{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:G553WLDUFV6LLZOONZPP3OSF4L","short_pith_number":"pith:G553WLDU","canonical_record":{"source":{"id":"cond-mat/9712283","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-12-24T05:20:18Z","cross_cats_sorted":[],"title_canon_sha256":"2c3909117c48386f8a409ae7a3b3ef2e9c66fdd5c24b294d6b9eac06f4101246","abstract_canon_sha256":"0dd974bbb4a783747124103bd4d942844c653ede04b4aa84c562288e25c8d8c4"},"schema_version":"1.0"},"canonical_sha256":"377bbb2c742d7cb5e5ce6e5efdba45e2c03c5cc3e3a8da59b09d844161511fe6","source":{"kind":"arxiv","id":"cond-mat/9712283","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9712283","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9712283v1","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9712283","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_12","alias_value":"G553WLDUFV6L","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_16","alias_value":"G553WLDUFV6LLZOO","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_8","alias_value":"G553WLDU","created_at":"2026-07-04T14:23:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:G553WLDUFV6LLZOONZPP3OSF4L","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9712283","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-12-24T05:20:18Z","cross_cats_sorted":[],"title_canon_sha256":"2c3909117c48386f8a409ae7a3b3ef2e9c66fdd5c24b294d6b9eac06f4101246","abstract_canon_sha256":"0dd974bbb4a783747124103bd4d942844c653ede04b4aa84c562288e25c8d8c4"},"schema_version":"1.0"},"canonical_sha256":"377bbb2c742d7cb5e5ce6e5efdba45e2c03c5cc3e3a8da59b09d844161511fe6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:23:00.898814Z","signature_b64":"R3rNGPo/V/v+oT7H+017hNo4cI9wK7DmSsXW/zSCg+mrMsWc/qg+pwMvehno7NQWQyhJA/ZsSITNf055NoXxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"377bbb2c742d7cb5e5ce6e5efdba45e2c03c5cc3e3a8da59b09d844161511fe6","last_reissued_at":"2026-07-04T14:23:00.898407Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:23:00.898407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9712283","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":"2026-07-04T14:23:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gHKgRT40xlkw7y2jCYzJdyEpWHBd2T+3H3rUuhMARmpNOBPwUd6qsqwhHHCRIz7drWNWH17caBwyTyVVW997BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:52:38.089847Z"},"content_sha256":"4196a727c3b64154e810140ed47447ec920c7bd25e4177df98754ea8c1298b57","schema_version":"1.0","event_id":"sha256:4196a727c3b64154e810140ed47447ec920c7bd25e4177df98754ea8c1298b57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:G553WLDUFV6LLZOONZPP3OSF4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Analytic Lanczos Method","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Australia), N.S. Witte (Research Centre for High Energy Physics, School of Physics, University of Melbourne","submitted_at":"1997-12-24T05:20:18Z","abstract_excerpt":"The classical formalism of the Moment Problem has been combined with a cumulant approach and applied to the extensive many-body problem. This has yielded many new exact results for many-body systems in the thermodynamic limit - for the ground state energy, for excited state gaps, and for arbitrary ground state averages. The method applies to any extensive Hamiltonian system, for any phase or symmetry arising in the model, whether on a lattice or in the continuum, and for any dimensionality. The theorems are of a nonperturbative nature with respect to any couplings occuring in the model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9712283","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/cond-mat/9712283/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:23:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYhUyR8yflFIU6wPpRhLVrH3LbzgXaHi99myfwzvNsstxzfn/M+/zbdZRF1db/aclCdC5tGgYPhtow9ED3f2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:52:38.090729Z"},"content_sha256":"c8cac1c1dc2c52b42d1130827b0c3d0522981e5e3f2ec9fe6d4a0c0b07df2df9","schema_version":"1.0","event_id":"sha256:c8cac1c1dc2c52b42d1130827b0c3d0522981e5e3f2ec9fe6d4a0c0b07df2df9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G553WLDUFV6LLZOONZPP3OSF4L/bundle.json","state_url":"https://pith.science/pith