{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AJVC4OMI66ZC4N4G5JNUTRX2VW","short_pith_number":"pith:AJVC4OMI","canonical_record":{"source":{"id":"1211.1354","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-06T19:24:40Z","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"title_canon_sha256":"ff4278c9125dd907e1168da216459b96fc0ee8d6b892bbbe94ff16a9bb333fee","abstract_canon_sha256":"4e15f51dac5fad7d1df5e293ab867bae24b9d7d0859950e7526f857417df30c7"},"schema_version":"1.0"},"canonical_sha256":"026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622","source":{"kind":"arxiv","id":"1211.1354","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1354","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1354v2","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1354","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"AJVC4OMI66ZC","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AJVC4OMI66ZC4N4G","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AJVC4OMI","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AJVC4OMI66ZC4N4G5JNUTRX2VW","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1354","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-06T19:24:40Z","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"title_canon_sha256":"ff4278c9125dd907e1168da216459b96fc0ee8d6b892bbbe94ff16a9bb333fee","abstract_canon_sha256":"4e15f51dac5fad7d1df5e293ab867bae24b9d7d0859950e7526f857417df30c7"},"schema_version":"1.0"},"canonical_sha256":"026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:24.877741Z","signature_b64":"/LN3nmU3HGJlzbrFo03X/BojL2Gs9GWg1tr/U/1hk112I8542H+L0g+0MLeyxTO47bOVlgSxGW1MB7YL2xYwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622","last_reissued_at":"2026-05-18T01:53:24.877129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:24.877129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1354","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ftupxoNhMUCBThszr5BRjeetZShu8sds/5CDZFRdbQ365DvlLLQQvzw1ttTJcc8/PIujw3/czvoEjlH8iYOkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:22:09.356580Z"},"content_sha256":"612b779f2f69d1cc67900ee3da36b8f4c77cb00f473026e10a5fa3abbc21af79","schema_version":"1.0","event_id":"sha256:612b779f2f69d1cc67900ee3da36b8f4c77cb00f473026e10a5fa3abbc21af79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AJVC4OMI66ZC4N4G5JNUTRX2VW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Ivan Agullo, William Nelson","submitted_at":"2012-11-06T19:24:40Z","abstract_excerpt":"Cosmological perturbations are generally described by quantum fields on (curved but) classical space-times. While this strategy has a large domain of validity, it can not be justified in the quantum gravity era where curvature and matter densities are of Planck scale. Using techniques from loop quantum gravity, the standard theory of cosmological perturbations is extended to overcome this limitation. The new framework sharpens conceptual issues by distinguishing between the true and apparent trans-Planckian difficulties and provides sufficient conditions under which the true difficulties can b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1354","kind":"arxiv","version":2},"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":"2026-05-18T01:53:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vH+bKOGMRIUQeFwaAjaitbwMj/gFu6ZQLl6lMw6YZfmvolHNPerK16exEB6MjapGTFv+Ibisn3lMHlZdw7TcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:22:09.357172Z"},"content_sha256":"2ea532938beb46d97fa8c64f7a3a5f5866055a766f8857619840c8bb31ae1520","schema_version":"1.0","event_id":"sha256:2ea532938beb46d97fa8c64f7a3a5f5866055a766f8857619840c8bb31ae1520"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/bundle.json","state_url":"https://pith.science/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/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":"2026-05-25T06:22:09Z","links":{"resolver":"https://pith.science/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW","bundle":"https://pith.science/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/bundle.json","state":"https://pith.science/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJVC4OMI66ZC4N4G5JNUTRX2VW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AJVC4OMI66ZC4N4G5JNUTRX2VW","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":"4e15f51dac5fad7d1df5e293ab867bae24b9d7d0859950e7526f857417df30c7","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-06T19:24:40Z","title_canon_sha256":"ff4278c9125dd907e1168da216459b96fc0ee8d6b892bbbe94ff16a9bb333fee"},"schema_version":"1.0","source":{"id":"1211.1354","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1354","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1354v2","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1354","created_at":"2026-05-18T01:53:24Z"},{"alias_kind":"pith_short_12","alias_value":"AJVC4OMI66ZC","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AJVC4OMI66ZC4N4G","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AJVC4OMI","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:2ea532938beb46d97fa8c64f7a3a5f5866055a766f8857619840c8bb31ae1520","target":"graph","created_at":"2026-05-18T01:53:24Z","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":"Cosmological perturbations are generally described by quantum fields on (curved but) classical space-times. While this strategy has a large domain of validity, it can not be justified in the quantum gravity era where curvature and matter densities are of Planck scale. Using techniques from loop quantum gravity, the standard theory of cosmological perturbations is extended to overcome this limitation. The new framework sharpens conceptual issues by distinguishing between the true and apparent trans-Planckian difficulties and provides sufficient conditions under which the true difficulties can b","authors_text":"Abhay Ashtekar, Ivan Agullo, William Nelson","cross_cats":["astro-ph.CO","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-06T19:24:40Z","title":"An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1354","kind":"arxiv","version":2},"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":"sha256:612b779f2f69d1cc67900ee3da36b8f4c77cb00f473026e10a5fa3abbc21af79","target":"record","created_at":"2026-05-18T01:53:24Z","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":"4e15f51dac5fad7d1df5e293ab867bae24b9d7d0859950e7526f857417df30c7","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-06T19:24:40Z","title_canon_sha256":"ff4278c9125dd907e1168da216459b96fc0ee8d6b892bbbe94ff16a9bb333fee"},"schema_version":"1.0","source":{"id":"1211.1354","kind":"arxiv","version":2}},"canonical_sha256":"026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622","first_computed_at":"2026-05-18T01:53:24.877129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:24.877129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/LN3nmU3HGJlzbrFo03X/BojL2Gs9GWg1tr/U/1hk112I8542H+L0g+0MLeyxTO47bOVlgSxGW1MB7YL2xYwCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:24.877741Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1354","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612b779f2f69d1cc67900ee3da36b8f4c77cb00f473026e10a5fa3abbc21af79","sha256:2ea532938beb46d97fa8c64f7a3a5f5866055a766f8857619840c8bb31ae1520"],"state_sha256":"9e9131fef7aeea9f02ef8f9833daece4f035b353755c9bd2acc37b365226c1a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxgKJHaVjnF2kivIvRMvsfww/Yx6eFOjIcO/iChbRHOywJJbArqDkuvjVgjdXz/TbNXkpyIos+c1OdvMrF5CDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T06:22:09.360817Z","bundle_sha256":"96544cf8b8a6fa5adbfe2cb4f3765b5683e7bb66af343aa2eeb1ffdaa55dc304"}}