{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:DEEBJD72UROZ4XRGOOORNBCS6K","short_pith_number":"pith:DEEBJD72","canonical_record":{"source":{"id":"cond-mat/9904122","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-04-09T08:50:19Z","cross_cats_sorted":[],"title_canon_sha256":"b273196966bd43eb553f8898de93370de23dd862a3668ca6893a12366c7fc10a","abstract_canon_sha256":"31100b22131709f45b81cca42b3e5c7a533174af5784f0c8ec55f69f2f4ed738"},"schema_version":"1.0"},"canonical_sha256":"1908148ffaa45d9e5e26739d168452f283c468520d6fa1e78a9702c8cf6e8ce7","source":{"kind":"arxiv","id":"cond-mat/9904122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9904122","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9904122v1","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9904122","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"DEEBJD72UROZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"DEEBJD72UROZ4XRG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"DEEBJD72","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:DEEBJD72UROZ4XRGOOORNBCS6K","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9904122","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-04-09T08:50:19Z","cross_cats_sorted":[],"title_canon_sha256":"b273196966bd43eb553f8898de93370de23dd862a3668ca6893a12366c7fc10a","abstract_canon_sha256":"31100b22131709f45b81cca42b3e5c7a533174af5784f0c8ec55f69f2f4ed738"},"schema_version":"1.0"},"canonical_sha256":"1908148ffaa45d9e5e26739d168452f283c468520d6fa1e78a9702c8cf6e8ce7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:29.110574Z","signature_b64":"ToyiJvwx4vXo2OCq6OTC1eFmWcp7+FnTlb/BIGEYlhA2nb4JxZyqHo9XcoSktUwmBRP7kzSArtFBa+9FrudqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1908148ffaa45d9e5e26739d168452f283c468520d6fa1e78a9702c8cf6e8ce7","last_reissued_at":"2026-05-18T01:39:29.109924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:29.109924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9904122","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":"2026-05-18T01:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ca1fxXE8ls2rwpYwh6Yo8DJR6RdId/YnyDeQxLxF8rRwaz50R8cF6sERE2g7Ozo4+XNKuyeOVAnKEfZ3/ydpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:20:19.084838Z"},"content_sha256":"a0eef6800dedae7e59f648f58380cda6e458f7adf1385737dfcfcc86054b171c","schema_version":"1.0","event_id":"sha256:a0eef6800dedae7e59f648f58380cda6e458f7adf1385737dfcfcc86054b171c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:DEEBJD72UROZ4XRGOOORNBCS6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coulomb systems at low density","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"David C. Brydges, Ph. A. Martin","submitted_at":"1999-04-09T08:50:19Z","abstract_excerpt":"Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system -- Debye-H\\\"uckel screening -- is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detailed calculations that determine the asymptotic decay of correlations for quantum systems are discussed. Theorems on the existence of molecules in the Saha regime are reviewed. Finally, new combinatori"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9904122","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":"2026-05-18T01:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6RzHzgW+EtdK9dXrLXNR/zpt5v+CLkUv2MA1z8PVuo3yE/5AiUSIz3SN/pR5zQXMdh5a41rtmnmH97eVvnVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:20:19.085484Z"},"content_sha256":"3b7ce4ce713ad3865a1edf3a65347f7563f550ac25272ed2bc06c613fdc05f0d","schema_version":"1.0","event_id":"sha256:3b7ce4ce713ad3865a1edf3a65347f7563f550ac25272ed2bc06c613fdc05f0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEEBJD72UROZ4XRGOOORNBCS6K/bundle.json","state_url":"https://pith.science/pith/DEEBJD72UROZ4XRGOOORNBCS6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEEBJD72UROZ4XRGOOORNBCS6K/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":"2026-05-31T09:20:19Z","links":{"resolver":"https://pith.science/pith/DEEBJD72UROZ4XRGOOORNBCS6K","bundle":"https://pith.science/pith/DEEBJD72UROZ4XRGOOORNBCS6K/bundle.json","state":"https://pith.science/pith/DEEBJD72UROZ4XRGOOORNBCS6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEEBJD72UROZ4XRGOOORNBCS6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:DEEBJD72UROZ4XRGOOORNBCS6K","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":"31100b22131709f45b81cca42b3e5c7a533174af5784f0c8ec55f69f2f4ed738","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-04-09T08:50:19Z","title_canon_sha256":"b273196966bd43eb553f8898de93370de23dd862a3668ca6893a12366c7fc10a"},"schema_version":"1.0","source":{"id":"cond-mat/9904122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9904122","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9904122v1","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9904122","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"DEEBJD72UROZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"DEEBJD72UROZ4XRG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"DEEBJD72","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:3b7ce4ce713ad3865a1edf3a65347f7563f550ac25272ed2bc06c613fdc05f0d","target":"graph","created_at":"2026-05-18T01:39:29Z","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":"Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system -- Debye-H\\\"uckel screening -- is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detailed calculations that determine the asymptotic decay of correlations for quantum systems are discussed. Theorems on the existence of molecules in the Saha regime are reviewed. Finally, new combinatori","authors_text":"David C. Brydges, Ph. A. Martin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-04-09T08:50:19Z","title":"Coulomb systems at low density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9904122","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:a0eef6800dedae7e59f648f58380cda6e458f7adf1385737dfcfcc86054b171c","target":"record","created_at":"2026-05-18T01:39:29Z","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":"31100b22131709f45b81cca42b3e5c7a533174af5784f0c8ec55f69f2f4ed738","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-04-09T08:50:19Z","title_canon_sha256":"b273196966bd43eb553f8898de93370de23dd862a3668ca6893a12366c7fc10a"},"schema_version":"1.0","source":{"id":"cond-mat/9904122","kind":"arxiv","version":1}},"canonical_sha256":"1908148ffaa45d9e5e26739d168452f283c468520d6fa1e78a9702c8cf6e8ce7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1908148ffaa45d9e5e26739d168452f283c468520d6fa1e78a9702c8cf6e8ce7","first_computed_at":"2026-05-18T01:39:29.109924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:29.109924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ToyiJvwx4vXo2OCq6OTC1eFmWcp7+FnTlb/BIGEYlhA2nb4JxZyqHo9XcoSktUwmBRP7kzSArtFBa+9FrudqDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:29.110574Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9904122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0eef6800dedae7e59f648f58380cda6e458f7adf1385737dfcfcc86054b171c","sha256:3b7ce4ce713ad3865a1edf3a65347f7563f550ac25272ed2bc06c613fdc05f0d"],"state_sha256":"4dd09c8feb13ca40ac444a5ed47ae02c25f04199e6d70cf1dca5f81527b1eb85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+FkKGE9BEqyEOor1H3tU3Tv+PTOTThLk0o4yhTwEwz54lcTveQrWNYlaiWpGXQbv6cau4twwFzQxJ9t9gp6oBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:20:19.089358Z","bundle_sha256":"4a1cf983f4ef33e6ad9808d2c4dc0099b89241403199948315ead419e921b156"}}