{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YKZ3XHCWERZ7NJXG6A3AQCR45P","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":"1f2d18f7f8ac97bb79caf455847b2e60782affcca982a33d67e87b5957b70a90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-30T18:45:43Z","title_canon_sha256":"6e029857dcfd5ac447ce86fb540e510ea6d39705802a3a05dda1cb372e752357"},"schema_version":"1.0","source":{"id":"1208.6261","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6261","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6261v3","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6261","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"YKZ3XHCWERZ7","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YKZ3XHCWERZ7NJXG","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YKZ3XHCW","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:89cd6e326047a9c3ff34045157319dab1020763bf66ed26f7e3a713516770b45","target":"graph","created_at":"2026-05-18T03:00:37Z","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":"Applying Dirac's procedure to $r$-dependent constrained systems, we derive a reduced total Hamiltonian, resembling an upside down harmonic oscillator, which generates the Schwarzschild solution in the mini super-spacetime. Associated with the now $r$-dependent Schrodinger equation is a tower of localized Guth-Pi-Barton wave packets, orthonormal and non-singular, admitting equally spaced average-'energy' levels. Our approach is characterized by a universal quantum mechanical uncertainty structure which enters the game already at the flat spacetime level, and accompanies the massive Schwarzschil","authors_text":"Aharon Davidson, Ben Yellin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-30T18:45:43Z","title":"Schwarzschild Mass Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6261","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":"sha256:56bb43f49b7a9554852a003d014604082165ee571d19e720037744324ab1c9d5","target":"record","created_at":"2026-05-18T03:00:37Z","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":"1f2d18f7f8ac97bb79caf455847b2e60782affcca982a33d67e87b5957b70a90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-30T18:45:43Z","title_canon_sha256":"6e029857dcfd5ac447ce86fb540e510ea6d39705802a3a05dda1cb372e752357"},"schema_version":"1.0","source":{"id":"1208.6261","kind":"arxiv","version":3}},"canonical_sha256":"c2b3bb9c562473f6a6e6f036080a3cebf108e260f0437d60e7e71339a21d52e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2b3bb9c562473f6a6e6f036080a3cebf108e260f0437d60e7e71339a21d52e8","first_computed_at":"2026-05-18T03:00:37.450077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:37.450077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiR1uDJnsLFW2ggkLUzya/DkmafCkphW4mmNOo1qAnBeGxqMQV2rjgkHyP41jxA2JrHuy3ZGK04XbUJH9F5kDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:37.450921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6261","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56bb43f49b7a9554852a003d014604082165ee571d19e720037744324ab1c9d5","sha256:89cd6e326047a9c3ff34045157319dab1020763bf66ed26f7e3a713516770b45"],"state_sha256":"79a896923a99c753b0c07de7c9bb4bb0fb479707ce005f8c0e2e6ff36e451015"}