{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:53GZZDMNJ67BWTDFAX3YBG3WUZ","short_pith_number":"pith:53GZZDMN","canonical_record":{"source":{"id":"1301.6210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-26T05:06:02Z","cross_cats_sorted":[],"title_canon_sha256":"1b12ccaecfb091b9196800b1991e01dcc5aea765717ed0e613bca2bcad66e756","abstract_canon_sha256":"90e58825c58237176db948e734ee1613ac7f35e17cb2caaa81328c6f58baf048"},"schema_version":"1.0"},"canonical_sha256":"eecd9c8d8d4fbe1b4c6505f7809b76a65ff2d698f1885e7ca5d55b7bad936efe","source":{"kind":"arxiv","id":"1301.6210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6210","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6210v1","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6210","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"53GZZDMNJ67B","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"53GZZDMNJ67BWTDF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"53GZZDMN","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:53GZZDMNJ67BWTDFAX3YBG3WUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-26T05:06:02Z","cross_cats_sorted":[],"title_canon_sha256":"1b12ccaecfb091b9196800b1991e01dcc5aea765717ed0e613bca2bcad66e756","abstract_canon_sha256":"90e58825c58237176db948e734ee1613ac7f35e17cb2caaa81328c6f58baf048"},"schema_version":"1.0"},"canonical_sha256":"eecd9c8d8d4fbe1b4c6505f7809b76a65ff2d698f1885e7ca5d55b7bad936efe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:58.246511Z","signature_b64":"I0TrvA0dUMnqiN6FGlBd5coWYSV/mJv4AsQIDRgkfKttwyI9ggataV+r4/8fU+yjFIWAXzu5OCCO21Z/Hho+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eecd9c8d8d4fbe1b4c6505f7809b76a65ff2d698f1885e7ca5d55b7bad936efe","last_reissued_at":"2026-05-18T01:51:58.245996Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:58.245996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6210","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":"2026-05-18T01:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fbodhddqhEbsjAiWSFUAb9YVYPT0wD5XC3dYU2G1MavgZBBlURToBFELS7kYevGquRDgQj/bVx/L7QpoEyTlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:36:22.518373Z"},"content_sha256":"4d2455a1043e24205064e00f0a3932ed82b15e7f7f4e044b8c6de9dd96556ed7","schema_version":"1.0","event_id":"sha256:4d2455a1043e24205064e00f0a3932ed82b15e7f7f4e044b8c6de9dd96556ed7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:53GZZDMNJ67BWTDFAX3YBG3WUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Embedding loop quantum cosmology without piecewise linearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jonathan Engle","submitted_at":"2013-01-26T05:06:02Z","abstract_excerpt":"An important goal is to understand better the relation between full loop quantum gravity (LQG) and the simplified, reduced theory known as loop quantum cosmology (LQC), {\\em directly at the quantum level}. Such a firmer understanding would increase confidence in the reduced theory as a tool for formulating predictions of the full theory, as well as permitting lessons from the reduced theory to guide further development in the full theory. The present paper constructs an embedding of the usual state space of LQC into that of standard LQG, that is, LQG based on \\textit{piecewise analytic paths}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6210","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":"2026-05-18T01:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7+KDm2ppBOCC0U6fdYMbP2WJherEFQuX5fjYC0MA2zWQVudEFOsI9HxGimjLfu3Q0oLCrgfQqI/CiTctwVJEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:36:22.519031Z"},"content_sha256":"f1dda06ea56fae89195b633ed63b99559ad5f501ebe7264a2684cefe553aefb1","schema_version":"1.0","event_id":"sha256:f1dda06ea56fae89195b633ed63b99559ad5f501ebe7264a2684cefe553aefb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/bundle.json","state_url":"https://pith.science/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/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":"2026-05-27T02:36:22Z","links":{"resolver":"https://pith.science/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ","bundle":"https://pith.science/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/bundle.json","state":"https://pith.science/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53GZZDMNJ67BWTDFAX3YBG3WUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:53GZZDMNJ67BWTDFAX3YBG3WUZ","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":"90e58825c58237176db948e734ee1613ac7f35e17cb2caaa81328c6f58baf048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-26T05:06:02Z","title_canon_sha256":"1b12ccaecfb091b9196800b1991e01dcc5aea765717ed0e613bca2bcad66e756"},"schema_version":"1.0","source":{"id":"1301.6210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6210","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6210v1","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6210","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"53GZZDMNJ67B","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"53GZZDMNJ67BWTDF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"53GZZDMN","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:f1dda06ea56fae89195b633ed63b99559ad5f501ebe7264a2684cefe553aefb1","target":"graph","created_at":"2026-05-18T01:51:58Z","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":"An important goal is to understand better the relation between full loop quantum gravity (LQG) and the simplified, reduced theory known as loop quantum cosmology (LQC), {\\em directly at the quantum level}. Such a firmer understanding would increase confidence in the reduced theory as a tool for formulating predictions of the full theory, as well as permitting lessons from the reduced theory to guide further development in the full theory. The present paper constructs an embedding of the usual state space of LQC into that of standard LQG, that is, LQG based on \\textit{piecewise analytic paths}.","authors_text":"Jonathan Engle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-26T05:06:02Z","title":"Embedding loop quantum cosmology without piecewise linearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6210","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":"sha256:4d2455a1043e24205064e00f0a3932ed82b15e7f7f4e044b8c6de9dd96556ed7","target":"record","created_at":"2026-05-18T01:51:58Z","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":"90e58825c58237176db948e734ee1613ac7f35e17cb2caaa81328c6f58baf048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-26T05:06:02Z","title_canon_sha256":"1b12ccaecfb091b9196800b1991e01dcc5aea765717ed0e613bca2bcad66e756"},"schema_version":"1.0","source":{"id":"1301.6210","kind":"arxiv","version":1}},"canonical_sha256":"eecd9c8d8d4fbe1b4c6505f7809b76a65ff2d698f1885e7ca5d55b7bad936efe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eecd9c8d8d4fbe1b4c6505f7809b76a65ff2d698f1885e7ca5d55b7bad936efe","first_computed_at":"2026-05-18T01:51:58.245996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:58.245996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I0TrvA0dUMnqiN6FGlBd5coWYSV/mJv4AsQIDRgkfKttwyI9ggataV+r4/8fU+yjFIWAXzu5OCCO21Z/Hho+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:58.246511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d2455a1043e24205064e00f0a3932ed82b15e7f7f4e044b8c6de9dd96556ed7","sha256:f1dda06ea56fae89195b633ed63b99559ad5f501ebe7264a2684cefe553aefb1"],"state_sha256":"d847002c1daa4538bc46f11b6e21a567d4816618ebc653afc191f965a627a485"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOCdfsYhCATQZQuPcUi8Dr/wp51v/bbinecZk/bDqOtu/dQShDJSVJKMNPjloBElAdSAv1BLDRWpc+OJsML9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:36:22.522568Z","bundle_sha256":"23606a797597108661ff510bca4313f9a9cbbeca3b212520ceab3b6ffe28a62f"}}