{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LSGU4NTMTCNA6AEHM3AEDWGZ4M","short_pith_number":"pith:LSGU4NTM","canonical_record":{"source":{"id":"2407.03077","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-03T12:52:22Z","cross_cats_sorted":[],"title_canon_sha256":"b3e4218dfc22dd5f91d2880be4f07ac82be49f4ca5a6aad3b65a4b9dda9ff363","abstract_canon_sha256":"c1b9d601ba4c5eb1001abf85ec48beb711709f5bc0b415f9ecd783da41d79cd9"},"schema_version":"1.0"},"canonical_sha256":"5c8d4e366c989a0f008766c041d8d9e31f315cb8f3c1419bfaf4ca467a569bae","source":{"kind":"arxiv","id":"2407.03077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.03077","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"2407.03077v1","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.03077","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"LSGU4NTMTCNA","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_16","alias_value":"LSGU4NTMTCNA6AEH","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_8","alias_value":"LSGU4NTM","created_at":"2026-07-05T08:54:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LSGU4NTMTCNA6AEHM3AEDWGZ4M","target":"record","payload":{"canonical_record":{"source":{"id":"2407.03077","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-03T12:52:22Z","cross_cats_sorted":[],"title_canon_sha256":"b3e4218dfc22dd5f91d2880be4f07ac82be49f4ca5a6aad3b65a4b9dda9ff363","abstract_canon_sha256":"c1b9d601ba4c5eb1001abf85ec48beb711709f5bc0b415f9ecd783da41d79cd9"},"schema_version":"1.0"},"canonical_sha256":"5c8d4e366c989a0f008766c041d8d9e31f315cb8f3c1419bfaf4ca467a569bae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:54:36.583489Z","signature_b64":"NGg1lUHWK6IaEgKS2iIUSu1PWJhvhJo/YABWGxdT0eS7tC24Gn50wvswm+DOLZlpPB9vIHUIVdR3EdEZUGmNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c8d4e366c989a0f008766c041d8d9e31f315cb8f3c1419bfaf4ca467a569bae","last_reissued_at":"2026-07-05T08:54:36.583045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:54:36.583045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.03077","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":"2026-07-05T08:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sugW1FRafWAvj/o9PW9py5BHJi3tCPSmbhoDQSskmhmnT5UipEQ0qZnql3bOBGQBwmXCYtprwppzSHRJyPkHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:58:44.642392Z"},"content_sha256":"2550dd72b986592517406555f253e905426411a6251bb73b26aa8219af06b8af","schema_version":"1.0","event_id":"sha256:2550dd72b986592517406555f253e905426411a6251bb73b26aa8219af06b8af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LSGU4NTMTCNA6AEHM3AEDWGZ4M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A formalism for the ambiguities of the Wheeler-DeWitt equation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Eftychios Kaimakkamis, Karunava Sil","submitted_at":"2024-07-03T12:52:22Z","abstract_excerpt":"We study ambiguities in the precise formulation of the Wheeler-DeWitt equation for the wavefunction of the Universe that arise due to different operator orderings in the quantum Hamiltonian. We first examine the simpler case of the 1-dimensional minisuperspace model and derive the inner product measure that renders the Hamiltonian hermitian. Based on this, we establish that the Hilbert space inner products and quantum probabilities are universal, free of any ambiguities, at the semiclassical level. Recasting the Wheeler-DeWitt equation in a form invariant under field redefinitions of the minis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.03077","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.03077/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1E4EQBbVT7XSLW92/oOrqoo3kRomEQhV4D8hXHQ3ROf0/Uc1dgEILZaVieORPhifkSTj4JkQtSiz8QXA78qCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:58:44.642887Z"},"content_sha256":"56a5cdaf3013c74935c6a50aa83ab3d5d4ddd524d33cc682c52c138c22d6e03a","schema_version":"1.0","event_id":"sha256:56a5cdaf3013c74935c6a50aa83ab3d5d4ddd524d33cc682c52c138c22d6e03a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/bundle.json","state_url":"https://pith.science/