{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3IA2H5ZLAVNKVFNNIZRGNE7RNG","short_pith_number":"pith:3IA2H5ZL","canonical_record":{"source":{"id":"1712.09125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-12-25T20:12:29Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1093724439ed6fdc847d552fd267371e24061d9205dc24831bfc494267edddb6","abstract_canon_sha256":"d00aa0bc7f622e0f44180dafd03dc655e885fddc7433e05bbf5754f9a4e3a8d3"},"schema_version":"1.0"},"canonical_sha256":"da01a3f72b055aaa95ad46626693f1699c39dca2673079258a6ea7b1b2c67897","source":{"kind":"arxiv","id":"1712.09125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09125","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09125v1","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09125","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"3IA2H5ZLAVNK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3IA2H5ZLAVNKVFNN","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3IA2H5ZL","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3IA2H5ZLAVNKVFNNIZRGNE7RNG","target":"record","payload":{"canonical_record":{"source":{"id":"1712.09125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-12-25T20:12:29Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1093724439ed6fdc847d552fd267371e24061d9205dc24831bfc494267edddb6","abstract_canon_sha256":"d00aa0bc7f622e0f44180dafd03dc655e885fddc7433e05bbf5754f9a4e3a8d3"},"schema_version":"1.0"},"canonical_sha256":"da01a3f72b055aaa95ad46626693f1699c39dca2673079258a6ea7b1b2c67897","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:44.367651Z","signature_b64":"y6ftGgsj1bZrQjwrlaHkITg2LflWreYSMEdxd8hOW0gQpvKtD+pPEskvIHoXnLPlfe5SHRuisFMWZR0TNe9GCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da01a3f72b055aaa95ad46626693f1699c39dca2673079258a6ea7b1b2c67897","last_reissued_at":"2026-05-17T23:52:44.367178Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:44.367178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.09125","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":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UvAWwTgk4ny0QhwJ2f3K5j+rymjNhRrk+JXMSXEzg46S06ZATOw1A/q/tQTUK7WB8Q085h793N8XS8prAz9/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:55:04.683762Z"},"content_sha256":"66055e958071523fac73ce37ed7adcdae95d91af898238d699bafe9b0aa78f2c","schema_version":"1.0","event_id":"sha256:66055e958071523fac73ce37ed7adcdae95d91af898238d699bafe9b0aa78f2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3IA2H5ZLAVNKVFNNIZRGNE7RNG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quantum Friedmann flat spacetime: Uncertainty Relations, Thermodynamics and some cosmological consequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Stefano Viaggiu","submitted_at":"2017-12-25T20:12:29Z","abstract_excerpt":"We present Friedmann flat spacetime uncertainty relations (STUR) together with some cosmological implications. An interesting link between the Principle of \"gravitational stability against localization of events\" (PGSL) and the holographic Bekenstein entropy bound (HEB) is also investigated. The same theorems leading to our STUR are used to calculate, thanks to the holographic principle, the entropy of the universe at its apparent horizon. The generalized entropy formula can be used to discuss interesting links with a quantum spacetime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09125","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":""},"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":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P24z0pWtZjD3SnCZWabmvJ9zz2/8cl/tKm/9gSWgkUnF/retuSkMuaRHZP0Sf0gYdrqy2UZVgCA2aaxZgOZZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:55:04.684100Z"},"content_sha256":"e855d14acb4aa93317d52a2240333d1709a4a872b4022deda544b6e87382c2d9","schema_version":"1.0","event_id":"sha256:e855d14acb4aa93317d52a2240333d1709a4a872b4022deda544b6e87382c2d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/bundle.json","state_url":"https://pith.science/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/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":"2026-06-02T10:55:04Z","links":{"resolver":"https://pith.science/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG","bundle":"https://pith.science/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/bundle.json","state":"https://pith.science/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IA2H5ZLAVNKVFNNIZRGNE7RNG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3IA2H5ZLAVNKVFNNIZRGNE7RNG","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":"d00aa0bc7f622e0f44180dafd03dc655e885fddc7433e05bbf5754f9a4e3a8d3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-12-25T20:12:29Z","title_canon_sha256":"1093724439ed6fdc847d552fd267371e24061d9205dc24831bfc494267edddb6"},"schema_version":"1.0","source":{"id":"1712.09125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09125","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09125v1","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09125","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"3IA2H5ZLAVNK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3IA2H5ZLAVNKVFNN","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3IA2H5ZL","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:e855d14acb4aa93317d52a2240333d1709a4a872b4022deda544b6e87382c2d9","target":"graph","created_at":"2026-05-17T23:52:44Z","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"},"paper":{"abstract_excerpt":"We present Friedmann flat spacetime uncertainty relations (STUR) together with some cosmological implications. An interesting link between the Principle of \"gravitational stability against localization of events\" (PGSL) and the holographic Bekenstein entropy bound (HEB) is also investigated. The same theorems leading to our STUR are used to calculate, thanks to the holographic principle, the entropy of the universe at its apparent horizon. The generalized entropy formula can be used to discuss interesting links with a quantum spacetime.","authors_text":"Stefano Viaggiu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-12-25T20:12:29Z","title":"A quantum Friedmann flat spacetime: Uncertainty Relations, Thermodynamics and some cosmological consequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09125","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":"sha256:66055e958071523fac73ce37ed7adcdae95d91af898238d699bafe9b0aa78f2c","target":"record","created_at":"2026-05-17T23:52:44Z","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":"d00aa0bc7f622e0f44180dafd03dc655e885fddc7433e05bbf5754f9a4e3a8d3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-12-25T20:12:29Z","title_canon_sha256":"1093724439ed6fdc847d552fd267371e24061d9205dc24831bfc494267edddb6"},"schema_version":"1.0","source":{"id":"1712.09125","kind":"arxiv","version":1}},"canonical_sha256":"da01a3f72b055aaa95ad46626693f1699c39dca2673079258a6ea7b1b2c67897","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da01a3f72b055aaa95ad46626693f1699c39dca2673079258a6ea7b1b2c67897","first_computed_at":"2026-05-17T23:52:44.367178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:44.367178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y6ftGgsj1bZrQjwrlaHkITg2LflWreYSMEdxd8hOW0gQpvKtD+pPEskvIHoXnLPlfe5SHRuisFMWZR0TNe9GCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:44.367651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66055e958071523fac73ce37ed7adcdae95d91af898238d699bafe9b0aa78f2c","sha256:e855d14acb4aa93317d52a2240333d1709a4a872b4022deda544b6e87382c2d9"],"state_sha256":"7704ee6007ba7cd7478fbcb0d1ea8b85cbf77fca800a4fbd17310ed419b70d54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcFZo2OyQ304p81QA90/0MAU4wHsj1Vf0rPloQ2FYHz1JBBbyhkeAmBtlTz09ChXZNUG3FajhrJWadBcnh38Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:55:04.686012Z","bundle_sha256":"4cea153b715f85ed602d89afef4da6b7f5372bad6bfb242e3ccd7191d56f962b"}}