{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:32V4XXYL3FFIXS4A4HIO3SQGR3","short_pith_number":"pith:32V4XXYL","canonical_record":{"source":{"id":"2108.12366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-27T15:58:31Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"d3937078e22505a8afdd3af0d460a6d2812810a1612c4695f5656bfeb5463846","abstract_canon_sha256":"52609a8aa2565c4ffd391e0ea493637ea1fb36724b5053a36fee1b6b4838a64a"},"schema_version":"1.0"},"canonical_sha256":"deabcbdf0bd94a8bcb80e1d0edca068ecf00d5e9797cc56457cea8b432abdd45","source":{"kind":"arxiv","id":"2108.12366","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.12366","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"arxiv_version","alias_value":"2108.12366v2","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.12366","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_12","alias_value":"32V4XXYL3FFI","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_16","alias_value":"32V4XXYL3FFIXS4A","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_8","alias_value":"32V4XXYL","created_at":"2026-07-05T03:37:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:32V4XXYL3FFIXS4A4HIO3SQGR3","target":"record","payload":{"canonical_record":{"source":{"id":"2108.12366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-27T15:58:31Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"d3937078e22505a8afdd3af0d460a6d2812810a1612c4695f5656bfeb5463846","abstract_canon_sha256":"52609a8aa2565c4ffd391e0ea493637ea1fb36724b5053a36fee1b6b4838a64a"},"schema_version":"1.0"},"canonical_sha256":"deabcbdf0bd94a8bcb80e1d0edca068ecf00d5e9797cc56457cea8b432abdd45","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:37:45.350930Z","signature_b64":"HOt3Uxow5EbXxCjZJefC5NAFvaUVMYXonBrWZzqAwwt75S51Zh9oTxQBnNYlEBcomCbrDU4AlbJKLKs057WeCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deabcbdf0bd94a8bcb80e1d0edca068ecf00d5e9797cc56457cea8b432abdd45","last_reissued_at":"2026-07-05T03:37:45.350445Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:37:45.350445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.12366","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":"2026-07-05T03:37:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wmFB1aVvHLkfq/bZMlPAs7N7ATu4DIbi6QSj7oUjizCpOpVPRWTSAotnH4WLJ6gIkcZN6Po8wysN318JtAjHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:40:59.334223Z"},"content_sha256":"ed804f9938481306c599a27f85acaa9289043bc98ff141857921492b92e89fa2","schema_version":"1.0","event_id":"sha256:ed804f9938481306c599a27f85acaa9289043bc98ff141857921492b92e89fa2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:32V4XXYL3FFIXS4A4HIO3SQGR3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified cosmology through Kaniadakis horizon entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Andreas Lymperis, Emmanuel N. Saridakis, Spyros Basilakos","submitted_at":"2021-08-27T15:58:31Z","abstract_excerpt":"We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein-Hawking one. The former is a one-parameter generalization of the classical Boltzmann-Gibbs-Shannon entropy, arising from a coherent and self-consistent relativistic statistical theory. We obtain new modified cosmological scenarios, namely modified Friedmann equations, which contain new extra terms that constitute an effective dark energy sector depending on the single model Kaniadakis parameter $K$. We in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.12366","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/2108.12366/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":"2026-07-05T03:37:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxp3mLzYhbIUPkpp19wrkqigFQu48cKq0KQ03XsuUjWO6yV6wqLRlDwpvtWDeNOO5lgwbDzWNHeTnyM4K4fDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:40:59.335211Z"},"content_sha256":"9ad0ca36d828753a9dde80984b5943f3e697f77774c7f01f254963df7b496564","schema_version":"1.0","event_id":"sha256:9ad0ca36d828753a9dde80984b5943f3e697f77774c7f01f254963df7b496564"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/bundle.json","state_url":"https://pith.science/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/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":"2026-08-10T05:40:59Z","links":{"resolver":"https://pith.science/pith/32V4XXYL3FFIXS4A4HIO3SQGR3","bundle":"https://pith.science/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/bundle.json","state":"https://pith.science/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32V4XXYL3FFIXS4A4HIO3SQGR3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:32V4XXYL3FFIXS4A4HIO3SQGR3","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":"52609a8aa2565c4ffd391e0ea493637ea1fb36724b5053a36fee1b6b4838a64a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-27T15:58:31Z","title_canon_sha256":"d3937078e22505a8afdd3af0d460a6d2812810a1612c4695f5656bfeb5463846"},"schema_version":"1.0","source":{"id":"2108.12366","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.12366","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"arxiv_version","alias_value":"2108.12366v2","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.12366","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_12","alias_value":"32V4XXYL3FFI","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_16","alias_value":"32V4XXYL3FFIXS4A","created_at":"2026-07-05T03:37:45Z"},{"alias_kind":"pith_short_8","alias_value":"32V4XXYL","created_at":"2026-07-05T03:37:45Z"}],"graph_snapshots":[{"event_id":"sha256:9ad0ca36d828753a9dde80984b5943f3e697f77774c7f01f254963df7b496564","target":"graph","created_at":"2026-07-05T03:37:45Z","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/2108.12366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein-Hawking one. The former is a one-parameter generalization of the classical Boltzmann-Gibbs-Shannon entropy, arising from a coherent and self-consistent relativistic statistical theory. We obtain new modified cosmological scenarios, namely modified Friedmann equations, which contain new extra terms that constitute an effective dark energy sector depending on the single model Kaniadakis parameter $K$. We in","authors_text":"Andreas Lymperis, Emmanuel N. Saridakis, Spyros Basilakos","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-27T15:58:31Z","title":"Modified cosmology through Kaniadakis horizon entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.12366","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:ed804f9938481306c599a27f85acaa9289043bc98ff141857921492b92e89fa2","target":"record","created_at":"2026-07-05T03:37:45Z","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":"52609a8aa2565c4ffd391e0ea493637ea1fb36724b5053a36fee1b6b4838a64a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-27T15:58:31Z","title_canon_sha256":"d3937078e22505a8afdd3af0d460a6d2812810a1612c4695f5656bfeb5463846"},"schema_version":"1.0","source":{"id":"2108.12366","kind":"arxiv","version":2}},"canonical_sha256":"deabcbdf0bd94a8bcb80e1d0edca068ecf00d5e9797cc56457cea8b432abdd45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deabcbdf0bd94a8bcb80e1d0edca068ecf00d5e9797cc56457cea8b432abdd45","first_computed_at":"2026-07-05T03:37:45.350445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:37:45.350445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOt3Uxow5EbXxCjZJefC5NAFvaUVMYXonBrWZzqAwwt75S51Zh9oTxQBnNYlEBcomCbrDU4AlbJKLKs057WeCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:37:45.350930Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.12366","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed804f9938481306c599a27f85acaa9289043bc98ff141857921492b92e89fa2","sha256:9ad0ca36d828753a9dde80984b5943f3e697f77774c7f01f254963df7b496564"],"state_sha256":"009b150b3c49461c05c755d61bbd07aff35464a33a6ab186360f671f73b60bcd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iiwDNVGZPJguqaIZ9oKbIyHfxO9ADxpob+SaXUAlkVV2LU/A3htrtzT8wCkahn7UdtWjWTrnrR6J023EXHHPDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T05:40:59.340380Z","bundle_sha256":"dc728016df9036092e99140eef8ebfbd3347c5032e20c876a66d203b944fe3c4"}}