{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SD7DFP7OQC3N2BD4K7TIQVMZOZ","short_pith_number":"pith:SD7DFP7O","canonical_record":{"source":{"id":"1212.4094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-17T18:35:09Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"0786fc506f5a1b588d5fe9f8e5b5483e69836a981adb3f53ae145e129592826b","abstract_canon_sha256":"72ebea6f8b81a7dca094e498d19b3ed41480c2a380e1a49cc77759934ca659df"},"schema_version":"1.0"},"canonical_sha256":"90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8","source":{"kind":"arxiv","id":"1212.4094","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4094","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4094v1","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4094","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"SD7DFP7OQC3N","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SD7DFP7OQC3N2BD4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SD7DFP7O","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SD7DFP7OQC3N2BD4K7TIQVMZOZ","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-17T18:35:09Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"0786fc506f5a1b588d5fe9f8e5b5483e69836a981adb3f53ae145e129592826b","abstract_canon_sha256":"72ebea6f8b81a7dca094e498d19b3ed41480c2a380e1a49cc77759934ca659df"},"schema_version":"1.0"},"canonical_sha256":"90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:19.864811Z","signature_b64":"YP+dkZIvL7BTWoddH+WgWk7jvtuPAuTTPx7DMbb7d31DMQHR81tkzQ7WxaDcZRUftf/inSTqXMWJzt2YxiWtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8","last_reissued_at":"2026-05-18T03:37:19.864414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:19.864414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4094","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":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nca5HB2LZzlNOrTOikdkzxQYvjh2Ov1C9F4OuqqPsijh3skfXeQMWm6nOnE8+wcj4318pRmeQx+/zFQ9Flh2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:12:01.719422Z"},"content_sha256":"023064cbc92f0181103186973072c702775242ab4c13e30053da786208c45a87","schema_version":"1.0","event_id":"sha256:023064cbc92f0181103186973072c702775242ab4c13e30053da786208c45a87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SD7DFP7OQC3N2BD4K7TIQVMZOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Alexander B. Balakin, Vladimir V. Bochkarev","submitted_at":"2012-12-17T18:35:09Z","abstract_excerpt":"We analyze late-time evolution of the Universe in the framework of the self-consistent model, in which the dark matter is influenced by the Archimedean-type force proportional to the four-gradient of the dark energy pressure. The dark energy is considered as a fluid with the equation of state of the relaxation type, which takes into account a retardation of the dark energy response to the Universe accelerated expansion. The dark matter is guided by the Archimedean-type force, which redistributes the total energy of the dark fluid between two its constituents, dark energy and dark matter, in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4094","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":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0T+5hDSS+dPx0bta4KFgU1M0dOCwS5z6AEpd8C3yQgiex5Ji23RlifIRs4ZDAnssI6fBzy8Plovj4Hnh0yEwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:12:01.719792Z"},"content_sha256":"e5110f68d1a448810c06fa873c48064f746b14c6d8703c8a76537a73c04d7d15","schema_version":"1.0","event_id":"sha256:e5110f68d1a448810c06fa873c48064f746b14c6d8703c8a76537a73c04d7d15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/bundle.json","state_url":"https://pith.science/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/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":"2026-06-03T08:12:01Z","links":{"resolver":"https://pith.science/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ","bundle":"https://pith.science/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/bundle.json","state":"https://pith.science/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SD7DFP7OQC3N2BD4K7TIQVMZOZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SD7DFP7OQC3N2BD4K7TIQVMZOZ","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":"72ebea6f8b81a7dca094e498d19b3ed41480c2a380e1a49cc77759934ca659df","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-17T18:35:09Z","title_canon_sha256":"0786fc506f5a1b588d5fe9f8e5b5483e69836a981adb3f53ae145e129592826b"},"schema_version":"1.0","source":{"id":"1212.4094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4094","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4094v1","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4094","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"SD7DFP7OQC3N","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SD7DFP7OQC3N2BD4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SD7DFP7O","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e5110f68d1a448810c06fa873c48064f746b14c6d8703c8a76537a73c04d7d15","target":"graph","created_at":"2026-05-18T03:37:19Z","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":"We analyze late-time evolution of the Universe in the framework of the self-consistent model, in which the dark matter is influenced by the Archimedean-type force proportional to the four-gradient of the dark energy pressure. The dark energy is considered as a fluid with the equation of state of the relaxation type, which takes into account a retardation of the dark energy response to the Universe accelerated expansion. The dark matter is guided by the Archimedean-type force, which redistributes the total energy of the dark fluid between two its constituents, dark energy and dark matter, in th","authors_text":"Alexander B. Balakin, Vladimir V. Bochkarev","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-17T18:35:09Z","title":"Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4094","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":"sha256:023064cbc92f0181103186973072c702775242ab4c13e30053da786208c45a87","target":"record","created_at":"2026-05-18T03:37:19Z","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":"72ebea6f8b81a7dca094e498d19b3ed41480c2a380e1a49cc77759934ca659df","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-17T18:35:09Z","title_canon_sha256":"0786fc506f5a1b588d5fe9f8e5b5483e69836a981adb3f53ae145e129592826b"},"schema_version":"1.0","source":{"id":"1212.4094","kind":"arxiv","version":1}},"canonical_sha256":"90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8","first_computed_at":"2026-05-18T03:37:19.864414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:19.864414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YP+dkZIvL7BTWoddH+WgWk7jvtuPAuTTPx7DMbb7d31DMQHR81tkzQ7WxaDcZRUftf/inSTqXMWJzt2YxiWtCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:19.864811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:023064cbc92f0181103186973072c702775242ab4c13e30053da786208c45a87","sha256:e5110f68d1a448810c06fa873c48064f746b14c6d8703c8a76537a73c04d7d15"],"state_sha256":"d924099a11fcf009c2ccb7ed10ef74475ec0c505e44e2e0b8b06883a0d9eb0eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lGVe9UWwY+zXwA9r2LUzYFUblB+EBXLzUY1Sps8V1C3w+NZ/99n9tVUKf1LKmv0YBNZ3ZCDwqg13PIlyxbtIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:12:01.722004Z","bundle_sha256":"d0a8a4290b5f445c9cbdb95a7e38b2fc9f748dee5d53f3f213562e6dbec3a945"}}