{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:W4COGKZRKW24GFBCQXG4Q4B6MI","short_pith_number":"pith:W4COGKZR","canonical_record":{"source":{"id":"gr-qc/0610080","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-10-16T11:58:26Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"7ef563d2c150c1b5267013cf79ac139ae3f75e3bff197aeb9120680881c4b06b","abstract_canon_sha256":"fa639e0361051c4e91882a5a91fbc2056eb62c16f28e0934165640fc612f0330"},"schema_version":"1.0"},"canonical_sha256":"b704e32b3155b5c3142285cdc8703e620cb2a8d203092218931f6f62c5e7dbd3","source":{"kind":"arxiv","id":"gr-qc/0610080","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0610080","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0610080v2","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0610080","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"W4COGKZRKW24","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_16","alias_value":"W4COGKZRKW24GFBC","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_8","alias_value":"W4COGKZR","created_at":"2026-07-04T15:17:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:W4COGKZRKW24GFBCQXG4Q4B6MI","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0610080","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-10-16T11:58:26Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"7ef563d2c150c1b5267013cf79ac139ae3f75e3bff197aeb9120680881c4b06b","abstract_canon_sha256":"fa639e0361051c4e91882a5a91fbc2056eb62c16f28e0934165640fc612f0330"},"schema_version":"1.0"},"canonical_sha256":"b704e32b3155b5c3142285cdc8703e620cb2a8d203092218931f6f62c5e7dbd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:17:02.802408Z","signature_b64":"zj+WlV8OeNhKIVYsE2IqMObKbAHijtwWihcyTLIztGAAx869wS3XBu9HTnaj7VBmAHK7a2jpZi55x9NecdkJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b704e32b3155b5c3142285cdc8703e620cb2a8d203092218931f6f62c5e7dbd3","last_reissued_at":"2026-07-04T15:17:02.801972Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:17:02.801972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0610080","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjcRlNMpFUOmBeiZhw7qWuY42Yu10VjEHc9Pd+hjnNmoKfqQ7mBqu1gyBhJh2cWNxOCoe3tSpycW9cBzNq15Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:20:55.420209Z"},"content_sha256":"8d2794ebf53b5409fb984e148dbcab086698c05da6e8c35c5fd21482bf0eca63","schema_version":"1.0","event_id":"sha256:8d2794ebf53b5409fb984e148dbcab086698c05da6e8c35c5fd21482bf0eca63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:W4COGKZRKW24GFBCQXG4Q4B6MI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological coincidence problem in interacting dark energy models","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"H. Mohseni Sadjadi, M. Alimohammadi","submitted_at":"2006-10-16T11:58:26Z","abstract_excerpt":"An interacting dark energy model with interaction term $Q= \\lambda_m H\\rho_m+\\lambda_dH\\rho_d$ is considered. By studying the model near the transition time, in which the system crosses the w=-1 phantom-divide-line, the conditions needed to overcome the coincidence problem is investigated. The phantom model, as a candidate for dark energy, is considered and for two specific examples, the quadratic and exponential phantom potentials, it is shown that it is possible the system crosses the w=-1 line, meanwhile the coincidence problem is alleviated, the two facts that have root in observations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0610080","kind":"arxiv","version":2},"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/gr-qc/0610080/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":"2026-07-04T15:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QyyjUbSXC7H0NFQYZKUGGyblLEAO7eU0Zf8LBF5P2gKxF/REwhmqf04G7Y7k3iCoL3Z878C1fV9gHU6Ja4X0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:20:55.420705Z"},"content_sha256":"a7ae65834489c1fdda5fce771553b1d1080e9b46d7a6f216c4c96a0e5ce7b31d","schema_version":"1.0","event_id":"sha256:a7ae65834489c1fdda5fce771553b1d1080e9b46d7a6f216c4c96a0e5ce7b31d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/bundle.json","state_url":"https://pith.science/