/G553WLDUFV6LLZOONZPP3OSF4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G553WLDUFV6LLZOONZPP3OSF4L/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":"2026-08-05T19:52:38Z","links":{"resolver":"https://pith.science/pith/G553WLDUFV6LLZOONZPP3OSF4L","bundle":"https://pith.science/pith/G553WLDUFV6LLZOONZPP3OSF4L/bundle.json","state":"https://pith.science/pith/G553WLDUFV6LLZOONZPP3OSF4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G553WLDUFV6LLZOONZPP3OSF4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:G553WLDUFV6LLZOONZPP3OSF4L","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":"0dd974bbb4a783747124103bd4d942844c653ede04b4aa84c562288e25c8d8c4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-12-24T05:20:18Z","title_canon_sha256":"2c3909117c48386f8a409ae7a3b3ef2e9c66fdd5c24b294d6b9eac06f4101246"},"schema_version":"1.0","source":{"id":"cond-mat/9712283","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9712283","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9712283v1","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9712283","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_12","alias_value":"G553WLDUFV6L","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_16","alias_value":"G553WLDUFV6LLZOO","created_at":"2026-07-04T14:23:00Z"},{"alias_kind":"pith_short_8","alias_value":"G553WLDU","created_at":"2026-07-04T14:23:00Z"}],"graph_snapshots":[{"event_id":"sha256:c8cac1c1dc2c52b42d1130827b0c3d0522981e5e3f2ec9fe6d4a0c0b07df2df9","target":"graph","created_at":"2026-07-04T14:23:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/9712283/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classical formalism of the Moment Problem has been combined with a cumulant approach and applied to the extensive many-body problem. This has yielded many new exact results for many-body systems in the thermodynamic limit - for the ground state energy, for excited state gaps, and for arbitrary ground state averages. The method applies to any extensive Hamiltonian system, for any phase or symmetry arising in the model, whether on a lattice or in the continuum, and for any dimensionality. The theorems are of a nonperturbative nature with respect to any couplings occuring in the model.","authors_text":"Australia), N.S. Witte (Research Centre for High Energy Physics, School of Physics, University of Melbourne","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-12-24T05:20:18Z","title":"The Analytic Lanczos Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9712283","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":"sha256:4196a727c3b64154e810140ed47447ec920c7bd25e4177df98754ea8c1298b57","target":"record","created_at":"2026-07-04T14:23:00Z","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":"0dd974bbb4a783747124103bd4d942844c653ede04b4aa84c562288e25c8d8c4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-12-24T05:20:18Z","title_canon_sha256":"2c3909117c48386f8a409ae7a3b3ef2e9c66fdd5c24b294d6b9eac06f4101246"},"schema_version":"1.0","source":{"id":"cond-mat/9712283","kind":"arxiv","version":1}},"canonical_sha256":"377bbb2c742d7cb5e5ce6e5efdba45e2c03c5cc3e3a8da59b09d844161511fe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"377bbb2c742d7cb5e5ce6e5efdba45e2c03c5cc3e3a8da59b09d844161511fe6","first_computed_at":"2026-07-04T14:23:00.898407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:23:00.898407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R3rNGPo/V/v+oT7H+017hNo4cI9wK7DmSsXW/zSCg+mrMsWc/qg+pwMvehno7NQWQyhJA/ZsSITNf055NoXxBg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:23:00.898814Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9712283","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4196a727c3b64154e810140ed47447ec920c7bd25e4177df98754ea8c1298b57","sha256:c8cac1c1dc2c52b42d1130827b0c3d0522981e5e3f2ec9fe6d4a0c0b07df2df9"],"state_sha256":"e36e51e119878969166c5fdeb385531e5775ac2992de9fcf264604b7d965aee6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XET/m3/tyULN69nE6tWT8k1TZKiYVHUwz0VFh8deuECW+Ad/vNKWNz7JzgtPvpLyCqERZD8sPtwPt9YXLARDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:52:38.101041Z","bundle_sha256":"e5425eefab1ab275b6809455a0be509efe55f48f0118d11caa9308b663d2dafc"}}