{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WSUNAH225IK55ZAMNRUVCWMM7Q","short_pith_number":"pith:WSUNAH22","canonical_record":{"source":{"id":"1901.09598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-28T11:05:16Z","cross_cats_sorted":[],"title_canon_sha256":"9d2265223d8adf93f3d068c241b7848da80346da8e695d90c66242acc6d72fa6","abstract_canon_sha256":"ea0d0765f315213aee3b0af4ef341f16b594b9bdbbd8d4e1f8ec8a589ccf1caa"},"schema_version":"1.0"},"canonical_sha256":"b4a8d01f5aea15dee40c6c6951598cfc13dda9fd77463cd96b61a171f167f659","source":{"kind":"arxiv","id":"1901.09598","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09598","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09598v1","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09598","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"WSUNAH225IK5","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WSUNAH225IK55ZAM","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WSUNAH22","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WSUNAH225IK55ZAMNRUVCWMM7Q","target":"record","payload":{"canonical_record":{"source":{"id":"1901.09598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-28T11:05:16Z","cross_cats_sorted":[],"title_canon_sha256":"9d2265223d8adf93f3d068c241b7848da80346da8e695d90c66242acc6d72fa6","abstract_canon_sha256":"ea0d0765f315213aee3b0af4ef341f16b594b9bdbbd8d4e1f8ec8a589ccf1caa"},"schema_version":"1.0"},"canonical_sha256":"b4a8d01f5aea15dee40c6c6951598cfc13dda9fd77463cd96b61a171f167f659","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:24.361607Z","signature_b64":"ubSP+a2XeSX2L/IPi60x0CttDz3b24Y6EW5Dhp/9Us73xqW5b2TAs1I/MT3fFJXaBNIe4ae19iFeiH0o1weKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a8d01f5aea15dee40c6c6951598cfc13dda9fd77463cd96b61a171f167f659","last_reissued_at":"2026-05-17T23:55:24.361244Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:24.361244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.09598","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":"2026-05-17T23:55:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"19X/6w9LMRypCcsSkY+V+fGikp6uYvW/HtYrpqb4C1VxmnOl1+1mVDGNI9ic+THzWOC2OsY1vpO9bsOoljr3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:01:00.558982Z"},"content_sha256":"9b0259b7119407d2f250248cebf1bd4d71bd15df1cf9f1127c48b0e893371063","schema_version":"1.0","event_id":"sha256:9b0259b7119407d2f250248cebf1bd4d71bd15df1cf9f1127c48b0e893371063"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WSUNAH225IK55ZAMNRUVCWMM7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of Perturbations with a Strong Interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"V.I. Yukalov","submitted_at":"2019-01-28T11:05:16Z","abstract_excerpt":"This is one of the two papers where the optimized perturbation theory was first formulated. The other paper is published in Theor. Math. Phys. 28, 652--660 (1976). The main idea of the theory is to reorganize the perturbative sequence by introducing control functions, defined by optimization conditions, so that the reorganized approximation sequence be convergent. In the present paper, the theory of perturbations is suggested for statistical systems in the absence of small interaction parameters. A new form is advanced for self-consistent conditions defining the optimal parameters for trial Gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09598","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":"2026-05-17T23:55:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7zQGiEZz6i+rPTJsv2bakuyTat3FkFCcEKhywM9omOIetxWTBWESUvdRCo2QXRhvRiM4w0IUf80EpKHfGc9TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:01:00.559338Z"},"content_sha256":"10061a0ce4098d348fa54155fab70e7c7524864b35d3345e4bdc3ed2ca0604a3","schema_version":"1.0","event_id":"sha256:10061a0ce4098d348fa54155fab70e7c7524864b35d3345e4bdc3ed2ca0604a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/bundle.json","state_url":"https://pith.science/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/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":"2026-06-02T08:01:00Z","links":{"resolver":"https://pith.science/pith/WSUNAH225IK55ZAMNRUVCWMM7Q","bundle":"https://pith.science/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/bundle.json","state":"https://pith.science/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSUNAH225IK55ZAMNRUVCWMM7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WSUNAH225IK55ZAMNRUVCWMM7Q","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":"ea0d0765f315213aee3b0af4ef341f16b594b9bdbbd8d4e1f8ec8a589ccf1caa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-28T11:05:16Z","title_canon_sha256":"9d2265223d8adf93f3d068c241b7848da80346da8e695d90c66242acc6d72fa6"},"schema_version":"1.0","source":{"id":"1901.09598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09598","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09598v1","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09598","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"WSUNAH225IK5","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WSUNAH225IK55ZAM","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WSUNAH22","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:10061a0ce4098d348fa54155fab70e7c7524864b35d3345e4bdc3ed2ca0604a3","target":"graph","created_at":"2026-05-17T23:55:24Z","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":"This is one of the two papers where the optimized perturbation theory was first formulated. The other paper is published in Theor. Math. Phys. 28, 652--660 (1976). The main idea of the theory is to reorganize the perturbative sequence by introducing control functions, defined by optimization conditions, so that the reorganized approximation sequence be convergent. In the present paper, the theory of perturbations is suggested for statistical systems in the absence of small interaction parameters. A new form is advanced for self-consistent conditions defining the optimal parameters for trial Gr","authors_text":"V.I. Yukalov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-28T11:05:16Z","title":"Theory of Perturbations with a Strong Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09598","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":"sha256:9b0259b7119407d2f250248cebf1bd4d71bd15df1cf9f1127c48b0e893371063","target":"record","created_at":"2026-05-17T23:55:24Z","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":"ea0d0765f315213aee3b0af4ef341f16b594b9bdbbd8d4e1f8ec8a589ccf1caa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-28T11:05:16Z","title_canon_sha256":"9d2265223d8adf93f3d068c241b7848da80346da8e695d90c66242acc6d72fa6"},"schema_version":"1.0","source":{"id":"1901.09598","kind":"arxiv","version":1}},"canonical_sha256":"b4a8d01f5aea15dee40c6c6951598cfc13dda9fd77463cd96b61a171f167f659","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a8d01f5aea15dee40c6c6951598cfc13dda9fd77463cd96b61a171f167f659","first_computed_at":"2026-05-17T23:55:24.361244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:24.361244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ubSP+a2XeSX2L/IPi60x0CttDz3b24Y6EW5Dhp/9Us73xqW5b2TAs1I/MT3fFJXaBNIe4ae19iFeiH0o1weKBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:24.361607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.09598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b0259b7119407d2f250248cebf1bd4d71bd15df1cf9f1127c48b0e893371063","sha256:10061a0ce4098d348fa54155fab70e7c7524864b35d3345e4bdc3ed2ca0604a3"],"state_sha256":"73a9814f4de1a3b77648bf7d351efc70e48e85e00d5a5d7f90aecc28441fc532"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/lj4s5bO1o9w6VLcEImu+smhRdV07340dF/SDGuQIXByyi8FjsI5xDJxFnFrJ8+W6lVK4ixfyfl+BqLqXB+bBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:01:00.561299Z","bundle_sha256":"5d8d4fb31cb72073bfe80f9794ee7feaed4375ba8aac524d0f1693cf111fee25"}}