2dc49cd2653fc9f53e922dc85231468b70ad2a4ec8f03dd"],"state_sha256":"7ddaef74a64a01c3495057dc8910ef6a23c338a1b42c3c443525cb5d339b8dd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1B9btgCGyQooyZQtjIIiuKLqSzUw6LdLR1HSiSaCBrJQUC+TrAuZIW4op4TZr1I57UKLOaFi1GLiFPRD+/PzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:42:30.841069Z","bundle_sha256":"6fc282eb9b65e0ca0a5e6ebec4e9341111bfa90d787227130ed0c51e6611a6f8"}}