{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:C3DI6YELPNNU5BW4U4OK7ZYTRM","short_pith_number":"pith:C3DI6YEL","canonical_record":{"source":{"id":"1911.03606","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-09T03:38:37Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c2aa68f78435377777db362b833adbcb52441507f7718ec099f253acc82f6576","abstract_canon_sha256":"cc169879716e9a32569ad2fa617e40bb78f35d8f6277abcfed6ffeca887eef9d"},"schema_version":"1.0"},"canonical_sha256":"16c68f608b7b5b4e86dca71cafe7138b1f5a8299a1dd0720f788d9c6e49ff3cc","source":{"kind":"arxiv","id":"1911.03606","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.03606","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1911.03606v2","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.03606","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"C3DI6YELPNNU","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_16","alias_value":"C3DI6YELPNNU5BW4","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_8","alias_value":"C3DI6YEL","created_at":"2026-07-05T00:23:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:C3DI6YELPNNU5BW4U4OK7ZYTRM","target":"record","payload":{"canonical_record":{"source":{"id":"1911.03606","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-09T03:38:37Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c2aa68f78435377777db362b833adbcb52441507f7718ec099f253acc82f6576","abstract_canon_sha256":"cc169879716e9a32569ad2fa617e40bb78f35d8f6277abcfed6ffeca887eef9d"},"schema_version":"1.0"},"canonical_sha256":"16c68f608b7b5b4e86dca71cafe7138b1f5a8299a1dd0720f788d9c6e49ff3cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:23:08.331915Z","signature_b64":"asIAVrqVVPDuYeKb3uLhVKAJqKJX5nPepiKsqPw+NOqmevx9w+8JTx3rYLnegm0gITvwRyJ8mwYu4hSkfodVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16c68f608b7b5b4e86dca71cafe7138b1f5a8299a1dd0720f788d9c6e49ff3cc","last_reissued_at":"2026-07-05T00:23:08.331520Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:23:08.331520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.03606","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":"2026-07-05T00:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OPT9EXPqRWtRFfT4Y17eckH/7+I8O8YJBoYxH36hWKNagjCPg8MpMFcGyS2b0GwGj4t3fSI/jeGBPbtS8QPHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:30:53.384339Z"},"content_sha256":"5c570caac3c3aaed24db642e18f65a844643289dc1f095f9491a670c2156ba9a","schema_version":"1.0","event_id":"sha256:5c570caac3c3aaed24db642e18f65a844643289dc1f095f9491a670c2156ba9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:C3DI6YELPNNU5BW4U4OK7ZYTRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correspondence of cosmology from non-extensive thermodynamics with fluids of generalized equation of state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Emmanuel N. Saridakis, R. Myrzakulov, Sergei D. Odintsov, Shin'ichi Nojiri","submitted_at":"2019-11-09T03:38:37Z","abstract_excerpt":"We show that there is a correspondence between cosmology from non-extensive thermodynamics and cosmology with fluids of redefined and generalized equation of state. We first establish the correspondence in the case of basic non-extensive thermodynamics, and then we proceed by investigating the more consistent case, from the quantum field theoretical point of view, of varying exponent, namely depending on the scale. The obtained duality provides a way of explaining the complicated phenomenological forms of the effective fluid equation-of-state parameters that are being broadly used in the liter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.03606","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/1911.03606/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":"2026-07-05T00:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DwIitcymwWqb9UoJo3UPFagKNPgr6FzqFiaBxseeA29X8vtDGmYEHiVgWFf9b8iQCHXzu5OJGaHYQ38x9izsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:30:53.384856Z"},"content_sha256":"cd41418481d0f896a50cd1b577fc9956956488d01fad76d407f0527d54c2dbd7","schema_version":"1.0","event_id":"sha256:cd41418481d0f896a50cd1b577fc9956956488d01fad76d407f0527d54c2dbd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/bundle.json","state_url":"https://pith.science/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/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":"2026-08-04T21:30:53Z","links":{"resolver":"https://pith.science/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM","bundle":"https://pith.science/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/bundle.json","state":"https://pith.science/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3DI6YELPNNU5BW4U4OK7ZYTRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:C3DI6YELPNNU5BW4U4OK7ZYTRM","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":"cc169879716e9a32569ad2fa617e40bb78f35d8f6277abcfed6ffeca887eef9d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-09T03:38:37Z","title_canon_sha256":"c2aa68f78435377777db362b833adbcb52441507f7718ec099f253acc82f6576"},"schema_version":"1.0","source":{"id":"1911.03606","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.03606","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1911.03606v2","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.03606","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"C3DI6YELPNNU","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_16","alias_value":"C3DI6YELPNNU5BW4","created_at":"2026-07-05T00:23:08Z"},{"alias_kind":"pith_short_8","alias_value":"C3DI6YEL","created_at":"2026-07-05T00:23:08Z"}],"graph_snapshots":[{"event_id":"sha256:cd41418481d0f896a50cd1b577fc9956956488d01fad76d407f0527d54c2dbd7","target":"graph","created_at":"2026-07-05T00:23:08Z","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/1911.03606/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that there is a correspondence between cosmology from non-extensive thermodynamics and cosmology with fluids of redefined and generalized equation of state. We first establish the correspondence in the case of basic non-extensive thermodynamics, and then we proceed by investigating the more consistent case, from the quantum field theoretical point of view, of varying exponent, namely depending on the scale. The obtained duality provides a way of explaining the complicated phenomenological forms of the effective fluid equation-of-state parameters that are being broadly used in the liter","authors_text":"Emmanuel N. Saridakis, R. Myrzakulov, Sergei D. Odintsov, Shin'ichi Nojiri","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-09T03:38:37Z","title":"Correspondence of cosmology from non-extensive thermodynamics with fluids of generalized equation of state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.03606","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":"sha256:5c570caac3c3aaed24db642e18f65a844643289dc1f095f9491a670c2156ba9a","target":"record","created_at":"2026-07-05T00:23:08Z","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":"cc169879716e9a32569ad2fa617e40bb78f35d8f6277abcfed6ffeca887eef9d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-11-09T03:38:37Z","title_canon_sha256":"c2aa68f78435377777db362b833adbcb52441507f7718ec099f253acc82f6576"},"schema_version":"1.0","source":{"id":"1911.03606","kind":"arxiv","version":2}},"canonical_sha256":"16c68f608b7b5b4e86dca71cafe7138b1f5a8299a1dd0720f788d9c6e49ff3cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16c68f608b7b5b4e86dca71cafe7138b1f5a8299a1dd0720f788d9c6e49ff3cc","first_computed_at":"2026-07-05T00:23:08.331520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:23:08.331520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"asIAVrqVVPDuYeKb3uLhVKAJqKJX5nPepiKsqPw+NOqmevx9w+8JTx3rYLnegm0gITvwRyJ8mwYu4hSkfodVAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:23:08.331915Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.03606","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c570caac3c3aaed24db642e18f65a844643289dc1f095f9491a670c2156ba9a","sha256:cd41418481d0f896a50cd1b577fc9956956488d01fad76d407f0527d54c2dbd7"],"state_sha256":"a74597c8cdab3303092d33a037e4eadcaeea433a22d2f4d004fe12f24971db5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yoLaZ1Hl7bxSGv6FclXopsXIuxMOyzYb30GrqfXNuDCO2D1FM1NeXEDE58Wnf75y/hsulxdZ1fCc2tVR+g2nAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:30:53.387796Z","bundle_sha256":"579d4e2d2624bb2ff7268219d00c8617da770181084145f182ce8d319b302dc8"}}