{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:5K6XTAPPDAA77KVTGUUIA5ZJLL","short_pith_number":"pith:5K6XTAPP","canonical_record":{"source":{"id":"hep-th/0501025","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-05T07:43:00Z","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"title_canon_sha256":"7773ee06143f03b2209800f7906f6fbe633f35e40f8049e12b24ab876f08c914","abstract_canon_sha256":"bec63f93d3e826a27c3eba0f2f71f96efbaa59de687cc859eacbf15e06f8730b"},"schema_version":"1.0"},"canonical_sha256":"eabd7981ef1801ffaab335288077295ac4430ff7d2af834c54de3dcd0658d9bc","source":{"kind":"arxiv","id":"hep-th/0501025","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501025","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501025v2","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501025","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"5K6XTAPPDAA7","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_16","alias_value":"5K6XTAPPDAA77KVT","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_8","alias_value":"5K6XTAPP","created_at":"2026-07-04T15:49:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:5K6XTAPPDAA77KVTGUUIA5ZJLL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0501025","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-05T07:43:00Z","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"title_canon_sha256":"7773ee06143f03b2209800f7906f6fbe633f35e40f8049e12b24ab876f08c914","abstract_canon_sha256":"bec63f93d3e826a27c3eba0f2f71f96efbaa59de687cc859eacbf15e06f8730b"},"schema_version":"1.0"},"canonical_sha256":"eabd7981ef1801ffaab335288077295ac4430ff7d2af834c54de3dcd0658d9bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:49:58.197443Z","signature_b64":"LGq4uNmU0ktpr8zEdFKRdSE07uQVsC1pMLNp4/0FElvQUCjkrGOahjFQrm+dwELFihQARCnSaK58qhKDY0GjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eabd7981ef1801ffaab335288077295ac4430ff7d2af834c54de3dcd0658d9bc","last_reissued_at":"2026-07-04T15:49:58.197040Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:49:58.197040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0501025","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":"2026-07-04T15:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vrEeMwhrPPklK+epR/DVs886QlrbGGkWCUYhYVNGiuCZXH3JLXMk3+kpEHVQOC/UZlyze4DKDVTJPSoDTi8OCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T18:37:36.874802Z"},"content_sha256":"aa532c21a11eea342a0439fd8f4ee92b62496989972a23185a9caa69d57f9c5c","schema_version":"1.0","event_id":"sha256:aa532c21a11eea342a0439fd8f4ee92b62496989972a23185a9caa69d57f9c5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:5K6XTAPPDAA77KVTGUUIA5ZJLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of singularities in (phantom) dark energy universe","license":"","headline":"","cross_cats":["astro-ph","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri, Shinji Tsujikawa","submitted_at":"2005-01-05T07:43:00Z","abstract_excerpt":"The properties of future singularities are investigated in the universe dominated by dark energy including the phantom-type fluid. We classify the finite-time singularities into four classes and explicitly present the models which give rise to these singularities by assuming the form of the equation of state of dark energy. We show the existence of a stable fixed point with an equation of state $w<-1$ and numerically confirm that this is actually a late-time attractor in the phantom-dominated universe. We also construct a phantom dark energy scenario coupled to dark matter that reproduces sing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501025","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/hep-th/0501025/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":"2026-07-04T15:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zGeI9LK2mxDMUcUR7EP8TsOVGFFVeSxaNK80O5W/ihNG48McLZnLyjqtFGnzafNr5xPDstsxsrEskI3s5OUfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T18:37:36.875317Z"},"content_sha256":"dc3c8ea09e5bbb579b6b85b670000ce877b82aae9098d863f102870f5eb44a95","schema_version":"1.0","event_id":"sha256:dc3c8ea09e5bbb579b6b85b670000ce877b82aae9098d863f102870f5eb44a95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/bundle.json","state_url":"https://pith.science/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/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":"2026-08-01T18:37:36Z","links":{"resolver":"https://pith.science/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL","bundle":"https://pith.science/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/bundle.json","state":"https://pith.science/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5K6XTAPPDAA77KVTGUUIA5ZJLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:5K6XTAPPDAA77KVTGUUIA5ZJLL","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":"bec63f93d3e826a27c3eba0f2f71f96efbaa59de687cc859eacbf15e06f8730b","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-05T07:43:00Z","title_canon_sha256":"7773ee06143f03b2209800f7906f6fbe633f35e40f8049e12b24ab876f08c914"},"schema_version":"1.0","source":{"id":"hep-th/0501025","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501025","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501025v2","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501025","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"5K6XTAPPDAA7","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_16","alias_value":"5K6XTAPPDAA77KVT","created_at":"2026-07-04T15:49:58Z"},{"alias_kind":"pith_short_8","alias_value":"5K6XTAPP","created_at":"2026-07-04T15:49:58Z"}],"graph_snapshots":[{"event_id":"sha256:dc3c8ea09e5bbb579b6b85b670000ce877b82aae9098d863f102870f5eb44a95","target":"graph","created_at":"2026-07-04T15:49:58Z","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/hep-th/0501025/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The properties of future singularities are investigated in the universe dominated by dark energy including the phantom-type fluid. We classify the finite-time singularities into four classes and explicitly present the models which give rise to these singularities by assuming the form of the equation of state of dark energy. We show the existence of a stable fixed point with an equation of state $w<-1$ and numerically confirm that this is actually a late-time attractor in the phantom-dominated universe. We also construct a phantom dark energy scenario coupled to dark matter that reproduces sing","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri, Shinji Tsujikawa","cross_cats":["astro-ph","gr-qc","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-01-05T07:43:00Z","title":"Properties of singularities in (phantom) dark energy universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501025","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:aa532c21a11eea342a0439fd8f4ee92b62496989972a23185a9caa69d57f9c5c","target":"record","created_at":"2026-07-04T15:49:58Z","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":"bec63f93d3e826a27c3eba0f2f71f96efbaa59de687cc859eacbf15e06f8730b","cross_cats_sorted":["astro-ph","gr-qc","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-05T07:43:00Z","title_canon_sha256":"7773ee06143f03b2209800f7906f6fbe633f35e40f8049e12b24ab876f08c914"},"schema_version":"1.0","source":{"id":"hep-th/0501025","kind":"arxiv","version":2}},"canonical_sha256":"eabd7981ef1801ffaab335288077295ac4430ff7d2af834c54de3dcd0658d9bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eabd7981ef1801ffaab335288077295ac4430ff7d2af834c54de3dcd0658d9bc","first_computed_at":"2026-07-04T15:49:58.197040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:49:58.197040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGq4uNmU0ktpr8zEdFKRdSE07uQVsC1pMLNp4/0FElvQUCjkrGOahjFQrm+dwELFihQARCnSaK58qhKDY0GjBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:49:58.197443Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0501025","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa532c21a11eea342a0439fd8f4ee92b62496989972a23185a9caa69d57f9c5c","sha256:dc3c8ea09e5bbb579b6b85b670000ce877b82aae9098d863f102870f5eb44a95"],"state_sha256":"024293b0a8421c4d879804449ba1923dcb750e83089ffb050b1dba3eafe28eba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d+u9eI7m/w/B/B8+x5mUizqlQyvzRpRvGajqQzxfav4SbX8vJhtRGZMrDu87CFVkM6yrF4v3f0Ix1Esm62u3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T18:37:36.878913Z","bundle_sha256":"ba52eabfd9a034248090c05fed882d3e2831bd2d7960633f778af14dfefa3f14"}}