{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:Y4QGZLJEJSXVZSAN3B7RXNGK74","short_pith_number":"pith:Y4QGZLJE","canonical_record":{"source":{"id":"2410.00088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-30T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d19f75b0385634f687a10f7f89f18a6d2ebeff9995dc410fd949c6c83878aa36","abstract_canon_sha256":"55df72a7e193da884ea1466bcea9899b1d578983c1c41da6a8bd646f932981ca"},"schema_version":"1.0"},"canonical_sha256":"c7206cad244caf5cc80dd87f1bb4caff075909584d3bdc8088de1555208f7bd5","source":{"kind":"arxiv","id":"2410.00088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.00088","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"2410.00088v1","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.00088","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"Y4QGZLJEJSXV","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_16","alias_value":"Y4QGZLJEJSXVZSAN","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_8","alias_value":"Y4QGZLJE","created_at":"2026-07-05T09:13:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:Y4QGZLJEJSXVZSAN3B7RXNGK74","target":"record","payload":{"canonical_record":{"source":{"id":"2410.00088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-30T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"d19f75b0385634f687a10f7f89f18a6d2ebeff9995dc410fd949c6c83878aa36","abstract_canon_sha256":"55df72a7e193da884ea1466bcea9899b1d578983c1c41da6a8bd646f932981ca"},"schema_version":"1.0"},"canonical_sha256":"c7206cad244caf5cc80dd87f1bb4caff075909584d3bdc8088de1555208f7bd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:59.338927Z","signature_b64":"+LriQwUyVebId8jJZk5KXSTRHZ6ddSU938mUFOkXWaLGeZ1YLokdB1q7EwE9MP2BF1Lvh8W+Ls/bM+jPINxsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7206cad244caf5cc80dd87f1bb4caff075909584d3bdc8088de1555208f7bd5","last_reissued_at":"2026-07-05T09:13:59.338389Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:59.338389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.00088","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":"2026-07-05T09:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1mzC4+/9KVkPTR82PNjXkpe9BGkiGrtCjRwD+9QcE2fvqUIIfBgdi3TLB5Tk0qaeUM/EEO9BiwTmE83wVVOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T09:13:47.808874Z"},"content_sha256":"f71df2356e2290d11c350f983893ab0fd7cc9defd2b21e93f43faa29fc7c8868","schema_version":"1.0","event_id":"sha256:f71df2356e2290d11c350f983893ab0fd7cc9defd2b21e93f43faa29fc7c8868"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:Y4QGZLJEJSXVZSAN3B7RXNGK74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-horizon aspects of black holes in quantum spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Naveena Kumara, Andjelo Samsarov, Ivica Smoli\\'c, Nikola Herceg, Tajron Juri\\'c","submitted_at":"2024-09-30T18:00:00Z","abstract_excerpt":"We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime. Special attention is given to quantum spacetime arising from $r - \\varphi$ noncommutativity. Tortoise coordinate and near-horizon regions of the effective potentials are analyzed for both polar and axial modes. By carefully examining the associated Schr\\\"odinger-type equations, we provide the asymptotic solutions at the horizon and illustrate some differences betw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.00088","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/2410.00088/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":"2026-07-05T09:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DGEkLHNbR0a7DsR0sVwbScldtYnFIRlJETq8XehsbqZSsqIKR73mMLW+bBmYATI2/OLb4RQxNMmNQKhmM2knBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T09:13:47.809775Z"},"content_sha256":"ac8bf79b5308df45a8e40672dcb0d005387d1c5addbbdbb582646a8c8873c0e8","schema_version":"1.0","event_id":"sha256:ac8bf79b5308df45a8e40672dcb0d005387d1c5addbbdbb582646a8c8873c0e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/bundle.json","state_url":"https://pith.science/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/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":"2026-08-03T09:13:47Z","links":{"resolver":"https://pith.science/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74","bundle":"https://pith.science/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/bundle.json","state":"https://pith.science/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y4QGZLJEJSXVZSAN3B7RXNGK74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Y4QGZLJEJSXVZSAN3B7RXNGK74","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":"55df72a7e193da884ea1466bcea9899b1d578983c1c41da6a8bd646f932981ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-30T18:00:00Z","title_canon_sha256":"d19f75b0385634f687a10f7f89f18a6d2ebeff9995dc410fd949c6c83878aa36"},"schema_version":"1.0","source":{"id":"2410.00088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.00088","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"2410.00088v1","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.00088","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"Y4QGZLJEJSXV","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_16","alias_value":"Y4QGZLJEJSXVZSAN","created_at":"2026-07-05T09:13:59Z"},{"alias_kind":"pith_short_8","alias_value":"Y4QGZLJE","created_at":"2026-07-05T09:13:59Z"}],"graph_snapshots":[{"event_id":"sha256:ac8bf79b5308df45a8e40672dcb0d005387d1c5addbbdbb582646a8c8873c0e8","target":"graph","created_at":"2026-07-05T09:13:59Z","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/2410.00088/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime. Special attention is given to quantum spacetime arising from $r - \\varphi$ noncommutativity. Tortoise coordinate and near-horizon regions of the effective potentials are analyzed for both polar and axial modes. By carefully examining the associated Schr\\\"odinger-type equations, we provide the asymptotic solutions at the horizon and illustrate some differences betw","authors_text":"A. Naveena Kumara, Andjelo Samsarov, Ivica Smoli\\'c, Nikola Herceg, Tajron Juri\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-30T18:00:00Z","title":"Near-horizon aspects of black holes in quantum spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.00088","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:f71df2356e2290d11c350f983893ab0fd7cc9defd2b21e93f43faa29fc7c8868","target":"record","created_at":"2026-07-05T09:13:59Z","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":"55df72a7e193da884ea1466bcea9899b1d578983c1c41da6a8bd646f932981ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-30T18:00:00Z","title_canon_sha256":"d19f75b0385634f687a10f7f89f18a6d2ebeff9995dc410fd949c6c83878aa36"},"schema_version":"1.0","source":{"id":"2410.00088","kind":"arxiv","version":1}},"canonical_sha256":"c7206cad244caf5cc80dd87f1bb4caff075909584d3bdc8088de1555208f7bd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7206cad244caf5cc80dd87f1bb4caff075909584d3bdc8088de1555208f7bd5","first_computed_at":"2026-07-05T09:13:59.338389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:13:59.338389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+LriQwUyVebId8jJZk5KXSTRHZ6ddSU938mUFOkXWaLGeZ1YLokdB1q7EwE9MP2BF1Lvh8W+Ls/bM+jPINxsAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:13:59.338927Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.00088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f71df2356e2290d11c350f983893ab0fd7cc9defd2b21e93f43faa29fc7c8868","sha256:ac8bf79b5308df45a8e40672dcb0d005387d1c5addbbdbb582646a8c8873c0e8"],"state_sha256":"d50712cd47c6536a57e49104d413a9c7729b21b05e53d136e0c5cc6ff7383f3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"24HunfKE0R2oLaoH51Dk2RixR/un1Y5yWbgXsAKpujj9Vh0dXxkVaVly7Qfu8cBDS1uE1j6xC4fLbUtdV3ssBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T09:13:47.817329Z","bundle_sha256":"ddd72546d756116a0846561aaf107a91ecec8734a7bf16fcf4ad8f7e79c78703"}}