{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:BG236WCIDTMLFEMVHBWE4ZO4SB","short_pith_number":"pith:BG236WCI","schema_version":"1.0","canonical_sha256":"09b5bf58481cd8b29195386c4e65dc905b74f86a794edebeb567dba9730925b0","source":{"kind":"arxiv","id":"gr-qc/0207106","version":3},"attestation_state":"computed","paper":{"title":"Quantum gravity, shadow states, and quantum mechanics","license":"","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Joshua L. Willis, Stephen Fairhurst","submitted_at":"2002-07-26T17:08:42Z","abstract_excerpt":"A program was recently initiated to bridge the gap between the Planck scale physics described by loop quantum gravity and the familiar low energy world. We illustrate the conceptual problems and their solutions through a toy model: quantum mechanics of a point particle. Maxwell fields will be discussed in the second paper of this series which further develops the program and provides details."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0207106","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-07-26T17:08:42Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"b0a003a070d89779630ecfa4ef58365e8259d7fb7dabd0c495f590d665ac3013","abstract_canon_sha256":"b94ca7c8ed5f8e9f16b2a871362ee39cf2ec6e4c52d06269c33fc1d96b7b50df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:32.047736Z","signature_b64":"q3gHYn3t0xozqy8hSN8HlSUlkv2M65vVSkOTscITSN0lXYH/55kb/tQGVvhBrBZWqcoiGqAcNSbqLzkix36AAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09b5bf58481cd8b29195386c4e65dc905b74f86a794edebeb567dba9730925b0","last_reissued_at":"2026-05-18T00:37:32.047210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:32.047210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum gravity, shadow states, and quantum mechanics","license":"","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Joshua L. Willis, Stephen Fairhurst","submitted_at":"2002-07-26T17:08:42Z","abstract_excerpt":"A program was recently initiated to bridge the gap between the Planck scale physics described by loop quantum gravity and the familiar low energy world. We illustrate the conceptual problems and their solutions through a toy model: quantum mechanics of a point particle. Maxwell fields will be discussed in the second paper of this series which further develops the program and provides details."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0207106","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0207106","created_at":"2026-05-18T00:37:32.047283+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0207106v3","created_at":"2026-05-18T00:37:32.047283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0207106","created_at":"2026-05-18T00:37:32.047283+00:00"},{"alias_kind":"pith_short_12","alias_value":"BG236WCIDTML","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"BG236WCIDTMLFEMV","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"BG236WCI","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.17935","citing_title":"The problem of time: a path integral view","ref_index":56,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12173","citing_title":"Chaos and epoch structure in the deformed Mixmaster universe","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08953","citing_title":"Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB","json":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB.json","graph_json":"https://pith.science/api/pith-number/BG236WCIDTMLFEMVHBWE4ZO4SB/graph.json","events_json":"https://pith.science/api/pith-number/BG236WCIDTMLFEMVHBWE4ZO4SB/events.json","paper":"https://pith.science/paper/BG236WCI"},"agent_actions":{"view_html":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB","download_json":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB.json","view_paper":"https://pith.science/paper/BG236WCI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0207106&json=true","fetch_graph":"https://pith.science/api/pith-number/BG236WCIDTMLFEMVHBWE4ZO4SB/graph.json","fetch_events":"https://pith.science/api/pith-number/BG236WCIDTMLFEMVHBWE4ZO4SB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB/action/storage_attestation","attest_author":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB/action/author_attestation","sign_citation":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB/action/citation_signature","submit_replication":"https://pith.science/pith/BG236WCIDTMLFEMVHBWE4ZO4SB/action/replication_record"}},"created_at":"2026-05-18T00:37:32.047283+00:00","updated_at":"2026-05-18T00:37:32.047283+00:00"}