{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FPGBPC5U6MUQKQDMVJQTYC3G4Y","short_pith_number":"pith:FPGBPC5U","canonical_record":{"source":{"id":"2210.02179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T12:12:57Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"68ceb529dd5e6d38a7f3d15370b18f424a679c60c0f29c9df298b7181a60d2ec","abstract_canon_sha256":"e634cafeb59e0284c78fc5a3d41358eece68cb7c24a77866209b67bb0bc286e5"},"schema_version":"1.0"},"canonical_sha256":"2bcc178bb4f32905406caa613c0b66e61d83037a9d879f7de542d4a4582414ab","source":{"kind":"arxiv","id":"2210.02179","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02179","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02179v2","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02179","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_12","alias_value":"FPGBPC5U6MUQ","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_16","alias_value":"FPGBPC5U6MUQKQDM","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_8","alias_value":"FPGBPC5U","created_at":"2026-07-05T05:50:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FPGBPC5U6MUQKQDMVJQTYC3G4Y","target":"record","payload":{"canonical_record":{"source":{"id":"2210.02179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T12:12:57Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"68ceb529dd5e6d38a7f3d15370b18f424a679c60c0f29c9df298b7181a60d2ec","abstract_canon_sha256":"e634cafeb59e0284c78fc5a3d41358eece68cb7c24a77866209b67bb0bc286e5"},"schema_version":"1.0"},"canonical_sha256":"2bcc178bb4f32905406caa613c0b66e61d83037a9d879f7de542d4a4582414ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:50:50.289052Z","signature_b64":"YrTvAPypzjtNDs0sK2lumjMtw9GUCtbw0Y5h+i2NCyqk2wKZY/qsVJDEqc4cDojBlCB3QxQxGCWmTQO/hTGFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bcc178bb4f32905406caa613c0b66e61d83037a9d879f7de542d4a4582414ab","last_reissued_at":"2026-07-05T05:50:50.288628Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:50:50.288628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.02179","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":"2026-07-05T05:50:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVbcsYv19rWBwW87X7DZxvRigC4O9bbVeiCCnEL9/0K1snQHdPyor1dpoonmEG9bfcR55WX/LVqtfwVYoV7pDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T05:17:38.237575Z"},"content_sha256":"c3adc7a0632f1fb458479a1937fb1f60318279198ffc1e4a849482cda52cd6a4","schema_version":"1.0","event_id":"sha256:c3adc7a0632f1fb458479a1937fb1f60318279198ffc1e4a849482cda52cd6a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FPGBPC5U6MUQKQDMVJQTYC3G4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unimodular Hartle-Hawking wave packets and their probability interpretation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Bruno Alexandre, Jo\\~ao Magueijo","submitted_at":"2022-10-05T12:12:57Z","abstract_excerpt":"We re-examine the Hartle-Hawking wave function from the point of view of a quantum theory which starts from the connection representation and allows for off-shell non-constancy of $\\Lambda$ (as in unimodular theory), with a concomitant dual relational time variable. By translating its structures to the metric representation we find a non-trivial inner product rendering wave packets of Hartle-Hawking waves normalizable and the time evolution unitary; however, the implied probability measure differs significantly from the naive $|\\psi|^2$. In contrast with the (monochromatic) Hartle-Hawking wave"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02179","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.02179/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":"2026-07-05T05:50:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2ciadqV5YW//J64NmdZyOXzLSRajuztUqFW4WxU/CSTSxRHrNWcbaVqh3GRKeJ8pbcOdWzrQJxiJHEH3+5lBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T05:17:38.238094Z"},"content_sha256":"d972506c97fd8118dbe83f53ddd28251ac192f1edcf71150c468e5b5b74c32b6","schema_version":"1.0","event_id":"sha256:d972506c97fd8118dbe83f53ddd28251ac192f1edcf71150c468e5b5b74c32b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/bundle.json","state_url":"https://pith.science/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/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":"2026-08-03T05:17:38Z","links":{"resolver":"https://pith.science/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y","bundle":"https://pith.science/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/bundle.json","state":"https://pith.science/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPGBPC5U6MUQKQDMVJQTYC3G4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FPGBPC5U6MUQKQDMVJQTYC3G4Y","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":"e634cafeb59e0284c78fc5a3d41358eece68cb7c24a77866209b67bb0bc286e5","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T12:12:57Z","title_canon_sha256":"68ceb529dd5e6d38a7f3d15370b18f424a679c60c0f29c9df298b7181a60d2ec"},"schema_version":"1.0","source":{"id":"2210.02179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02179","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02179v2","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02179","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_12","alias_value":"FPGBPC5U6MUQ","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_16","alias_value":"FPGBPC5U6MUQKQDM","created_at":"2026-07-05T05:50:50Z"},{"alias_kind":"pith_short_8","alias_value":"FPGBPC5U","created_at":"2026-07-05T05:50:50Z"}],"graph_snapshots":[{"event_id":"sha256:d972506c97fd8118dbe83f53ddd28251ac192f1edcf71150c468e5b5b74c32b6","target":"graph","created_at":"2026-07-05T05:50:50Z","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/2210.02179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We re-examine the Hartle-Hawking wave function from the point of view of a quantum theory which starts from the connection representation and allows for off-shell non-constancy of $\\Lambda$ (as in unimodular theory), with a concomitant dual relational time variable. By translating its structures to the metric representation we find a non-trivial inner product rendering wave packets of Hartle-Hawking waves normalizable and the time evolution unitary; however, the implied probability measure differs significantly from the naive $|\\psi|^2$. In contrast with the (monochromatic) Hartle-Hawking wave","authors_text":"Bruno Alexandre, Jo\\~ao Magueijo","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T12:12:57Z","title":"Unimodular Hartle-Hawking wave packets and their probability interpretation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02179","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:c3adc7a0632f1fb458479a1937fb1f60318279198ffc1e4a849482cda52cd6a4","target":"record","created_at":"2026-07-05T05:50:50Z","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":"e634cafeb59e0284c78fc5a3d41358eece68cb7c24a77866209b67bb0bc286e5","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T12:12:57Z","title_canon_sha256":"68ceb529dd5e6d38a7f3d15370b18f424a679c60c0f29c9df298b7181a60d2ec"},"schema_version":"1.0","source":{"id":"2210.02179","kind":"arxiv","version":2}},"canonical_sha256":"2bcc178bb4f32905406caa613c0b66e61d83037a9d879f7de542d4a4582414ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bcc178bb4f32905406caa613c0b66e61d83037a9d879f7de542d4a4582414ab","first_computed_at":"2026-07-05T05:50:50.288628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:50.288628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YrTvAPypzjtNDs0sK2lumjMtw9GUCtbw0Y5h+i2NCyqk2wKZY/qsVJDEqc4cDojBlCB3QxQxGCWmTQO/hTGFCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:50.289052Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.02179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3adc7a0632f1fb458479a1937fb1f60318279198ffc1e4a849482cda52cd6a4","sha256:d972506c97fd8118dbe83f53ddd28251ac192f1edcf71150c468e5b5b74c32b6"],"state_sha256":"87e0dc4a326ee88189c1b35b9ee98e93fb9a8a367d19d989e802d073c7e7ff93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A08gu06/Udh1LRmewVLlUPWQJ17Fzg+CPOhhsZojfZ6NWW4Nz6S4uP0As63uQ2fY1+7xhvpORLS0tyQ29zhOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T05:17:38.243021Z","bundle_sha256":"ae462edeec3b483a2597d56384625ef4839f8b1157c2153e30ae72285ecd9e68"}}