{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TZRDHHPGXWRSJMXSF3FSZKJ2RU","short_pith_number":"pith:TZRDHHPG","canonical_record":{"source":{"id":"1911.12431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-27T21:36:46Z","cross_cats_sorted":[],"title_canon_sha256":"1b516ab3c3c26533b64bf89c12fe20887dcb7c53a16b7f1e1fc1f0150a446ef9","abstract_canon_sha256":"0058543b762653c3c09f27abca7efbd682042490a6fe37c86c7ffa8c10559d1f"},"schema_version":"1.0"},"canonical_sha256":"9e62339de6bda324b2f22ecb2ca93a8d2823b77be57bdcca5a612421a88fe889","source":{"kind":"arxiv","id":"1911.12431","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12431","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12431v2","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12431","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"TZRDHHPGXWRS","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_16","alias_value":"TZRDHHPGXWRSJMXS","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_8","alias_value":"TZRDHHPG","created_at":"2026-07-05T00:41:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TZRDHHPGXWRSJMXSF3FSZKJ2RU","target":"record","payload":{"canonical_record":{"source":{"id":"1911.12431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-27T21:36:46Z","cross_cats_sorted":[],"title_canon_sha256":"1b516ab3c3c26533b64bf89c12fe20887dcb7c53a16b7f1e1fc1f0150a446ef9","abstract_canon_sha256":"0058543b762653c3c09f27abca7efbd682042490a6fe37c86c7ffa8c10559d1f"},"schema_version":"1.0"},"canonical_sha256":"9e62339de6bda324b2f22ecb2ca93a8d2823b77be57bdcca5a612421a88fe889","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:41:49.051496Z","signature_b64":"J9WqgUVhxEeX5WMhG4J3KSg5Wgdf/xEGA3noo8jvwF4RsAMvTail56+lozz2LWExFC0w2i8t3hKjkohnj9TKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e62339de6bda324b2f22ecb2ca93a8d2823b77be57bdcca5a612421a88fe889","last_reissued_at":"2026-07-05T00:41:49.051020Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:41:49.051020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.12431","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":"2026-07-05T00:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sXvO/uxpZG4eOV9E6vK7kXjhSmwSkQWUdxVRe/aA5hSjygg4F2/CraE+AnLcqxY3ZCVmwlhaL4+G8vZPII0yDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:31:29.580360Z"},"content_sha256":"d0e919c4fec48e927e3ea0bc26b1622a3a26e322e51ad686e89f7104fa4b8d26","schema_version":"1.0","event_id":"sha256:d0e919c4fec48e927e3ea0bc26b1622a3a26e322e51ad686e89f7104fa4b8d26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TZRDHHPGXWRSJMXSF3FSZKJ2RU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics and cosmological evolution in {\\Lambda}-varying cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andronikos Paliathanasis, G. Papagiannopoulos, Pavlina Tsiapi, Spyros Basilakos","submitted_at":"2019-11-27T21:36:46Z","abstract_excerpt":"We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of cosmological solutions which describe de-Sitter, radiation and matter dominated eras. We find several cases of varying vacuum models that admit stable critical points, hence they can be used in describing the cosmic history."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12431","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/1911.12431/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":"2026-07-05T00:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFez3Z+0SVV97YsT409n0VtOhkqqDPkTsvqSmMY88Vh/PHmZS0lV0rNgJXgnk+yElObQ4mqsBabpanhfjGg9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:31:29.581256Z"},"content_sha256":"33e541c0bcdab464b4169b6a5d75901357eef80a9c9f5fb6dacd5505696f9c49","schema_version":"1.0","event_id":"sha256:33e541c0bcdab464b4169b6a5d75901357eef80a9c9f5fb6dacd5505696f9c49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/bundle.json","state_url":"https://pith.science/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/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":"2026-08-12T09:31:29Z","links":{"resolver":"https://pith.science/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU","bundle":"https://pith.science/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/bundle.json","state":"https://pith.science/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZRDHHPGXWRSJMXSF3FSZKJ2RU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TZRDHHPGXWRSJMXSF3FSZKJ2RU","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":"0058543b762653c3c09f27abca7efbd682042490a6fe37c86c7ffa8c10559d1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-27T21:36:46Z","title_canon_sha256":"1b516ab3c3c26533b64bf89c12fe20887dcb7c53a16b7f1e1fc1f0150a446ef9"},"schema_version":"1.0","source":{"id":"1911.12431","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12431","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12431v2","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12431","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"TZRDHHPGXWRS","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_16","alias_value":"TZRDHHPGXWRSJMXS","created_at":"2026-07-05T00:41:49Z"},{"alias_kind":"pith_short_8","alias_value":"TZRDHHPG","created_at":"2026-07-05T00:41:49Z"}],"graph_snapshots":[{"event_id":"sha256:33e541c0bcdab464b4169b6a5d75901357eef80a9c9f5fb6dacd5505696f9c49","target":"graph","created_at":"2026-07-05T00:41:49Z","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/1911.12431/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of cosmological solutions which describe de-Sitter, radiation and matter dominated eras. We find several cases of varying vacuum models that admit stable critical points, hence they can be used in describing the cosmic history.","authors_text":"Andronikos Paliathanasis, G. Papagiannopoulos, Pavlina Tsiapi, Spyros Basilakos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-27T21:36:46Z","title":"Dynamics and cosmological evolution in {\\Lambda}-varying cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12431","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:d0e919c4fec48e927e3ea0bc26b1622a3a26e322e51ad686e89f7104fa4b8d26","target":"record","created_at":"2026-07-05T00:41:49Z","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":"0058543b762653c3c09f27abca7efbd682042490a6fe37c86c7ffa8c10559d1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-27T21:36:46Z","title_canon_sha256":"1b516ab3c3c26533b64bf89c12fe20887dcb7c53a16b7f1e1fc1f0150a446ef9"},"schema_version":"1.0","source":{"id":"1911.12431","kind":"arxiv","version":2}},"canonical_sha256":"9e62339de6bda324b2f22ecb2ca93a8d2823b77be57bdcca5a612421a88fe889","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e62339de6bda324b2f22ecb2ca93a8d2823b77be57bdcca5a612421a88fe889","first_computed_at":"2026-07-05T00:41:49.051020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:41:49.051020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J9WqgUVhxEeX5WMhG4J3KSg5Wgdf/xEGA3noo8jvwF4RsAMvTail56+lozz2LWExFC0w2i8t3hKjkohnj9TKDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:41:49.051496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.12431","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0e919c4fec48e927e3ea0bc26b1622a3a26e322e51ad686e89f7104fa4b8d26","sha256:33e541c0bcdab464b4169b6a5d75901357eef80a9c9f5fb6dacd5505696f9c49"],"state_sha256":"31d14bf642ec53b01fcd9b9a9b354f5bef1e029d826c93dd14e230eb7c0f7f0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f4kfZr+hTwUXBnJ/8IxtwYXWMPJqKbMbERoZ2+jQffpE/rFmm9MtfK2+ljnnKLK6JoFXwdp8KwZBJOauuqrGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:31:29.676812Z","bundle_sha256":"d86ea1554d46178aa22080b22cff75aa74d3c82021bd40ab55290c053ce88e1c"}}