{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DFZB2VQV5DTSGUBI6UQD5PIIQF","short_pith_number":"pith:DFZB2VQV","canonical_record":{"source":{"id":"2404.09278","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-14T15:01:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b0ea43d26b6fb0b3667b0bb03480bc84eb7f4310b6a263509036adefb4b86371","abstract_canon_sha256":"62235059c9739aa230e406742a5f8cfc2f55e253eefbe65e20431e5c349ec018"},"schema_version":"1.0"},"canonical_sha256":"19721d5615e8e7235028f5203ebd08815acf21953f72c8efb383bb65d0a08415","source":{"kind":"arxiv","id":"2404.09278","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.09278","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"2404.09278v1","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09278","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"DFZB2VQV5DTS","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_16","alias_value":"DFZB2VQV5DTSGUBI","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_8","alias_value":"DFZB2VQV","created_at":"2026-07-05T08:07:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DFZB2VQV5DTSGUBI6UQD5PIIQF","target":"record","payload":{"canonical_record":{"source":{"id":"2404.09278","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-14T15:01:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b0ea43d26b6fb0b3667b0bb03480bc84eb7f4310b6a263509036adefb4b86371","abstract_canon_sha256":"62235059c9739aa230e406742a5f8cfc2f55e253eefbe65e20431e5c349ec018"},"schema_version":"1.0"},"canonical_sha256":"19721d5615e8e7235028f5203ebd08815acf21953f72c8efb383bb65d0a08415","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:47.851293Z","signature_b64":"LQcd8toWa98QXRO5avrJF8lOOVrPm8J1tfBLijePtizmmiduNeUWMqHO8qUSANcyjHZecLggkV6+yEh5KUgpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19721d5615e8e7235028f5203ebd08815acf21953f72c8efb383bb65d0a08415","last_reissued_at":"2026-07-05T08:07:47.850886Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:47.850886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.09278","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":"2026-07-05T08:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rdgqDLlXUdK+x9iKaVjOvvbY4t8qUon3JG4T+NgQL5OBXP6D6dNtVWgXYRNwizABybK5Ag0X4NpBKrlMDdoHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:29:10.372704Z"},"content_sha256":"3346fed67c5e04603caadaad713525b5b0c2f04ba2445aa26e0fca6132aecd8f","schema_version":"1.0","event_id":"sha256:3346fed67c5e04603caadaad713525b5b0c2f04ba2445aa26e0fca6132aecd8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DFZB2VQV5DTSGUBI6UQD5PIIQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Upper Bound of Barrow Entropy Index from Black Hole Fragmentation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jiayi Xia, Yen Chin Ong","submitted_at":"2024-04-14T15:01:34Z","abstract_excerpt":"Both classical and quantum arguments suggest that if Barrow entropy is correct, its index $\\delta$ must be energy dependent, which would affect the very early universe. Based on thermodynamic stability that sufficiently large black holes should not fragment, we argue that Barrow entropy correction must be small except possibly at the Planckian regime. Furthermore, the fact that a solar mass black hole does not fragment implies an upper bound $\\delta \\lesssim O(10^{-3})$, which surprisingly lies in the same range as the bound obtained from some cosmological considerations assuming fixed $\\delta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09278","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/2404.09278/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":"2026-07-05T08:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IdkBpXv/7fiS6bInG2zUvHdcIYeHFwNrcLZLV+q5QZzMPm1l5fUBtBL7UAoKEYh69NJpcrRt1Tbafr5dfHEsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:29:10.373289Z"},"content_sha256":"c65f3754f979b63c8987fff077e606426e0c2bc89545ff0a2ec4cd2ded6ea8de","schema_version":"1.0","event_id":"sha256:c65f3754f979b63c8987fff077e606426e0c2bc89545ff0a2ec4cd2ded6ea8de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/bundle.json","state_url":"https://pith.science/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/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":"2026-08-09T22:29:10Z","links":{"resolver":"https://pith.science/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF","bundle":"https://pith.science/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/bundle.json","state":"https://pith.science/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFZB2VQV5DTSGUBI6UQD5PIIQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DFZB2VQV5DTSGUBI6UQD5PIIQF","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":"62235059c9739aa230e406742a5f8cfc2f55e253eefbe65e20431e5c349ec018","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-14T15:01:34Z","title_canon_sha256":"b0ea43d26b6fb0b3667b0bb03480bc84eb7f4310b6a263509036adefb4b86371"},"schema_version":"1.0","source":{"id":"2404.09278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.09278","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"2404.09278v1","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.09278","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"DFZB2VQV5DTS","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_16","alias_value":"DFZB2VQV5DTSGUBI","created_at":"2026-07-05T08:07:47Z"},{"alias_kind":"pith_short_8","alias_value":"DFZB2VQV","created_at":"2026-07-05T08:07:47Z"}],"graph_snapshots":[{"event_id":"sha256:c65f3754f979b63c8987fff077e606426e0c2bc89545ff0a2ec4cd2ded6ea8de","target":"graph","created_at":"2026-07-05T08:07:47Z","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/2404.09278/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Both classical and quantum arguments suggest that if Barrow entropy is correct, its index $\\delta$ must be energy dependent, which would affect the very early universe. Based on thermodynamic stability that sufficiently large black holes should not fragment, we argue that Barrow entropy correction must be small except possibly at the Planckian regime. Furthermore, the fact that a solar mass black hole does not fragment implies an upper bound $\\delta \\lesssim O(10^{-3})$, which surprisingly lies in the same range as the bound obtained from some cosmological considerations assuming fixed $\\delta","authors_text":"Jiayi Xia, Yen Chin Ong","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-14T15:01:34Z","title":"Upper Bound of Barrow Entropy Index from Black Hole Fragmentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09278","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":"sha256:3346fed67c5e04603caadaad713525b5b0c2f04ba2445aa26e0fca6132aecd8f","target":"record","created_at":"2026-07-05T08:07:47Z","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":"62235059c9739aa230e406742a5f8cfc2f55e253eefbe65e20431e5c349ec018","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-14T15:01:34Z","title_canon_sha256":"b0ea43d26b6fb0b3667b0bb03480bc84eb7f4310b6a263509036adefb4b86371"},"schema_version":"1.0","source":{"id":"2404.09278","kind":"arxiv","version":1}},"canonical_sha256":"19721d5615e8e7235028f5203ebd08815acf21953f72c8efb383bb65d0a08415","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19721d5615e8e7235028f5203ebd08815acf21953f72c8efb383bb65d0a08415","first_computed_at":"2026-07-05T08:07:47.850886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:07:47.850886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LQcd8toWa98QXRO5avrJF8lOOVrPm8J1tfBLijePtizmmiduNeUWMqHO8qUSANcyjHZecLggkV6+yEh5KUgpDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:07:47.851293Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.09278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3346fed67c5e04603caadaad713525b5b0c2f04ba2445aa26e0fca6132aecd8f","sha256:c65f3754f979b63c8987fff077e606426e0c2bc89545ff0a2ec4cd2ded6ea8de"],"state_sha256":"73de6c54f3f7ca4f07dc3834b78482bfbde4dbb3fb22ce11eed5a6a2eb423a64"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAqycMpcN8DPVB4yJPFcixiA0YTT0G1Kl5RURh+9RQRWOf9MbbMIhkHCmkSGKZ8ip9QhopINRy/7g82bJeuVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:29:10.377543Z","bundle_sha256":"0b5403c1b74ce4f335f6d1c90f0ebe305fc7858db3389a7641ef85433ebec80b"}}