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/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":"2026-08-11T18:58:44Z","links":{"resolver":"https://pith.science/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M","bundle":"https://pith.science/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/bundle.json","state":"https://pith.science/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LSGU4NTMTCNA6AEHM3AEDWGZ4M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LSGU4NTMTCNA6AEHM3AEDWGZ4M","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":"c1b9d601ba4c5eb1001abf85ec48beb711709f5bc0b415f9ecd783da41d79cd9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-03T12:52:22Z","title_canon_sha256":"b3e4218dfc22dd5f91d2880be4f07ac82be49f4ca5a6aad3b65a4b9dda9ff363"},"schema_version":"1.0","source":{"id":"2407.03077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.03077","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"2407.03077v1","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.03077","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"LSGU4NTMTCNA","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_16","alias_value":"LSGU4NTMTCNA6AEH","created_at":"2026-07-05T08:54:36Z"},{"alias_kind":"pith_short_8","alias_value":"LSGU4NTM","created_at":"2026-07-05T08:54:36Z"}],"graph_snapshots":[{"event_id":"sha256:56a5cdaf3013c74935c6a50aa83ab3d5d4ddd524d33cc682c52c138c22d6e03a","target":"graph","created_at":"2026-07-05T08:54:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.03077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study ambiguities in the precise formulation of the Wheeler-DeWitt equation for the wavefunction of the Universe that arise due to different operator orderings in the quantum Hamiltonian. We first examine the simpler case of the 1-dimensional minisuperspace model and derive the inner product measure that renders the Hamiltonian hermitian. Based on this, we establish that the Hilbert space inner products and quantum probabilities are universal, free of any ambiguities, at the semiclassical level. Recasting the Wheeler-DeWitt equation in a form invariant under field redefinitions of the minis","authors_text":"Eftychios Kaimakkamis, Karunava Sil","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-03T12:52:22Z","title":"A formalism for the ambiguities of the Wheeler-DeWitt equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.03077","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":"sha256:2550dd72b986592517406555f253e905426411a6251bb73b26aa8219af06b8af","target":"record","created_at":"2026-07-05T08:54:36Z","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":"c1b9d601ba4c5eb1001abf85ec48beb711709f5bc0b415f9ecd783da41d79cd9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-03T12:52:22Z","title_canon_sha256":"b3e4218dfc22dd5f91d2880be4f07ac82be49f4ca5a6aad3b65a4b9dda9ff363"},"schema_version":"1.0","source":{"id":"2407.03077","kind":"arxiv","version":1}},"canonical_sha256":"5c8d4e366c989a0f008766c041d8d9e31f315cb8f3c1419bfaf4ca467a569bae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c8d4e366c989a0f008766c041d8d9e31f315cb8f3c1419bfaf4ca467a569bae","first_computed_at":"2026-07-05T08:54:36.583045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:54:36.583045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NGg1lUHWK6IaEgKS2iIUSu1PWJhvhJo/YABWGxdT0eS7tC24Gn50wvswm+DOLZlpPB9vIHUIVdR3EdEZUGmNDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:54:36.583489Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.03077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2550dd72b986592517406555f253e905426411a6251bb73b26aa8219af06b8af","sha256:56a5cdaf3013c74935c6a50aa83ab3d5d4ddd524d33cc682c52c138c22d6e03a"],"state_sha256":"a349462a3731bbf8469e7e5e56238a36bbbd4caf50db16fde47998b04ccfd752"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0tKC2Ie2Y2VOcvlCYypA+0f7fYODpQ+YU5vISWHxeqNHU1wJbHca717pcZ8uC7p5jPlKIdXtKtuQl/A8SG8Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:58:44.646132Z","bundle_sha256":"6f9f7913dfe6030c43a322cb74fcc82faca1025eb5e793f093200dfda3794f1d"}}