{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:6XKUIBNLG2CQ2DFYL2YTGLV7NN","short_pith_number":"pith:6XKUIBNL","canonical_record":{"source":{"id":"2104.11296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-22T19:43:28Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"1ebdb183efdde5ded1f7497bf59c0a15f2aa96f3d75a5a64e3738ad1fe255f66","abstract_canon_sha256":"154d87857d771166f2ac824d68b9eaba654097fe8bd61f0368a32285ab96624b"},"schema_version":"1.0"},"canonical_sha256":"f5d54405ab36850d0cb85eb1332ebf6b742cfc94addca95c2421a2880ea5e8dc","source":{"kind":"arxiv","id":"2104.11296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.11296","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2104.11296v1","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11296","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"6XKUIBNLG2CQ","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"6XKUIBNLG2CQ2DFY","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"6XKUIBNL","created_at":"2026-07-05T02:34:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:6XKUIBNLG2CQ2DFYL2YTGLV7NN","target":"record","payload":{"canonical_record":{"source":{"id":"2104.11296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-22T19:43:28Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"1ebdb183efdde5ded1f7497bf59c0a15f2aa96f3d75a5a64e3738ad1fe255f66","abstract_canon_sha256":"154d87857d771166f2ac824d68b9eaba654097fe8bd61f0368a32285ab96624b"},"schema_version":"1.0"},"canonical_sha256":"f5d54405ab36850d0cb85eb1332ebf6b742cfc94addca95c2421a2880ea5e8dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:34:22.598516Z","signature_b64":"Ooxnm8LnFwurefXo68he8XiCPHtJ/WaOvnqZtCYfsCQ4dSnaHuOs+vKgwmBCDEfMUwow6kEQIHsAYah6hmc+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5d54405ab36850d0cb85eb1332ebf6b742cfc94addca95c2421a2880ea5e8dc","last_reissued_at":"2026-07-05T02:34:22.598046Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:34:22.598046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.11296","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":"2026-07-05T02:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nMK2xkznw1BK1P6iLouYbZfrU5PeYWoFKrKtkToMKcyZ2isHjUON8Z8/SlnS3ShpytGsoVCBMgkS1qqCSziUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:13:08.789221Z"},"content_sha256":"6c63b5dcd96d3c63ea191de1403124d9b4e6effe0c3d1a2e8c6eb1979f2d48b5","schema_version":"1.0","event_id":"sha256:6c63b5dcd96d3c63ea191de1403124d9b4e6effe0c3d1a2e8c6eb1979f2d48b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:6XKUIBNLG2CQ2DFYL2YTGLV7NN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and Dark Matter Freeze-out","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Anish Ghoshal, Gaetano Lambiase","submitted_at":"2021-04-22T19:43:28Z","abstract_excerpt":"We consider Tsallis cosmology as an approach to thermodynamic gravity and derive the bound on the Tsallis parameter to be $\\beta<2$ by using the constraints derived from the formation of the primordial light elements, Helium, Deuterium and Litium, from the observational data from Big Bang Nucleosynthesis (BBN) which allows only a very tiny deviation from General Relativity (GR). Next we consider thermal dark matter (DM) freeze-out mechanism in Tsallis cosmological era and derive bounds on the Tsallis parameter from the observed DM relic abundance to be $1-\\beta < 10^{-5}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11296","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.11296/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":"2026-07-05T02:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5HxbT98SO4B9sv+iZnRlE/FGOkIsmaJ2BsgMxB+l4LW1VtdRbP3xerRG4SMzRxwUePl4ACBiAMyD8OBlzjqhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:13:08.789603Z"},"content_sha256":"349bc79656206723a5b665e74c73e271defbaab33dabc581995e2251cb73057d","schema_version":"1.0","event_id":"sha256:349bc79656206723a5b665e74c73e271defbaab33dabc581995e2251cb73057d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/bundle.json","state_url":"https://pith.science/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/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":"2026-08-07T12:13:08Z","links":{"resolver":"https://pith.science/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN","bundle":"https://pith.science/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/bundle.json","state":"https://pith.science/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6XKUIBNLG2CQ2DFYL2YTGLV7NN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6XKUIBNLG2CQ2DFYL2YTGLV7NN","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":"154d87857d771166f2ac824d68b9eaba654097fe8bd61f0368a32285ab96624b","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-22T19:43:28Z","title_canon_sha256":"1ebdb183efdde5ded1f7497bf59c0a15f2aa96f3d75a5a64e3738ad1fe255f66"},"schema_version":"1.0","source":{"id":"2104.11296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.11296","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2104.11296v1","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11296","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"6XKUIBNLG2CQ","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"6XKUIBNLG2CQ2DFY","created_at":"2026-07-05T02:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"6XKUIBNL","created_at":"2026-07-05T02:34:22Z"}],"graph_snapshots":[{"event_id":"sha256:349bc79656206723a5b665e74c73e271defbaab33dabc581995e2251cb73057d","target":"graph","created_at":"2026-07-05T02:34:22Z","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/2104.11296/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider Tsallis cosmology as an approach to thermodynamic gravity and derive the bound on the Tsallis parameter to be $\\beta<2$ by using the constraints derived from the formation of the primordial light elements, Helium, Deuterium and Litium, from the observational data from Big Bang Nucleosynthesis (BBN) which allows only a very tiny deviation from General Relativity (GR). Next we consider thermal dark matter (DM) freeze-out mechanism in Tsallis cosmological era and derive bounds on the Tsallis parameter from the observed DM relic abundance to be $1-\\beta < 10^{-5}$.","authors_text":"Anish Ghoshal, Gaetano Lambiase","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-22T19:43:28Z","title":"Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and Dark Matter Freeze-out"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11296","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":"sha256:6c63b5dcd96d3c63ea191de1403124d9b4e6effe0c3d1a2e8c6eb1979f2d48b5","target":"record","created_at":"2026-07-05T02:34:22Z","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":"154d87857d771166f2ac824d68b9eaba654097fe8bd61f0368a32285ab96624b","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-22T19:43:28Z","title_canon_sha256":"1ebdb183efdde5ded1f7497bf59c0a15f2aa96f3d75a5a64e3738ad1fe255f66"},"schema_version":"1.0","source":{"id":"2104.11296","kind":"arxiv","version":1}},"canonical_sha256":"f5d54405ab36850d0cb85eb1332ebf6b742cfc94addca95c2421a2880ea5e8dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5d54405ab36850d0cb85eb1332ebf6b742cfc94addca95c2421a2880ea5e8dc","first_computed_at":"2026-07-05T02:34:22.598046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:34:22.598046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ooxnm8LnFwurefXo68he8XiCPHtJ/WaOvnqZtCYfsCQ4dSnaHuOs+vKgwmBCDEfMUwow6kEQIHsAYah6hmc+Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:34:22.598516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.11296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c63b5dcd96d3c63ea191de1403124d9b4e6effe0c3d1a2e8c6eb1979f2d48b5","sha256:349bc79656206723a5b665e74c73e271defbaab33dabc581995e2251cb73057d"],"state_sha256":"b6c227929344b8bcbb8cc0c89f6fcfb53c48e053d83f6ce581facc31818aecee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjhYLitCxONpbWHb6RpZQ6pABHN5bqCE2j5fC6QmdRfcCrU256+xNOTe4M1zEi3jxidTW3Jgh40I+OpDwstoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:13:08.792469Z","bundle_sha256":"e76d2e61324d9f7086a855b9aa6b6f673b1a2e016e21b89ffcb32234955a9209"}}