{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IAQNND7VBK6ISSBYWV365PVE24","short_pith_number":"pith:IAQNND7V","canonical_record":{"source":{"id":"2505.13555","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-19T07:00:17Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e69fbf80e6161270fdc1ce0300fe2d863d5da633bcae7cb84fc3a6ec55883d0e","abstract_canon_sha256":"ac4e888332e3cf009ddf7a5160e3396d0747eb24ebef78a6fafc16eba32e4ebf"},"schema_version":"1.0"},"canonical_sha256":"4020d68ff50abc894838b577eebea4d7202e0caa644e5b1c4a8e1f7d5f6f6830","source":{"kind":"arxiv","id":"2505.13555","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13555","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13555v1","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13555","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"IAQNND7VBK6I","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"IAQNND7VBK6ISSBY","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"IAQNND7V","created_at":"2026-07-05T11:20:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IAQNND7VBK6ISSBYWV365PVE24","target":"record","payload":{"canonical_record":{"source":{"id":"2505.13555","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-19T07:00:17Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e69fbf80e6161270fdc1ce0300fe2d863d5da633bcae7cb84fc3a6ec55883d0e","abstract_canon_sha256":"ac4e888332e3cf009ddf7a5160e3396d0747eb24ebef78a6fafc16eba32e4ebf"},"schema_version":"1.0"},"canonical_sha256":"4020d68ff50abc894838b577eebea4d7202e0caa644e5b1c4a8e1f7d5f6f6830","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:20:54.113168Z","signature_b64":"OSWOam0hX9/KuUkq+8FCTJauhXSYllP4gIkPbn506acNIY6bdtGMcml+zY+or7t9X7auGRs8uoDTZk5mesv8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4020d68ff50abc894838b577eebea4d7202e0caa644e5b1c4a8e1f7d5f6f6830","last_reissued_at":"2026-07-05T11:20:54.112642Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:20:54.112642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.13555","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":"2026-07-05T11:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oNjFKyevPWCHVe98tq9T9loKVoqxntM+3vGBJ5u9L/fmDjjlJusuGnSfYVsLq1P0ND4FE0QdGK0UdmsllmH9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:45:27.180139Z"},"content_sha256":"b59a0852776a56f6505d76f27e208937af266e3f39533a4add6cfb924719a034","schema_version":"1.0","event_id":"sha256:b59a0852776a56f6505d76f27e208937af266e3f39533a4add6cfb924719a034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IAQNND7VBK6ISSBYWV365PVE24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Behzad Eslam Panah, Mana Soleimani, Maryam Kaveh, Narges Heidari","submitted_at":"2025-05-19T07:00:17Z","abstract_excerpt":"This paper is motivated by the application of the inverse isoperimetric inequality to establish constraints on the parameters of gravity's rainbow. We investigate the thermodynamic (in)stability conditions for $d-$dimensional energy-dependent black holes, which are recognized as $d-$ dimensional black holes within the framework of gravity's rainbow. To achieve this, we calculate thermodynamic quantities such as Hawking temperature, entropy, total mass, and heat capacity in both extended and non-extended phase spaces for these black holes. We assess the physical and stable regions by utilizing "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13555","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/2505.13555/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":"2026-07-05T11:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8yBuHvw7Hum3dIYhg+U3idB9QNUAIKhgV78pcYtxB7LZT3nSYXfELEVwyWeSbm5QGoVIJHMP1Edm+I8vtdVhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:45:27.180669Z"},"content_sha256":"21a30fcc096ae953b839a2bdd87855a240a3834e594e0c864413b8a2064a1a33","schema_version":"1.0","event_id":"sha256:21a30fcc096ae953b839a2bdd87855a240a3834e594e0c864413b8a2064a1a33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAQNND7VBK6ISSBYWV365PVE24/bundle.json","state_url":"https://pith.science/pith/IAQNND7VBK6ISSBYWV365PVE24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAQNND7VBK6ISSBYWV365PVE24/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":"2026-08-20T20:45:27Z","links":{"resolver":"https://pith.science/pith/IAQNND7VBK6ISSBYWV365PVE24","bundle":"https://pith.science/pith/IAQNND7VBK6ISSBYWV365PVE24/bundle.json","state":"https://pith.science/pith/IAQNND7VBK6ISSBYWV365PVE24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAQNND7VBK6ISSBYWV365PVE24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IAQNND7VBK6ISSBYWV365PVE24","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":"ac4e888332e3cf009ddf7a5160e3396d0747eb24ebef78a6fafc16eba32e4ebf","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-19T07:00:17Z","title_canon_sha256":"e69fbf80e6161270fdc1ce0300fe2d863d5da633bcae7cb84fc3a6ec55883d0e"},"schema_version":"1.0","source":{"id":"2505.13555","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13555","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13555v1","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13555","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"IAQNND7VBK6I","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"IAQNND7VBK6ISSBY","created_at":"2026-07-05T11:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"IAQNND7V","created_at":"2026-07-05T11:20:54Z"}],"graph_snapshots":[{"event_id":"sha256:21a30fcc096ae953b839a2bdd87855a240a3834e594e0c864413b8a2064a1a33","target":"graph","created_at":"2026-07-05T11:20:54Z","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/2505.13555/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is motivated by the application of the inverse isoperimetric inequality to establish constraints on the parameters of gravity's rainbow. We investigate the thermodynamic (in)stability conditions for $d-$dimensional energy-dependent black holes, which are recognized as $d-$ dimensional black holes within the framework of gravity's rainbow. To achieve this, we calculate thermodynamic quantities such as Hawking temperature, entropy, total mass, and heat capacity in both extended and non-extended phase spaces for these black holes. We assess the physical and stable regions by utilizing ","authors_text":"Behzad Eslam Panah, Mana Soleimani, Maryam Kaveh, Narges Heidari","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-19T07:00:17Z","title":"Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13555","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:b59a0852776a56f6505d76f27e208937af266e3f39533a4add6cfb924719a034","target":"record","created_at":"2026-07-05T11:20:54Z","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":"ac4e888332e3cf009ddf7a5160e3396d0747eb24ebef78a6fafc16eba32e4ebf","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-19T07:00:17Z","title_canon_sha256":"e69fbf80e6161270fdc1ce0300fe2d863d5da633bcae7cb84fc3a6ec55883d0e"},"schema_version":"1.0","source":{"id":"2505.13555","kind":"arxiv","version":1}},"canonical_sha256":"4020d68ff50abc894838b577eebea4d7202e0caa644e5b1c4a8e1f7d5f6f6830","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4020d68ff50abc894838b577eebea4d7202e0caa644e5b1c4a8e1f7d5f6f6830","first_computed_at":"2026-07-05T11:20:54.112642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:20:54.112642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OSWOam0hX9/KuUkq+8FCTJauhXSYllP4gIkPbn506acNIY6bdtGMcml+zY+or7t9X7auGRs8uoDTZk5mesv8Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:20:54.113168Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.13555","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b59a0852776a56f6505d76f27e208937af266e3f39533a4add6cfb924719a034","sha256:21a30fcc096ae953b839a2bdd87855a240a3834e594e0c864413b8a2064a1a33"],"state_sha256":"2716eece8da27148c91defe479053ba6adfe0722978c2f04bc032382e32dbfb7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eXXSwNGi2eaJ59DpYY75U7CUVtQ409epkpxe6A9WL5MnP60I3OpPuDsPF/ozByf5r265X5u7BU+XnOBf3AHMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T20:45:27.185341Z","bundle_sha256":"530a83a64cb6c0061441bafe17f07ef2009bc67acea01b658f864e5b8f676987"}}