{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QPSWOCFRKLMVZR4BMEC5ADC3MU","short_pith_number":"pith:QPSWOCFR","canonical_record":{"source":{"id":"1804.08041","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-21T22:57:42Z","cross_cats_sorted":[],"title_canon_sha256":"63cedd3907812ab180f070e48e65606dc5800c62cbefd7c52f81f9b1b7eef371","abstract_canon_sha256":"bb97ea4bd455f38f52f71fc6ecfe6f48efcb11255ebe4d92645e1830c35b96fb"},"schema_version":"1.0"},"canonical_sha256":"83e56708b152d95cc7816105d00c5b653f3d1cba5b3c05fe90eaf1a217ac262c","source":{"kind":"arxiv","id":"1804.08041","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08041","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08041v3","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08041","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"pith_short_12","alias_value":"QPSWOCFRKLMV","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QPSWOCFRKLMVZR4B","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QPSWOCFR","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QPSWOCFRKLMVZR4BMEC5ADC3MU","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08041","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-21T22:57:42Z","cross_cats_sorted":[],"title_canon_sha256":"63cedd3907812ab180f070e48e65606dc5800c62cbefd7c52f81f9b1b7eef371","abstract_canon_sha256":"bb97ea4bd455f38f52f71fc6ecfe6f48efcb11255ebe4d92645e1830c35b96fb"},"schema_version":"1.0"},"canonical_sha256":"83e56708b152d95cc7816105d00c5b653f3d1cba5b3c05fe90eaf1a217ac262c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:02.964797Z","signature_b64":"Lv9BCjp4pnti78zVvzdqsNNNRTCQpex3m0h9Q9aDQyRmzw954QiUQXhqiZNUak/JP5AKbCHio+9V8HJOTVrXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83e56708b152d95cc7816105d00c5b653f3d1cba5b3c05fe90eaf1a217ac262c","last_reissued_at":"2026-05-17T23:54:02.964134Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:02.964134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08041","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6MidJVTUmAMDMlMJkn9TJMDjeq2TfJMDzCJ+FdDLnOW/nuAhlJ8RDbSKC1Yp+z2iB6D9knMb1FdsDHUvKoTeAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:45:58.241366Z"},"content_sha256":"2d19dc3e372d76d16c39b70697497ddda2da4c4d2716997880635c9fc167a0df","schema_version":"1.0","event_id":"sha256:2d19dc3e372d76d16c39b70697497ddda2da4c4d2716997880635c9fc167a0df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QPSWOCFRKLMVZR4BMEC5ADC3MU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotically Equivalent Functions and Ultrafilters applied to Noncommutative Quantum Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. Mena, J. A. Astorga-Moreno, Miguel A. Garcia-Aspeitia","submitted_at":"2018-04-21T22:57:42Z","abstract_excerpt":"Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar field and positive cosmological constant, and in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultrafilters, offering a suggestive alternative to sketch the behavio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08041","kind":"arxiv","version":3},"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":"2026-05-17T23:54:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sqHtHxF2DllOeM8ZbS7T734jrFLyT5GvcRFvjHq2tWGOLOv/KeETkxmR5HxZ8wXVk0099iTsC22ha6+JtX8dCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:45:58.241723Z"},"content_sha256":"d2203d1371028d74444f689ad195c516f389004cea86c43b7de21b4991ccb298","schema_version":"1.0","event_id":"sha256:d2203d1371028d74444f689ad195c516f389004cea86c43b7de21b4991ccb298"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/bundle.json","state_url":"https://pith.science/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/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":"2026-06-04T03:45:58Z","links":{"resolver":"https://pith.science/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU","bundle":"https://pith.science/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/bundle.json","state":"https://pith.science/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QPSWOCFRKLMVZR4BMEC5ADC3MU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QPSWOCFRKLMVZR4BMEC5ADC3MU","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":"bb97ea4bd455f38f52f71fc6ecfe6f48efcb11255ebe4d92645e1830c35b96fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-21T22:57:42Z","title_canon_sha256":"63cedd3907812ab180f070e48e65606dc5800c62cbefd7c52f81f9b1b7eef371"},"schema_version":"1.0","source":{"id":"1804.08041","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08041","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08041v3","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08041","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"pith_short_12","alias_value":"QPSWOCFRKLMV","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QPSWOCFRKLMVZR4B","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QPSWOCFR","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:d2203d1371028d74444f689ad195c516f389004cea86c43b7de21b4991ccb298","target":"graph","created_at":"2026-05-17T23:54:02Z","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":"Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar field and positive cosmological constant, and in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultrafilters, offering a suggestive alternative to sketch the behavio","authors_text":"E. Mena, J. A. Astorga-Moreno, Miguel A. Garcia-Aspeitia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-21T22:57:42Z","title":"Asymptotically Equivalent Functions and Ultrafilters applied to Noncommutative Quantum Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08041","kind":"arxiv","version":3},"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":"sha256:2d19dc3e372d76d16c39b70697497ddda2da4c4d2716997880635c9fc167a0df","target":"record","created_at":"2026-05-17T23:54:02Z","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":"bb97ea4bd455f38f52f71fc6ecfe6f48efcb11255ebe4d92645e1830c35b96fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-21T22:57:42Z","title_canon_sha256":"63cedd3907812ab180f070e48e65606dc5800c62cbefd7c52f81f9b1b7eef371"},"schema_version":"1.0","source":{"id":"1804.08041","kind":"arxiv","version":3}},"canonical_sha256":"83e56708b152d95cc7816105d00c5b653f3d1cba5b3c05fe90eaf1a217ac262c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83e56708b152d95cc7816105d00c5b653f3d1cba5b3c05fe90eaf1a217ac262c","first_computed_at":"2026-05-17T23:54:02.964134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:02.964134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lv9BCjp4pnti78zVvzdqsNNNRTCQpex3m0h9Q9aDQyRmzw954QiUQXhqiZNUak/JP5AKbCHio+9V8HJOTVrXDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:02.964797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08041","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d19dc3e372d76d16c39b70697497ddda2da4c4d2716997880635c9fc167a0df","sha256:d2203d1371028d74444f689ad195c516f389004cea86c43b7de21b4991ccb298"],"state_sha256":"ce88508503196c941bfc9d6a62e6e39b4019a60ba5c6350787743bc407b55d55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pABN32+eoLuGJR32geyCc9S3kD5NjCcDaF695gN2OYury4O8VDaczM2eAk29M4nhUFyhh5w4QNwT8cY6eL0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:45:58.243770Z","bundle_sha256":"5185f5713e6bff49f7f9485db0076446aa791ed9746df74831b4d4c8e81dcdc5"}}