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/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":"2026-08-15T13:20:55Z","links":{"resolver":"https://pith.science/pith/W4COGKZRKW24GFBCQXG4Q4B6MI","bundle":"https://pith.science/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/bundle.json","state":"https://pith.science/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4COGKZRKW24GFBCQXG4Q4B6MI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:W4COGKZRKW24GFBCQXG4Q4B6MI","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":"fa639e0361051c4e91882a5a91fbc2056eb62c16f28e0934165640fc612f0330","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-10-16T11:58:26Z","title_canon_sha256":"7ef563d2c150c1b5267013cf79ac139ae3f75e3bff197aeb9120680881c4b06b"},"schema_version":"1.0","source":{"id":"gr-qc/0610080","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0610080","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0610080v2","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0610080","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"W4COGKZRKW24","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_16","alias_value":"W4COGKZRKW24GFBC","created_at":"2026-07-04T15:17:02Z"},{"alias_kind":"pith_short_8","alias_value":"W4COGKZR","created_at":"2026-07-04T15:17:02Z"}],"graph_snapshots":[{"event_id":"sha256:a7ae65834489c1fdda5fce771553b1d1080e9b46d7a6f216c4c96a0e5ce7b31d","target":"graph","created_at":"2026-07-04T15:17:02Z","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/gr-qc/0610080/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An interacting dark energy model with interaction term $Q= \\lambda_m H\\rho_m+\\lambda_dH\\rho_d$ is considered. By studying the model near the transition time, in which the system crosses the w=-1 phantom-divide-line, the conditions needed to overcome the coincidence problem is investigated. The phantom model, as a candidate for dark energy, is considered and for two specific examples, the quadratic and exponential phantom potentials, it is shown that it is possible the system crosses the w=-1 line, meanwhile the coincidence problem is alleviated, the two facts that have root in observations.","authors_text":"H. Mohseni Sadjadi, M. Alimohammadi","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-10-16T11:58:26Z","title":"Cosmological coincidence problem in interacting dark energy models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0610080","kind":"arxiv","version":2},"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":"sha256:8d2794ebf53b5409fb984e148dbcab086698c05da6e8c35c5fd21482bf0eca63","target":"record","created_at":"2026-07-04T15:17:02Z","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":"fa639e0361051c4e91882a5a91fbc2056eb62c16f28e0934165640fc612f0330","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-10-16T11:58:26Z","title_canon_sha256":"7ef563d2c150c1b5267013cf79ac139ae3f75e3bff197aeb9120680881c4b06b"},"schema_version":"1.0","source":{"id":"gr-qc/0610080","kind":"arxiv","version":2}},"canonical_sha256":"b704e32b3155b5c3142285cdc8703e620cb2a8d203092218931f6f62c5e7dbd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b704e32b3155b5c3142285cdc8703e620cb2a8d203092218931f6f62c5e7dbd3","first_computed_at":"2026-07-04T15:17:02.801972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:17:02.801972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zj+WlV8OeNhKIVYsE2IqMObKbAHijtwWihcyTLIztGAAx869wS3XBu9HTnaj7VBmAHK7a2jpZi55x9NecdkJDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:17:02.802408Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0610080","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d2794ebf53b5409fb984e148dbcab086698c05da6e8c35c5fd21482bf0eca63","sha256:a7ae65834489c1fdda5fce771553b1d1080e9b46d7a6f216c4c96a0e5ce7b31d"],"state_sha256":"ef63f3b63d2e26b2bcf1dd9c792018125e6d37319c20ffac14446c1d90fc5ab2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRirbKNAickQGA5goJ/W8GPApENPGqs1UrbN5oR7WGZ5sjYqUUBkNpv00Me57MTiCKQ/TvtUaCejlvlFdQIHCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:20:55.426028Z","bundle_sha256":"b0e764d17f26c98c2a71ba1dd269f87ee0bff73542e09584d966f1cfdb62cf15"}}