{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3HXU3GMLV6WKJHN6OOMFJEXFWG","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":"068506b287b241585ed811f98f967032293b27515c882c341d23d0bc1328fb42","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-24T13:29:40Z","title_canon_sha256":"e3898ffdc7eb473a6dbb92e65d29ef694af032bb2c06f79b5165d2fbd677a8f7"},"schema_version":"1.0","source":{"id":"1304.6581","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6581","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6581v4","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6581","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"3HXU3GMLV6WK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3HXU3GMLV6WKJHN6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3HXU3GML","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:07007d927c48d4d2a3828e83b38af6c87a38667349d1cb420535c9da2c202ad5","target":"graph","created_at":"2026-05-18T03:01:10Z","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":"In confrontation with serious and fundamental problems towards ultimate theory of quantum gravity and physics of Planck scale, we emphasize the importance of underlying noncommutative space-time such as Snyder's or Yang's Lorentz-covariant quantized space-time. The background of Bekenstein-Hawking's Area-entropy law and Holographic principle is now substantially understood in terms of {\\it Kinematical} Holographic Relation [KHR], which holds in Yang's quantized space-time as the result of the kinematical reduction of spatial degrees of freedom caused by its own nature of noncommutative geometr","authors_text":"Sho Tanaka","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-24T13:29:40Z","title":"Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law, Holographic Principle and Noncommutative Space-Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6581","kind":"arxiv","version":4},"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:bb7ea994bb5001665ae62b9897ab0d840c8aae5ca0df2236a3e8b47496ad2559","target":"record","created_at":"2026-05-18T03:01:10Z","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":"068506b287b241585ed811f98f967032293b27515c882c341d23d0bc1328fb42","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-24T13:29:40Z","title_canon_sha256":"e3898ffdc7eb473a6dbb92e65d29ef694af032bb2c06f79b5165d2fbd677a8f7"},"schema_version":"1.0","source":{"id":"1304.6581","kind":"arxiv","version":4}},"canonical_sha256":"d9ef4d998bafaca49dbe73985492e5b1982ccd82f164c3ae39ca13870e0adb0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9ef4d998bafaca49dbe73985492e5b1982ccd82f164c3ae39ca13870e0adb0e","first_computed_at":"2026-05-18T03:01:10.709915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:10.709915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JxtcZg8rbz/Ak7GZJ+UQAAzyYa+ENES6/e45sVNpQd/bDFYsOwi+iWCP/p5GMzkhPy8YlsFXAr5K+EDGBtY5Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:10.710590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6581","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb7ea994bb5001665ae62b9897ab0d840c8aae5ca0df2236a3e8b47496ad2559","sha256:07007d927c48d4d2a3828e83b38af6c87a38667349d1cb420535c9da2c202ad5"],"state_sha256":"e9deaba9f350f674ce84ad48e8ed972046e0bd5053faaace305b972c27cfb08a"}